0392521 20240903115738.920130603235959.9 000314310700004 10.1103/PhysRevE.87.012136 5 s. P cav_un_epca*00217521539-375587American Physical Society Monte Carlo simulation two-dimensional lattices q-state Potts cav_un_auth*0272813 Huang Y. CN cav_un_auth*0291431 Chen K. CN Deng Y. CN cav_un_auth*0291432 Jacobsen J. L. FR cav_un_auth*0291433 Kotecký R. CZ cav_un_auth*0291434 Salas J. ES cav_un_auth*0291435 cav_un_auth*0291436 Sokal Alan D. US cav_un_auth*0217893 Swart Jan M. Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/SI/swart-two-dimensional potts antiferromagnets with a phase transition at arbitrarily large q.pdf GAP201/12/2613 GA ČR cav_un_auth*0291241 We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. This unexpected result is proven rigorously by using a Peierls argument to measure the entropic advantage of sublattice long-range order. Additional numerical data are obtained using transfer matrices, Monte Carlo simulation, and a high-precision graph-theoretic method. 2014 BE 8 RVO:67985556 http://hdl.handle.net/11104/0221521 PHYSICSFLUIDSPLASMAS|PHYSICSMATHEMATICAL 2.302 0.548 8.I 0.17934 0.889 78897 2503 1.127 ScienceCitationIndex Q1 59.234 81.290 Q2 Q3 2013 000314310700004 WOS cav_un_epca*0021752 Physical Review E 1539-3755 2470-0053 Roč. 87 Č. 1 2013 , 12136-1-12136-5 American Physical Society