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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-22 19:41:25 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-22 19:41:25 +0100 |
commit | e11ae4bdaacb3c3e386039ab013ce1ed514b9792 (patch) | |
tree | a4174d7bb285afa53882ef9b9c7039ed8ae865a6 | |
parent | 883368ecef475949b961955f5857ff7ab3944d0d (diff) | |
download | paper-e11ae4bdaacb3c3e386039ab013ce1ed514b9792.tar.gz paper-e11ae4bdaacb3c3e386039ab013ce1ed514b9792.tar.bz2 paper-e11ae4bdaacb3c3e386039ab013ce1ed514b9792.zip |
Deleted a lot.
-rw-r--r-- | .gitignore | 5 | ||||
-rw-r--r-- | essential-ising.bib | 570 | ||||
-rw-r--r-- | essential-ising_prl.txt | 18 | ||||
-rw-r--r-- | essential-ising_prl2.txt | 1 | ||||
-rw-r--r-- | figs/fig-mag_scaling-func-mod.dat | 11514 | ||||
-rw-r--r-- | figs/fig-mag_scaling-func.dat | 10001 | ||||
-rw-r--r-- | figs/fig-series-data.dat | 15 | ||||
-rw-r--r-- | figs/fig-series.gplot | 29 | ||||
-rw-r--r-- | figs/fig-sus_scaling-func-mod.dat | 11515 | ||||
-rw-r--r-- | figs/fig-sus_scaling-func.dat | 10001 | ||||
-rw-r--r-- | figs/fig-susmag.gplot | 133 | ||||
-rw-r--r-- | makefile | 21 | ||||
-rw-r--r-- | refs/PhysRevB.40.9006.pdf | bin | 670094 -> 0 bytes |
13 files changed, 1 insertions, 43822 deletions
@@ -4,7 +4,4 @@ *.blg *Notes.bib *.dvi -essential-ising.pdf - -figs/*.tex -fig-*.tex +/*.pdf diff --git a/essential-ising.bib b/essential-ising.bib deleted file mode 100644 index 64dacb0..0000000 --- a/essential-ising.bib +++ /dev/null @@ -1,570 +0,0 @@ - -@article{ambegaokar.1978.dissipation, - author = "V. Ambegaokar and B. I. Halperin and D. Nelson and E. Siggia", - year = "1978", - journal = "Physical Review Letters", - volume = "40", - pages = "783--6", - title = "Dissipation in two-dimensional superfluids", -} - -@article{ambegaokar.1980.dynamics, - author = "V. Ambegaokar and B. I. Halperin and D. Nelson and E. Siggia", - year = "1980", - journal = "Physical Review B", - volume = "21", - pages = "1806--26", - title = "Dynamics of superfluid films", -} - -@article{aharony.1983.fields, - title={Nonlinear scaling fields and corrections to scaling near criticality}, - author={Aharony, Amnon and Fisher, Michael E}, - journal={Physical Review B}, - volume={27}, - number={7}, - pages={4394}, - year={1983}, - publisher={APS} -} - -@article{assis.2017.analyticity, - title={Analyticity of the Ising susceptibility: An interpretation}, - author={Assis, M and Jacobsen, JL and Jensen, I and Maillard, JM and McCoy, BM}, - journal={arXiv preprint arXiv:1705.02541}, - year={2017} -} - -@article{barouch.1973.susceptibility, - title={Zero-field susceptibility of the two-dimensional Ising model near ${T}_c$}, - author={Barouch, Eytan and McCoy, Barry M and Wu, Tai Tsun}, - journal={Physical Review Letters}, - volume={31}, - number={23}, - pages={1409}, - year={1973}, - publisher={APS} -} - -@article{baxter.1979.series, - 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journal={Journal of Statistical Physics}, - volume={145}, - number={3}, - pages={549--590}, - year={2011}, - publisher={Springer} -} - -@article{chen.2013.universal, - title={Universal scaling function for the two-dimensional Ising model in an external field: A pragmatic approach}, - author={Chen, Yan-Jiun and Paquette, Natalie M and Machta, Benjamin B and Sethna, James P}, - journal={arXiv preprint arXiv:1307.6899}, - year={2013} -} - -@article{dahm.1989.dynamics, - title={Dynamics of dislocation-mediated melting in a two-dimensional lattice in the presence of an oscillatory applied strain}, - author={Dahm, AJ and Stan, MA and Petschek, RG}, - journal={Physical Review B}, - volume={40}, - number={13}, - pages={9006}, - year={1989}, - publisher={APS} -} - -@article{dimitrovic.1991.finite, - title={Finite-size effects, goldstone bosons and critical exponents in the d= 3 Heisenberg model}, - author={Dimitrovi{\'c}, I and Hasenfratz, P and Nager, J and Niedermayer, Ferenc}, - journal={Nuclear Physics B}, - volume={350}, - number={3}, - pages={893--905}, - year={1991}, - publisher={Elsevier} -} - -@article{enting.1980.investigation, - title={An investigation of the high-field series expansions for the square lattice Ising model}, - author={Enting, IG and Baxter, RJ}, - journal={Journal of Physics A: Mathematical and General}, - volume={13}, - number={12}, - pages={3723}, - year={1980}, - publisher={IOP Publishing} -} - -@article{fisher.1967.condensation, - title={The theory of condensation and the critical point}, - author={Fisher, Michael E}, - journal={Physics}, - volume={3}, - number={5}, - pages={255--283}, - year={1967}, - publisher={Physics Publishing Company} -} - -@article{fisher.1999.trigonometric, - title={Trigonometric models for scaling behavior near criticality}, - author={Fisher, Michael E and Zinn, Shun-yong and Upton, Paul J}, - journal={Physical Review B}, - volume={59}, - number={22}, - pages={14533}, - year={1999}, - publisher={APS} -} - -@book{flanigan.1972.complex, - title={Complex variables: harmonic and analytic functions}, - author={Flanigan, Francis J}, - year={1972}, - publisher={Courier Corporation} -} - -@article{gaveau.1989.analytic, - title={Metastable decay rates and analytic continuation}, - author={Gaveau, B and Schulman, LS}, - journal={Letters in Mathematical Physics}, - volume={18}, - number={3}, - pages={201--208}, - year={1989}, - publisher={Springer} -} - -@article{griffiths.1967.functions, - title={Thermodynamic functions for fluids and ferromagnets near the critical point}, - author={Griffiths, Robert B}, - journal={Physical Review}, - volume={158}, - number={1}, - pages={176}, - year={1967}, - publisher={APS} -} - -@article{guida.1997.3dising, - title={3D Ising model: the scaling equation of state}, - author={Guida, Riccardo and Zinn-Justin, J}, - journal={Nuclear Physics B}, - volume={489}, - number={3}, - pages={626--652}, - year={1997}, - publisher={Elsevier} -} - -@article{gunther.1980.goldstone, - title={Goldstone modes in vacuum decay and first-order phase transitions}, - author={G{\"u}nther, NJ and Wallace, DJ and Nicole, DA}, - journal={Journal of Physics A: Mathematical and General}, - volume={13}, - number={5}, - pages={1755}, - year={1980}, - publisher={IOP Publishing} -} - -@article{gunther.1993.transfer-matrix, - title={Numerical transfer-matrix study of metastability in the $d=2$ {I}sing model}, - author={G{\"u}nther, Christoph CA and Rikvold, Per Arne and Novotny, MA}, - journal={Physical review letters}, - volume={71}, - number={24}, - pages={3898}, - year={1993}, - publisher={APS} -} - -@article{guttmann.1996.solvability, - title={Solvability of some statistical mechanical systems}, - author={Guttmann, AJ and Enting, IG}, - journal={Physical review letters}, - volume={76}, - number={3}, - pages={344}, - year={1996}, - publisher={APS} -} - -@article{harris.1984.metastability, - title={Metastability in the (1+ 1) D Ising model: a primitive droplet model calculation}, - author={Harris, CK}, - journal={Journal of Physics A: Mathematical and General}, - volume={17}, - number={8}, - pages={1767}, - year={1984}, - publisher={IOP Publishing} -} - -@article{houghton.1980.metastable, - title={The metastable Ising magnet in a negative field}, - author={Hougton, Anthony and Lubensky, Tom C}, - journal={Physics Letters A}, - volume={77}, - number={6}, - pages={479--480}, - year={1980}, - publisher={North-Holland} -} - -@article{jacucci.1983.monte, - title={Monte Carlo computation of cluster free energies in the Ising model: a test for the validity of the capillarity approximation}, - author={Jacucci, G and Perini, A and Martin, G}, - journal={Journal of Physics A: Mathematical and General}, - volume={16}, - number={2}, - pages={369}, - year={1983}, - publisher={IOP Publishing} -} - -@article{josephson.1969.equation, - title={Equation of state near the critical point}, - author={Josephson, BD}, - journal={Journal of Physics C: Solid State Physics}, - volume={2}, - number={7}, - pages={1113}, - year={1969}, - publisher={IOP Publishing} -} - -@article{kent-dobias.2018.parametric, - author={Kent-Dobias, Jaron and Sethna, James P}, - journal={(unpublished)}, - year={2018} -} - -@article{kent-dobias.2018.wolff, - author={Kent-Dobias, Jaron and Sethna, James P}, - journal={(unpublished)}, - year={2018} -} - -@article{klein.1976.essential, - title={Essential singularities at first-order phase transitions}, - author={Klein, W and Wallace, DJ and Zia, RKP}, - journal={Physical Review Letters}, - volume={37}, - number={11}, - pages={639}, - year={1976}, - publisher={APS} -} - -@article{langer.1967.condensation, - title={Theory of the condensation point}, - author={Langer, James S}, - journal={Annals of Physics}, - volume={41}, - number={1}, - pages={108--157}, - year={1967}, - publisher={Elsevier} -} - -@article{langer.1969.metastable, - title={Statistical theory of the decay of metastable states}, - author={Langer, James S}, - journal={Annals of Physics}, - volume={54}, - number={2}, - pages={258--275}, - year={1969}, - publisher={Elsevier} -} - -@article{lipatov.1977.divergence, - title={Divergence of the perturbation theory series and the quasiclassical theory}, - author={Lipatov, LN}, - journal={Sov. Phys. JETP}, - volume={45}, - number={2}, - pages={216--223}, - year={1977} -} - -@article{lowe.1980.instantons, - title={Instantons and the Ising model below Tc}, - author={Lowe, MJ and Wallace, DJ}, - journal={Journal of Physics A: Mathematical and General}, - volume={13}, - number={10}, - pages={L381}, - year={1980}, - publisher={IOP Publishing} -} - -@article{mangazeev.2008.variational, - title={Variational approach to the scaling function of the 2D Ising model in a magnetic field}, - author={Mangazeev, Vladimir V and Batchelor, Murray T and Bazhanov, Vladimir V and Dudalev, Michael Yu}, - journal={Journal of Physics A: Mathematical and Theoretical}, - volume={42}, - number={4}, - pages={042005}, - year={2008}, - publisher={IOP Publishing} -} - -@article{mangazeev.2010.scaling, - title={Scaling and universality in the two-dimensional Ising model with a magnetic field}, - author={Mangazeev, Vladimir V and Dudalev, Michael Yu and Bazhanov, Vladimir V and Batchelor, Murray T}, - journal={Physical Review E}, - volume={81}, - number={6}, - pages={060103}, - year={2010}, - publisher={APS} -} - -@article{mccraw.1978.metastability, - title={Metastability in the two-dimensional Ising model}, - author={McCraw, RJ and Schulman, LS}, - journal={Journal of Statistical Physics}, - volume={18}, - number={3}, - pages={293--308}, - year={1978}, - publisher={Springer} -} - -@article{newman.1977.metastability, - title={Metastability and the analytic continuation of eigenvalues}, - author={Newman, CM and Schulman, LS}, - journal={Journal of Mathematical Physics}, - volume={18}, - number={1}, - pages={23--30}, - year={1977}, - publisher={AIP} -} - -@article{nickel.1999.singularity, - title={On the singularity structure of the 2D Ising model susceptibility}, - author={Nickel, Bernie}, - journal={Journal of Physics A: Mathematical and General}, - volume={32}, - number={21}, - pages={3889}, - year={1999}, - publisher={IOP Publishing} -} - -@article{nickel.2000.addendum, - title={Addendum toOn the singularity structure of the 2D Ising model susceptibility'}, - author={Nickel, Bernie}, - journal={Journal of Physics A: Mathematical and General}, - volume={33}, - number={8}, - pages={1693}, - year={2000}, - publisher={IOP Publishing} -} - -@article{onsager.1944.crystal, - title={Crystal statistics. 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II. Phase-space cell analysis of critical behavior}, - author={Wilson, Kenneth G}, - journal={Physical Review B}, - volume={4}, - number={9}, - pages={3184}, - year={1971}, - publisher={APS} -} - -@article{wu.1976.spin, - title={Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region}, - author={Wu, Tai Tsun and McCoy, Barry M and Tracy, Craig A and Barouch, Eytan}, - journal={Physical Review B}, - volume={13}, - number={1}, - pages={316}, - year={1976}, - publisher={APS} -} - -@article{zinn.1996.universal, - title={Universal surface-tension and critical-isotherm amplitude ratios in three dimensions}, - author={Zinn, Shun-yong and Fisher, Michael E}, - journal={Physica A: Statistical Mechanics and its Applications}, - volume={226}, - number={1-2}, - pages={168--180}, - year={1996}, - publisher={Elsevier} -} - - diff --git a/essential-ising_prl.txt b/essential-ising_prl.txt deleted file mode 100644 index 41039c1..0000000 --- a/essential-ising_prl.txt +++ /dev/null @@ -1,18 +0,0 @@ - -The renormalization group and the scaling theories that result from its use -have become essential to our understanding of singular behavior in -thermodynamic functions at continuous phase transitions. Despite this, they -have long been viewed as irrelevant to the quantitative study of abrupt phase -transitions, and likewise the presence of an abrupt phase transition has -typically been considered irrelevant to scaling analysis. Our work -demonstrates, for one common model with both a continuous and a -line of abrupt transitions, that well-known singularities in thermodynamic -functions at the abrupt transition long assumed to be unobservable are in fact -part of the scaling theory of the critical point, and make explicit -predictions confirmed by numerics. This result indicates that many published -statistical models whose abrupt transitions were not incorporated into scaling -theories should be revisited, and introduces a novel new method for -determining new universal scaling properties in previously poorly-understood -regimes. - - diff --git a/essential-ising_prl2.txt b/essential-ising_prl2.txt deleted file mode 100644 index 1cc1f44..0000000 --- a/essential-ising_prl2.txt +++ /dev/null @@ -1 +0,0 @@ -The Ising model critical point governs the termination of a line of abrupt transitions (e.g., the liquid-gas transition endpoint at high pressure). The universal scaling functions describing the critical behavior in non-zero field have long been a challenge. We show that these scaling functions inherit an essential singularity from the abrupt transition line, associated with the nucleation of droplets in the metastable phase (e.g. the supercooled gas), giving an analytic formula for the singularity and fitting to simulations. This same basic method may be useful in studying other critical points with metastability, such as in glasses and disordered systems. diff --git a/figs/fig-mag_scaling-func-mod.dat b/figs/fig-mag_scaling-func-mod.dat deleted file mode 100644 index fc2947a..0000000 --- a/figs/fig-mag_scaling-func-mod.dat +++ /dev/null @@ -1,11514 +0,0 @@ -0.0007052661693227589 1.222409953716735 -0.001122417188767094 1.222420598483419 -0.0015398054716768543 1.222431246058725 -0.001957431099433065 1.2224418966267505 -0.0023752941534654344 1.2224525501764913 -0.0027933947152594856 1.2224632067121646 -0.00321173286636588 1.2224738662400279 -0.0036303086883853297 1.2224845287591373 -0.00404912226296338 1.2224951942680957 -0.004468173671817067 1.222505862767504 -0.004887462996716529 1.2225165342554214 -0.005306990319480478 1.2225272087320074 -0.00572675572197753 1.2225378861967173 -0.006146759286147286 1.2225485666489038 -0.006567001093987319 1.2225592500879203 -0.006987481227529069 1.222569936513495 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-1.0669477552929837e6 2.663399136512721 -1.138490291132924e6 2.6747472834866306 -1.2176467638899104e6 2.6865443947089833 -1.3055510510561843e6 2.6988253109545566 -1.4035579738756218e6 2.711629003015097 -1.5132973520987974e6 2.7249992439505766 -1.6367442112493918e6 2.7389854229932147 -1.7763109241656e6 2.7536435383468723 -1.9349695128600472e6 2.7690374180242117 -2.1164159888520204e6 2.785240234328246 -2.325294162119624e6 2.8023364006542875 -2.567504950366876e6 2.8204239720871653 -2.8506408255909206e6 2.8396177187044502 -3.184607052541567e6 2.8600531102747375 -3.5825279183566994e6 2.881891555835521 -4.0620985444210405e6 2.9053274023805473 -4.647652815650207e6 2.9305974496963643 -5.37341875376814e6 2.9579941470646913 -6.288814627227808e6 2.9878843191825624 -7.467400646664244e6 3.020736447105408 -9.022704946080195e6 3.057161653651669 -1.1137746429293964e7 3.0979775604308606 -1.4123832687882882e7 3.1443122377383275 -1.8547632603479035e7 3.1977827893961552 -2.553632920181244e7 3.2608237627575063 -3.762239475833869e7 3.3373472708378333 -6.161471090212426e7 3.434242107873912 -1.2218708815216324e8 3.5654485387101857 -3.8873411154002964e8 3.766872238228526
\ No newline at end of file diff --git a/figs/fig-mag_scaling-func.dat b/figs/fig-mag_scaling-func.dat deleted file mode 100644 index 6605f7f..0000000 --- a/figs/fig-mag_scaling-func.dat +++ /dev/null @@ -1,10001 +0,0 @@ --5. -5.19612649357 --4.999 -5.19512627799 --4.998 -5.19412637808 --4.997 -5.19312647777 --4.996 -5.19212657715 --4.995 -5.19112636376 --4.994 -5.19012646311 --4.993 -5.18912656215 --4.992 -5.1881266608 --4.991 -5.18712644959 --4.99 -5.1861265483 --4.989 -5.18512664662 --4.988 -5.18412643725 --4.987 -5.18312653559 --4.986 -5.18212663357 --4.985 -5.18112673126 --4.984 -5.180126524 --4.983 -5.17912662166 --4.982 -5.17812671903 --4.981 -5.177126816 --4.98 -5.17612661093 --4.979 -5.17512670792 --4.978 -5.17412680459 --4.977 -5.17312660127 --4.976 -5.17212669794 --4.975 -5.17112679429 --4.974 -5.17012689034 --4.973 -5.16912668908 --4.972 -5.16812678516 --4.971 -5.16712688086 --4.97 -5.16612697624 --4.969 -5.1651267771 --4.968 -5.1641268725 --4.967 -5.16312696757 --4.966 -5.16212706235 --4.965 -5.16112686524 --4.964 -5.16012696005 --4.963 -5.15912705449 --4.962 -5.1581268591 --4.961 -5.1571269536 --4.96 -5.15612704775 --4.959 -5.15512714157 --4.958 -5.15412694826 --4.957 -5.15312704211 --4.956 -5.15212713569 --4.955 -5.15112722891 --4.954 -5.15012703758 --4.953 -5.14912713086 --4.952 -5.14812722379 --4.951 -5.14712703414 --4.95 -5.14612712713 --4.949 -5.14512721978 --4.948 -5.14412731216 --4.947 -5.1431271245 --4.946 -5.14212721687 --4.945 -5.14112730897 --4.944 -5.14012740072 --4.943 -5.13912721504 --4.942 -5.13812730686 --4.941 -5.13712739834 --4.94 -5.13612748956 --4.939 -5.13512730585 --4.938 -5.13412739706 --4.937 -5.133127488 --4.936 -5.13212730592 --4.935 -5.13112739686 --4.934 -5.13012748754 --4.933 -5.12912757789 --4.932 -5.12812739778 --4.931 -5.12712748816 --4.93 -5.12612757824 --4.929 -5.12512766807 --4.928 -5.12412748985 --4.927 -5.12312757968 --4.926 -5.12212766925 --4.925 -5.12112749262 --4.924 -5.12012758223 --4.923 -5.11912767151 --4.922 -5.1181277605 --4.921 -5.11712758581 --4.92 -5.11612767484 --4.919 -5.11512776358 --4.918 -5.11412785208 --4.917 -5.11312767924 --4.916 -5.11212776778 --4.915 -5.111127856 --4.914 -5.11012794393 --4.913 -5.109127773 --4.912 -5.10812786098 --4.911 -5.10712794868 --4.91 -5.10612777929 --4.909 -5.10512786703 --4.908 -5.10412795452 --4.907 -5.10312804171 --4.906 -5.10212787413 --4.905 -5.1011279614 --4.904 -5.10012804835 --4.903 -5.09912813504 --4.902 -5.09812796933 --4.901 -5.09712805606 --4.9 -5.09612814255 --4.899 -5.09512797832 --4.898 -5.09412806482 --4.897 -5.09312815109 --4.896 -5.09212823706 --4.895 -5.09112807463 --4.894 -5.09012816068 --4.893 -5.08912824643 --4.892 -5.08812833195 --4.891 -5.08712817133 --4.89 -5.08612825686 --4.889 -5.08512834217 --4.888 -5.08412842718 --4.887 -5.08312826834 --4.886 -5.08212835343 --4.885 -5.08112843823 --4.884 -5.0801282809 --4.883 -5.07912836575 --4.882 -5.07812845035 --4.881 -5.07712853472 --4.88 -5.07612837911 --4.879 -5.0751284635 --4.878 -5.07412854767 --4.877 -5.07312863156 --4.876 -5.07212847773 --4.875 -5.07112856167 --4.874 -5.07012864537 --4.873 -5.06912849297 --4.872 -5.06812857672 --4.871 -5.06712866025 --4.87 -5.0661287435 --4.869 -5.0651285928 --4.868 -5.06412867613 --4.867 -5.0631287592 --4.866 -5.06212884202 --4.865 -5.06112869306 --4.864 -5.06012877593 --4.8629999999999995 -5.05912885857 --4.862 -5.058128941 --4.861 -5.05712879371 --4.86 -5.05612887619 --4.859 -5.05512895841 --4.858 -5.05412881252 --4.857 -5.05312889482 --4.856 -5.05212897685 --4.855 -5.05112905869 --4.854 -5.05012891449 --4.853 -5.04912899634 --4.852 -5.048129078 --4.851 -5.0471291594 --4.85 -5.04612901686 --4.849 -5.04512909835 --4.848 -5.04412917957 --4.847 -5.04312903844 --4.846 -5.04212911972 --4.845 -5.04112920078 --4.844 -5.04012928165 --4.843 -5.03912914213 --4.842 -5.03812922302 --4.841 -5.03712930373 --4.84 -5.03612938417 --4.839 -5.03512924633 --4.838 -5.03412932684 --4.837 -5.03312940713 --4.836 -5.03212948723 --4.835 -5.03112935097 --4.834 -5.03012943111 --4.833 -5.02912951106 --4.832 -5.02812937614 --4.831 -5.02712945615 --4.83 -5.02612953591 --4.829 -5.02512961547 --4.828 -5.02412948218 --4.827 -5.0231295618 --4.826 -5.02212964121 --4.825 -5.02112972043 --4.824 -5.02012958871 --4.823 -5.019129668 --4.822 -5.01812974705 --4.821 -5.01712961664 --4.82 -5.01612969579 --4.819 -5.0151297747 --4.818 -5.01412985341 --4.817 -5.01312972461 --4.816 -5.01212980338 --4.815 -5.01112988198 --4.814 -5.01012985739 --4.813 -5.0091299358 --4.812 -5.00812991154 --4.811 -5.00712998978 --4.81 -5.0061299658 --4.809 -5.00512994213 --4.808 -5.00413002024 --4.807 -5.00312999686 --4.806 -5.00213007481 --4.805 -5.00113005172 --4.804 -5.00013012953 --4.803 -4.99913010674 --4.802 -4.99813018437 --4.801 -4.99713016191 --4.8 -4.99613023938 --4.799 -4.99513021722 --4.798 -4.99413029454 --4.797 -4.99313027266 --4.796 -4.99213025108 --4.795 -4.99113032827 --4.794 -4.99013030696 --4.793 -4.98913038404 --4.792 -4.98813036303 --4.791 -4.98713043996 --4.79 -4.98613041925 --4.789 -4.985130496 --4.788 -4.98413047562 --4.787 -4.98313055223 --4.786 -4.98213053213 --4.785 -4.98113060861 --4.784 -4.98013058881 --4.783 -4.9791305693 --4.782 -4.97813064566 --4.781 -4.97713062642 --4.78 -4.97613070266 --4.779 -4.97513068372 --4.778 -4.9741307598 --4.777 -4.97313074119 --4.776 -4.97213081713 --4.775 -4.97113079882 --4.774 -4.97013087463 --4.773 -4.96913085659 --4.772 -4.96813093229 --4.771 -4.96713091455 --4.77 -4.96613089706 --4.769 -4.96513097267 --4.768 -4.96413095549 --4.767 -4.96313103098 --4.766 -4.96213101408 --4.765 -4.96113108942 --4.764 -4.96013107285 --4.763 -4.95913114806 --4.762 -4.95813113176 --4.761 -4.95713120687 --4.76 -4.95613119087 --4.759 -4.95513126586 --4.758 -4.95413125016 --4.757 -4.95313123471 --4.756 -4.95213130962 --4.755 -4.95113129447 --4.754 -4.95013136924 --4.753 -4.94913135441 --4.752 -4.94813142906 --4.751 -4.94713141453 --4.75 -4.94613148906 --4.749 -4.9451314748 --4.748 -4.94413154925 --4.747 -4.94313153528 --4.746 -4.94213160962 --4.745 -4.94113159594 --4.744 -4.94013158252 --4.743 -4.93913165679 --4.742 -4.93813164367 --4.741 -4.93713171781 --4.74 -4.936131705 --4.739 -4.93513177904 --4.7379999999999995 -4.9341317665 --4.737 -4.93313184046 --4.736 -4.93213182821 --4.735 -4.93113190207 --4.734 -4.93013189012 --4.733 -4.92913196385 --4.732 -4.92813195221 --4.731 -4.9271319408 --4.73 -4.92613201451 --4.729 -4.92513200339 --4.728 -4.92413207697 --4.727 -4.92313206618 --4.726 -4.92213213966 --4.725 -4.92113212914 --4.724 -4.92013220255 --4.723 -4.91913219232 --4.7219999999999995 -4.91813226562 --4.721 -4.9171322557 --4.72 -4.91613232892 --4.719 -4.91513231929 --4.718 -4.91413230988 --4.717 -4.91313238306 --4.716 -4.91213237397 --4.715 -4.91113244706 --4.714 -4.91013243826 --4.713 -4.90913251127 --4.712 -4.90813250274 --4.711 -4.90713257568 --4.71 -4.90613256744 --4.709 -4.90513264029 --4.708 -4.90413263237 --4.707 -4.90313270513 --4.706 -4.9021326975 --4.705 -4.90113269009 --4.704 -4.90013276283 --4.703 -4.89913275573 --4.702 -4.89813282839 --4.701 -4.89713282156 --4.7 -4.89613289418 --4.699 -4.89513288764 --4.698 -4.89413296018 --4.697 -4.89313295393 --4.696 -4.89213302638 --4.695 -4.89113302045 --4.694 -4.89013309283 --4.693 -4.88913308716 --4.692 -4.88813308176 --4.691 -4.88713315413 --4.69 -4.88613314901 --4.689 -4.88513322132 --4.688 -4.88413321647 --4.687 -4.88313328873 --4.686 -4.88213328418 --4.685 -4.88113335636 --4.684 -4.88013335212 --4.683 -4.87913342424 --4.682 -4.87813342029 --4.681 -4.87713349235 --4.68 -4.87613348867 --4.679 -4.87513348525 --4.678 -4.87413355731 --4.677 -4.87313355416 --4.676 -4.87213362618 --4.675 -4.87113362332 --4.674 -4.87013369529 --4.673 -4.86913369273 --4.672 -4.86813376463 --4.671 -4.86713376237 --4.67 -4.86613383422 --4.669 -4.86513383223 --4.668 -4.86413390406 --4.667 -4.86313390236 --4.666 -4.86213390092 --4.665 -4.86113397274 --4.664 -4.86013397156 --4.663 -4.85913404336 --4.662 -4.85813404248 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\ No newline at end of file diff --git a/figs/fig-series-data.dat b/figs/fig-series-data.dat deleted file mode 100644 index 4ccd12a..0000000 --- a/figs/fig-series-data.dat +++ /dev/null @@ -1,15 +0,0 @@ -1 1.2224099537167044 1.2224099537167044 1.2224099537167044 1.2224099537167044 -2 0.012768487260938698 0.012768487260939602 0.012768487260938698 0.012768487260939603 -3 0.0029369263679897275 0.0015989187603694952 0.0029369263679897275 0.002936926367989711 -4 0.0014967545682345277 0.0004004454325740371 0.0014967545682345277 0.0014967545682344006 -5 0.001166452519998634 0.00015043592124000494 0.001166452519998634 0.0011664525199984396 -6 0.001176327855808878 0.00007535264335969941 0.001176327855808878 0.0012114652004510617 -7 0.0013967830759039198 0.000047179729536100574 0.0013967830759039198 0.0015642408094569044 -8 0.0018511347255072016 0.0000354481559746861 0.0018511347255072016 0.002408202492731202 -9 0.0026542024660524974 0.00003107267471478146 0.0026542024660524974 0 -10 0.00403913812864002 0.00003112831239660375 0.00403913812864002 0 -11 0.006442796002996578 0.00003508205591405233 0.006442796002996578 0 -12 0.0106807842579893 0.00004393109082303472 0.0106807842579893 0 -13 0.01829412371722729 0.00006051340948184112 0.01829412371722729 0 -14 0.03224179733419373 0.00009093264412340444 0.03224179733419373 0 -15 0.05830886180596288 0.0001480301306974712 0.05830886180596288 0
\ No newline at end of file diff --git a/figs/fig-series.gplot b/figs/fig-series.gplot deleted file mode 100644 index be3876b..0000000 --- a/figs/fig-series.gplot +++ /dev/null @@ -1,29 +0,0 @@ - -set terminal pslatex rotate size 3.417,2.111 - -cc1 = "#5e81b5" -cc2 = "#e19c24" -cc3 = "#8fb032" -cc4 = "#eb6235" - -set logscale y - -data = "figs/fig-series-data.dat" - -set xrange [0.5:15.5] -set yrange [0.000005:5] -set key off -set xlabel '$n$' -set ylabel offset 2 '$|f_n|$' - -set lmargin 7 - -set ytics format '' - -set ytics add ('$\footnotesize10^{-5}$' 10**(-5),'$\footnotesize10^{-4}$' 10**(-4), '$\footnotesize10^{-3}$' 10**(-3),'$\footnotesize10^{-2}$' 10**(-2), '$\footnotesize10^{-1}$' 10**(-1),'$\footnotesize10^{0}$' 10**(0)) - -plot \ - data using 1:3 with points lc rgb cc1, \ - data using 1:2 with points lc rgb cc2, \ - data using 1:5 with points lc rgb cc3 - diff --git a/figs/fig-sus_scaling-func-mod.dat b/figs/fig-sus_scaling-func-mod.dat deleted file mode 100644 index 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\ No newline at end of file diff --git a/figs/fig-sus_scaling-func.dat b/figs/fig-sus_scaling-func.dat deleted file mode 100644 index 5e437f9..0000000 --- a/figs/fig-sus_scaling-func.dat +++ /dev/null @@ -1,10001 +0,0 @@ --5. -0.18602574886192413 --4.999 -0.20913119813695588 --4.998 -0.20046604123735157 --4.997 -0.19205105738757128 --4.996 -0.18386790080579413 --4.995 -0.20643608740337896 --4.994 -0.19799415341720805 --4.993 -0.18978514841699462 --4.992 -0.1818052997439795 --4.991 -0.20385479304682436 --4.99 -0.19562123762010597 --4.989 -0.18761811209055468 --4.988 -0.2096261748169799 --4.987 -0.20137400449635612 --4.986 -0.19334993728808125 --4.985 -0.1855389066702293 --4.984 -0.20704378775524288 --4.983 -0.19899947319539305 --4.982 -0.19116868556010758 --4.981 -0.1835516101909172 --4.98 -0.20456161228466713 --4.979 -0.1967173450946228 --4.978 -0.1890831707056503 --4.977 -0.21004412701222364 --4.976 -0.20218385108511208 --4.975 -0.19453333739614445 --4.974 -0.18708026880150727 --4.973 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\ No newline at end of file diff --git a/figs/fig-susmag.gplot b/figs/fig-susmag.gplot deleted file mode 100644 index 901576f..0000000 --- a/figs/fig-susmag.gplot +++ /dev/null @@ -1,133 +0,0 @@ - -set terminal pslatex rotate size 3.417,4.222 -set multiplot - -cc1 = "#5e81b5" -cc2 = "#e19c24" -cc3 = "#8fb032" -cc4 = "#eb6235" - -Tc = 2 / log(1 + sqrt(2)) -Delta = 15. / 8 -gamma = 7. / 4 -beta = 1. / 8 - -Ch = 0.838677624411 - -t(T) = abs((T - Tc) / T) -h(T, H) = H / T -X(T, H) = h(T, H) * t(T)**(-Delta) - -poly(A, l, m, X) = A * X**m / (1 + (l * X)**(m + 1)) -polyint(A, l, m, X) = A * l**(-(m + 1)) * log(1 + (l * X)**(m + 1)) / (m + 1) - -G(i) = i == 1 ? -1.3578383417066 : \ - i == 2 ? -0.048953289720 : \ - i == 3 ? 0.038863932 : \ - i == 4 ? -0.068362119 : \ - i == 5 ? 0.18388370 : \ - i == 6 ? -0.6591714 : \ - i == 7 ? 2.937665 : \ - i == 8 ? -15.61 : 0 -GC(i) = G(i) * (2 * asinh(1))**2 * (Ch * (2 * asinh(1))**(-Delta))**i - -M0 = (2**2.5 * asinh(1))**0.125 -B = Tc**2 * M0 / (16 * pi) -C0 = 0.0255369719 -A = pi / 2 * C0 / (B**2) - -n = 1 -c(i) = i == 1 ? 0.00856277 : 0 -lamb = 10.487 -A2 = 1.70034 -B2 = B - -n2 = 5 -c2(i) = i == 1 ? 0.00639522 : \ - i == 2 ? 0.00143461 : \ - i == 3 ? -0.206879 : \ - i == 4 ? 4.39278 : \ - i == 5 ? -56.1389 : 0 -lamb2 = 13.2489 -A3 = 1.91747 -B3 = B - -susfunc = "figs/fig-sus_scaling-func.dat" -susfuncm = "figs/fig-sus_scaling-func-mod.dat" -magfunc = "figs/fig-mag_scaling-func.dat" -magfuncm = "figs/fig-mag_scaling-func-mod.dat" - -num = "data/data_square-4096.dat" - -set samples 20000 -set key off - -set size 1,1 - 0.52 -set origin 0,0.52 -set xrange [-40:1200] -set yrange [-1:33] -set ylabel offset 1,0 '$T\chi|t|^{\gamma}\times 10^3$' -set lmargin 6 -set xtics format '' -set mxtics 5 -set mytics 5 -set bmargin 0.2 - -plot \ - num using (X($2, $3)):(10**3 * Tc * $10 * t($2)**gamma):(10**3 * Tc * $11 * t($2)**gamma) with yerrorbars pt 0 lc black, \ - susfunc using (10**$1 / B):(10**(3+$2) * A * B**2) with linespoints pt 0 lw 3 lc rgb cc1 dt 1, \ - susfuncm using 1:(10**3 * $2) with lines lw 3 lc rgb cc2 dt 2, \ - -10**3 * (sum[i=1:7] GC(i + 1) * i * (i + 1) * (x)**(i-1)) with lines lw 3 lc rgb cc3 dt 3 - -set bmargin -1 -set tmargin 0.2 -set size 1,0.52 -set origin 0,0 -set yrange [1.18:1.74] -set ylabel offset 1,0 '$M|t|^{-\beta}$' -set xlabel '$h|t|^{-\beta\delta}$' -set xtics format '%g' - -plot \ - num using (X($2, $3)):($6 * t($2)**(-beta)):($7 * t($2)**(-beta)) with yerrorbars pt 0 lc black, \ - magfunc using (10**$1 / B):(M0 + 10**($2) * A * B) with linespoints pt 0 lw 3 lc rgb cc1 dt 1, \ - magfuncm using 1:2 with lines lw 3 lc rgb cc2 dt 2, \ - -sum[i=1:8] GC(i) * i * x**(i-1) with lines lw 3 lc rgb cc3 dt 3 - -set logscale xy -set tmargin -1 -set lmargin -1 -set size 0.7,0.325 -set origin 0.26,0.5 + 0.29 / 2 -set xrange [0.0015:1900] -set yrange [0.00002:0.08] -set ylabel offset 4,0 '\footnotesize$T\chi|t|^\gamma$' -set xlabel offset 0,0.5 '\footnotesize$h|t|^{-\beta\delta}$' -set mxtics 5 -#set xtics format '' -2,10,1000 -set xtics add ('$\footnotesize10^{-2}$' 10**(-2), "" 0.1, '$\footnotesize10^0$' 1, "" 10, '$\footnotesize10^2$' 100, "" 1000) -set mytics 5 -#set ytics format '\footnotesize$10^{%T}$' 0.00001,10,0.01 -set ytics add ('$\footnotesize10^{-4}$' 10**(-4), '$\footnotesize10^{-3}$' 10**(-3), '$\footnotesize10^{-2}$' 10**(-2)) - -plot \ - num using (X($2, $3)):(Tc * $10 * t($2)**gamma):(Tc * $11 * t($2)**gamma) with yerrorbars pt 0 lc black, \ - susfunc using (10**$1 / B):(10**$2 * A * B**2) with linespoints pt 0 lw 3 lc rgb cc1 dt 1, \ - susfuncm using 1:2 with lines lw 3 lc rgb cc2 dt 2, \ - -sum[i=2:8] GC(i) * i * (i-1) * x**(i-2) with lines dt 3 lw 3 lc rgb cc3 - -unset logscale xy -set logscale x -set size 0.65,0.325 -set origin 0.31,0.23 / 2 -set yrange [1.18:1.74] -set ylabel offset 4,0 '\footnotesize$M|t|^{-\beta}$' -set ytics format '\footnotesize {%g}' 1.2,0.2,1.8 -set mytics 5 - -plot \ - num using (X($2, $3)):($6 * t($2)**(-beta)):($7 * t($2)**(-beta)) with yerrorbars pt 0 lc black, \ - magfunc using (10**$1 / B):(M0 + A * B * 10**$2) with linespoints pt 0 lw 3 lc rgb cc1 dt 1, \ - magfuncm using 1:2 with lines lw 3 lc rgb cc2 dt 2, \ - -sum[i=1:8] GC(i) * i * x**(i-1) with lines lw 3 lc rgb cc3 dt 3 - diff --git a/makefile b/makefile deleted file mode 100644 index a04aaa6..0000000 --- a/makefile +++ /dev/null @@ -1,21 +0,0 @@ - -DOC=essential-ising -FIGS=fig-susmag fig-series -DATA=data_square-4096 -FUNCS=fig-mag_scaling-func fig-sus_scaling-func fig-series-data - -all: ${DOC}.pdf - -%.tex: figs/%.gplot ${DATA:%=data/%.dat} ${FUNCS:%=figs/%.dat} - gnuplot $< > $@ - -${DOC}.pdf: ${DOC}.tex ${DOC}.bib ${FIGS:%=%.tex} - rubber $(DOC).tex - dvipdf $(DOC).dvi - -clean: - rubber --clean $(DOC) - rm -f $(DOC).pdf - rm -f $(DOC)Notes.bib - rm -f ${FIGS:%=%.tex} - diff --git a/refs/PhysRevB.40.9006.pdf b/refs/PhysRevB.40.9006.pdf Binary files differdeleted file mode 100644 index d455145..0000000 --- a/refs/PhysRevB.40.9006.pdf +++ /dev/null |