First order phase transitions and tunnelling with an application to the two-dimensional Potts model

1991 ◽  
Vol 265 (1-2) ◽  
pp. 146-152
Author(s):  
Roger Horsley
2010 ◽  
Vol 508 (5) ◽  
pp. 446-452 ◽  
Author(s):  
D. H. E. Gross ◽  
A. Ecker ◽  
X. Z. Zhang

1952 ◽  
Vol 5 (2) ◽  
pp. 288
Author(s):  
RG Wylie

Hysteresis phenomena associated with the adsorption of gases on solid surfaces are usually explained in terms of three-dimensional capillary effects or with more or less unspecific reference to phase transitions. It is shown that hysteresis effects are to be expected when two dimensional phase transitions occur on solids. In the connection, the thermodynamic equation governing the equilibrium of small, incompressible two-dimensional phases is derived. Such phases can form on an imperfect solid surface in an irreversible manner and, as calculation shows, can contribute significantly to the hysteresis of adsorption. In some cases the phase change may be responsible for the whole effect. The diffuseness of first-order phase transitions may be due to the same mechanism.


1993 ◽  
Vol 47 (17) ◽  
pp. 11563-11566 ◽  
Author(s):  
Werner Kerler ◽  
Andreas Weber

1979 ◽  
Vol 50 (B11) ◽  
pp. 7382 ◽  
Author(s):  
H. W. J. Blöte ◽  
R. H. Swendsen

2015 ◽  
Vol 233-234 ◽  
pp. 79-81 ◽  
Author(s):  
A.B. Babaev ◽  
A.K. Murtazaev ◽  
Rashid A. Murtazaliev

An influence of quenched nonmagnetic disorder on the phase transitions in the two dimensional antiferromagnetic Potts model with a number of spin state q=3 on a triangular lattice is calculated by the Monte-Carlo method. The systems with linear sizes L=20÷144 at spin concentrations p=1.00, 0.90, 0.80 are studied. By means of the fourth order Binder cumulant method, the inclusion of a quenched disorder as nonmagnetic impurities into a pure antiferromagnetic Potts model is shown to be the cause of the change of the first order phase transition into the second one.


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