A Bethe model for phase transitions in the hard sphere lattice gas

1979 ◽  
Vol 71 (1) ◽  
pp. 458-461 ◽  
Author(s):  
E. R. Cowley
1992 ◽  
Vol 96 (4) ◽  
pp. 1951-1956 ◽  
Author(s):  
M. M. Hurley ◽  
Sherwin J. Singer

1995 ◽  
Vol 80 (3-4) ◽  
pp. 499-515 ◽  
Author(s):  
Kevin E. Bassler ◽  
R. K. P. Zia

1984 ◽  
Vol 53 (8) ◽  
pp. 806-809 ◽  
Author(s):  
Henk van Beijeren ◽  
Lawrence S. Schulman

2009 ◽  
Vol 52 (3) ◽  
pp. 523-526 ◽  
Author(s):  
Li Li ◽  
Li Liang-Sheng ◽  
Chen Xiao-Song

2015 ◽  
Vol 4 (1) ◽  
pp. 1-27
Author(s):  
L´eon Brenig

This essay corresponds to the content of three lectures about statistical physics delivered to the audience of the 2014 section of the R. A. Salmeron School of Physics, at the UnB. Our starting point was very simple statistical models (lattice gas, spin-1/2 ferromagnet), used as illustrations of the competencies and methods in statistical physics. Thus we introduce the Gibbs ensembles, defining a connection with thermodynamics and discussing the role played by fluctuations and large numbers. We present phenomenological aspects of phase transitions and critical phenomena in simple fluids and in uniaxial ferromagnets, emphasizing the universal character of the critical exponents. We describe the phenomenological van der Waals and Curie-Weiss theories and the Landau expansion, which are present-day relevant methods, despite the fact that such theories give rise to critical exponents in disagreement with experiments. We present then the paradigmatic Ising model, which points us to a way to overcome the phenomenological results. A brief presentation of the scale phenomenological methods and the contemporaneous renormalization group are considered at the end of these lectures.


2021 ◽  
Vol 94 (6) ◽  
Author(s):  
Wei Liu ◽  
Zhengxin Yan ◽  
Gaoliang Zhou

1973 ◽  
Vol 58 (9) ◽  
pp. 3940-3941 ◽  
Author(s):  
Bert R. Riemenschneider ◽  
Dale A. Huckaby
Keyword(s):  

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