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authorJaron Kent-Dobias <jaron@kent-dobias.com>2018-09-25 00:04:10 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2018-09-25 00:04:10 -0400
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@@ -562,4 +562,68 @@ random field Ising model and finally of quantum spin glasses.},
keywords = {Autocorrelation time, Cluster algorithm, Dynamic critical exponent, Ising model, Monte Carlo, Potts model, Swendsen–Wang algorithm},
pages = {259--291},
file = {ScienceDirect Full Text PDF:/home/pants/.zotero/data/storage/MKA8WYZZ/Ossola and Sokal - 2004 - Dynamic critical behavior of the Swendsen–Wang alg.pdf:application/pdf;ScienceDirect Snapshot:/home/pants/.zotero/data/storage/YHGX7CDT/S0550321304003098.html:text/html}
+}
+
+@article{ala-nissila_numerical_1994,
+ title = {Numerical studies of the two-dimensional {XY} model with symmetry-breaking fields},
+ volume = {50},
+ url = {https://link.aps.org/doi/10.1103/PhysRevB.50.12692},
+ doi = {10.1103/PhysRevB.50.12692},
+ abstract = {We present results of numerical studies of the two-dimensional XY model with four- and eightfold symmetry-breaking fields. This model has recently been shown to describe hydrogen-induced reconstruction on the W(100) surface. Based on mean-field and renormalization-group arguments, we first show how the interplay between the anisotropy fields can give rise to different phase transitions in the model. When the fields are compatible with each other there is a continuous phase transition when the fourth-order field is varied from negative to positive values. This transition becomes discontinuous at low temperatures. These two regimes are separated by a multicritical point. In the case of competing four- and eightfold fields, the first-order transition at low temperatures opens up into two Ising transitions. We then use numerical methods to accurately locate the position of the multicritical point, and to verify the nature of the transitions. The different techniques used include Monte Carlo histogram methods combined with finite-size scaling analysis, the real-space Monte Carlo renormalization-group method, and the Monte Carlo transfer-matrix method. Our numerical results are in good agreement with the theoretical arguments.},
+ number = {17},
+ urldate = {2018-09-25},
+ journal = {Physical Review B},
+ author = {Ala-Nissila, T. and Granato, E. and Kankaala, K. and Kosterlitz, J. M. and Ying, S.-C.},
+ month = nov,
+ year = {1994},
+ pages = {12692--12701},
+ file = {Ala-Nissila et al. - 1994 - Numerical studies of the two-dimensional XY model .pdf:/home/pants/.zotero/data/storage/2C3RYCHG/Ala-Nissila et al. - 1994 - Numerical studies of the two-dimensional XY model .pdf:application/pdf;APS Snapshot:/home/pants/.zotero/data/storage/YU2G86C5/PhysRevB.50.html:text/html}
+}
+
+@article{kankaala_theory_1993,
+ title = {Theory of adsorbate-induced surface reconstruction on {W}(100)},
+ volume = {47},
+ url = {https://link.aps.org/doi/10.1103/PhysRevB.47.2333},
+ doi = {10.1103/PhysRevB.47.2333},
+ abstract = {We report results of a theoretical study on an adsorbate-induced surface reconstruction. Hydrogen adsorption on a W(100) surface causes a switching transition in the symmetry of the displacements of the W atoms within the ordered c(2×2) phase. This transition is modeled by an effective Hamiltonian, where the hydrogen degrees of freedom are integrated out. Based on extensive Monte Carlo renormalization-group calculations we show that the switching transition is of second order at high temperatures and of first order at low temperatures. This behavior is qualitatively explained in terms of an XY model where there is an interplay between fourfold and eightfold anisotropy fields. We also compare the calculated phase diagrams with a simple mean-field theory.},
+ number = {4},
+ urldate = {2018-09-25},
+ journal = {Physical Review B},
+ author = {Kankaala, Kari and Ala-Nissila, Tapio and Ying, See-Chen},
+ month = jan,
+ year = {1993},
+ pages = {2333--2343},
+ file = {APS Snapshot:/home/pants/.zotero/data/storage/EQCT6K8H/PhysRevB.47.html:text/html;Kankaala et al. - 1993 - Theory of adsorbate-induced surface reconstruction.pdf:/home/pants/.zotero/data/storage/8DGX9H9Y/Kankaala et al. - 1993 - Theory of adsorbate-induced surface reconstruction.pdf:application/pdf}
+}
+
+@article{selinger_theory_1988,
+ title = {Theory of {Hexatic}-to-{Hexatic} {Transitions}},
+ volume = {61},
+ url = {https://link.aps.org/doi/10.1103/PhysRevLett.61.416},
+ doi = {10.1103/PhysRevLett.61.416},
+ abstract = {A theory of transitions between tilted hexatic-I and -F phases in liquid-crystal films is developed. A renormalization-group analysis leads to four tilted hexatic phases: the hexatic-I and -F phases, an intermediate hexatic-L phase, and an unlocked phase. All these phases except the unlocked phase also exist if the films are crystalline rather than hexatic. These results are consistent with recent experiments on thermotropic and lyotropic liquid crystals.},
+ number = {4},
+ urldate = {2018-09-25},
+ journal = {Physical Review Letters},
+ author = {Selinger, Jonathan V. and Nelson, David R.},
+ month = jul,
+ year = {1988},
+ pages = {416--419},
+ file = {APS Snapshot:/home/pants/.zotero/data/storage/59CAGAAM/PhysRevLett.61.html:text/html;Selinger and Nelson - 1988 - Theory of Hexatic-to-Hexatic Transitions.pdf:/home/pants/.zotero/data/storage/EHI5X23X/Selinger and Nelson - 1988 - Theory of Hexatic-to-Hexatic Transitions.pdf:application/pdf}
+}
+
+@article{dierker_consequences_1986,
+ title = {Consequences of {Bond}-{Orientational} {Order} on the {Macroscopic} {Orientation} {Patterns} of {Thin} {Tilted} {Hexatic} {Liquid}-{Crystal} {Films}},
+ volume = {56},
+ url = {https://link.aps.org/doi/10.1103/PhysRevLett.56.1819},
+ doi = {10.1103/PhysRevLett.56.1819},
+ abstract = {By use of depolarized laser relection microscopy, unique textural defects have been observed in thin tilted hexatic liquid-crystal films which result from their bond-orientational order. The temperature dependence of the bond-orientational elasticity can be deduced from these textural patterns and is in qualitative agreement with the theory of two-dimensional melting. The effects of molecular chirality and film thickness on the defect textures is also reported along with observations on the polygonization of the two-dimensional crystalline phase.},
+ number = {17},
+ urldate = {2018-09-25},
+ journal = {Physical Review Letters},
+ author = {Dierker, S. B. and Pindak, R. and Meyer, R. B.},
+ month = apr,
+ year = {1986},
+ pages = {1819--1822},
+ file = {APS Snapshot:/home/pants/.zotero/data/storage/A8T7IR63/PhysRevLett.56.html:text/html;Dierker et al. - 1986 - Consequences of Bond-Orientational Order on the Ma.pdf:/home/pants/.zotero/data/storage/9XEH86XP/Dierker et al. - 1986 - Consequences of Bond-Orientational Order on the Ma.pdf:application/pdf}
} \ No newline at end of file