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diff --git a/monte-carlo.bib b/monte-carlo.bib index 0ca69fb..6eb96d1 100644 --- a/monte-carlo.bib +++ b/monte-carlo.bib @@ -411,6 +411,22 @@ file = {APS Snapshot:/home/pants/.zotero/data/storage/Q5RL6Q8U/PhysRevE.58.html:text/html;Redner et al. - 1998 - Graphical representations and cluster algorithms f.pdf:/home/pants/.zotero/data/storage/WYEU9G6Y/Redner et al. - 1998 - Graphical representations and cluster algorithms f.pdf:application/pdf} } +@article{wolff_lattice_1988, + title = {Lattice field theory as a percolation process}, + volume = {60}, + url = {https://link.aps.org/doi/10.1103/PhysRevLett.60.1461}, + doi = {10.1103/PhysRevLett.60.1461}, + abstract = {For a given lattice spin or gauge theory an associated correlated bond or plaquette percolation process is constructed. It is conjectured to reproduce the universal scaling behavior of the original model. Different field theories lead to different cluster weights generalizing a result by Fortuin and Kasteleyn for Potts models. The new representation lends itself to the design of Monte Carlo algorithms with reduced critical slowing down.}, + number = {15}, + urldate = {2018-04-17}, + journal = {Physical Review Letters}, + author = {Wolff, Ulli}, + month = apr, + year = {1988}, + pages = {1461--1463}, + file = {APS Snapshot:/home/pants/.zotero/data/storage/EFPZ9VED/PhysRevLett.60.html:text/html;Wolff - 1988 - Lattice field theory as a percolation process.pdf:/home/pants/.zotero/data/storage/EBMJTQ4T/Wolff - 1988 - Lattice field theory as a percolation process.pdf:application/pdf} +} + @article{guida_critical_1998, title = {Critical exponents of the {N} -vector model}, volume = {31}, @@ -428,6 +444,24 @@ file = {IOP Full Text PDF:/home/pants/.zotero/data/storage/K468APXL/Guida and Zinn-Justin - 1998 - Critical exponents of the N -vector model.pdf:application/pdf} } +@article{fortuin_random-cluster_1972, + title = {On the random-cluster model: {I}. {Introduction} and relation to other models}, + volume = {57}, + issn = {0031-8914}, + shorttitle = {On the random-cluster model}, + url = {http://www.sciencedirect.com/science/article/pii/0031891472900456}, + doi = {10.1016/0031-8914(72)90045-6}, + abstract = {The random-cluster model is defined as a model for phase transitions and other phenomena in lattice systems, or more generally in systems with a graph structure. The model is characterized by a (probability) measure on a graph and a real parameter κ. By specifying the value of κ to 1, 2, 3, 4, … is shown that the model covers the percolation model, the Ising model, the Ashkin-Teller-Potts model with 3, 4, … states per atom, respectively, and thereby, contains information on graph-colouring problems; in the limit κ ↓ 0 it describes linear resistance networks. It is shown that the function which for the random-cluster model plays the role of a partition function, is a generalization of the dichromatic polynomial earlier introduced by Tutte, and related polynomials.}, + number = {4}, + urldate = {2018-04-20}, + journal = {Physica}, + author = {Fortuin, C. M. and Kasteleyn, P. W.}, + month = feb, + year = {1972}, + pages = {536--564}, + file = {ScienceDirect Full Text PDF:/home/pants/.zotero/data/storage/463W5CMX/Fortuin and Kasteleyn - 1972 - On the random-cluster model I. Introduction and r.pdf:application/pdf;ScienceDirect Snapshot:/home/pants/.zotero/data/storage/EEHFQXUY/0031891472900456.html:text/html} +} + @article{stauffer_scaling_1979, title = {Scaling theory of percolation clusters}, volume = {54}, |