Аннотация:
Разработан метод построения фазовых диаграмм для большого числа
классических решетчатых систем. Для этих систем получено описание
устойчивых термодинамических фаз в терминах контурных моделей.
Общая теория применена к исследованию спонтанного нарушения симметрии
и к построению фазовых диаграмм ряда конкретных решетчатых
систем.
Образец цитирования:
С. А. Пирогов, Я. Г. Синай, “Фазовые диаграммы классических решетчатых систем”, ТМФ, 25:3 (1975), 358–369; Theoret. and Math. Phys., 25:3 (1975), 1185–1192
Эта публикация цитируется в следующих 192 статьяx:
Tom Kennedy, Slava Rychkov, “Tensor Renormalization Group at Low Temperatures: Discontinuity Fixed Point”, Ann. Henri Poincaré, 25:1 (2024), 773
Tadahiro Miyao, “Stability of Charge Density Waves in Electron–Phonon Systems”, J Stat Phys, 191:3 (2024)
M. M. Rahmatullaev, M. A. Rasulova, “Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree”, Lobachevskii J Math, 45:1 (2024), 518
Qidong He, Ian Jauslin, “High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint”, J Stat Phys, 191:10 (2024)
A. Mazel, I. Stuhl, Y. Suhov, “The Pirogov–Sinai Theory for Infinite Interactions”, J Stat Phys, 191:12 (2024)
Muzaffar M. Rahmatullaev, Bunyod U. Abraev, “Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree”, Lobachevskii J Math, 45:11 (2024), 5888
Ron Peled, Yinon Spinka, “Rigidity of proper colorings of Zd”, Invent. math., 232:1 (2023), 79
Christian Borgs, Jennifer Chayes, Tyler Helmuth, Will Perkins, Prasad Tetali, “Efficient sampling and counting algorithms for the Potts model on ℤd at all temperatures”, Random Struct Algorithms, 63:1 (2023), 130
Tyler Helmuth, Matthew Jenssen, Will Perkins, “Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs”, Ann. Inst. H. Poincaré Probab. Statist., 59:2 (2023)
Muzaffar M. Rahmatullaev, Muhayyo A. Rasulova, Javohir N. Asqarov, “Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree”, J Stat Phys, 190:7 (2023)
Farrukh Mukhamedov, Muzaffar M. Rahmatullaev, Dilshodbek O. EgAMOV, “Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree”, Reports on Mathematical Physics, 91:3 (2023), 379
H. Akιn, “Phase diagrams of lattice models on Cayley tree and chandelier network: a review”, Condens. Matter Phys., 25:3 (2022), 32501
Chao Liao, Jiabao Lin, Pinyan Lu, Zhenyu Mao, “An FPTAS for the hardcore model on random regular bipartite graphs”, Theoretical Computer Science, 929 (2022), 174
Barry Simon, “Twelve tales in mathematical physics: An expanded Heineman prize lecture”, Journal of Mathematical Physics, 63:2 (2022)
Haydarov F.H., “New Condition on Uniqueness of Gibbs Measure For Models With Uncountable Set of Spin Values on a Cayley Tree”, Math. Phys. Anal. Geom., 24:4 (2021), 31
Sebastián Barbieri, Ricardo Gómez, Brian Marcus, Tom Meyerovitch, Siamak Taati, “Gibbsian Representations of Continuous Specifications: The Theorems of Kozlov and Sullivan Revisited”, Commun. Math. Phys., 382:2 (2021), 1111
Ю. Х. Эшкабилов, Г. И. Ботиров, Ф. Х. Хайдаров, “Фазовые переходы в моделях с непрерывным множеством значений спина на решетке Бете”, ТМФ, 205:1 (2020), 146–155; Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov, “Phase transitions for models with a continuum set of spin values on
a Bethe lattice”, Theoret. and Math. Phys., 205:1 (2020), 1372–1380
Matthew Jenssen, Peter Keevash, Will Perkins, “Algorithms for #BIS-Hard Problems on Expander Graphs”, SIAM J. Comput., 49:4 (2020), 681
Christian Borgs, Jennifer Chayes, Tyler Helmuth, Will Perkins, Prasad Tetali, Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing, 2020, 738
Цитирование в формате AMSBIB
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