Critical temperatures of continuous spin models and the free energy of a polymer

1975 ◽  
Vol 63 (11) ◽  
pp. 4941-4946 ◽  
Author(s):  
Paul R. Gerber ◽  
Michael E. Fisher
Keyword(s):  
Free Energy ◽  
Critical Temperatures ◽  
Continuous Spin ◽  
Spin Models

scholarly journals Continuous spin models on annealed generalized random graphs

2017 ◽  
Vol 127 (11) ◽  
pp. 3719-3753 ◽  
Author(s):  
S. Dommers ◽  
C. Külske ◽  
P. Schriever
Keyword(s):  
Random Graphs ◽  
Continuous Spin ◽  
Spin Models

scholarly journals Critical and co-operative phenomena. V. Specific heats of solids and liquids

1940 ◽  
Vol 174 (956) ◽  
pp. 102-109 ◽  
Keyword(s):  
Free Energy ◽  
Thermal Expansion ◽  
Quantum Effects ◽  
Dense Gas ◽  
Critical Temperatures ◽  
Simple Method ◽  
Specific Heats ◽  
Lennard Jones ◽  
Boiling Points ◽  
Satisfactory Theory

In the first two papers in this series (Lennard-Jones and Devonshire 1937-8) we developed a simple method of calculating the free energy of a dense gas or a liquid in terms of interatomic forces. We used this to calculate critical temperatures and also vapour pressures and boiling-points. In later papers (Lennard-Jones and Devonshire 1939) we showed that the model used in the earlier papers was more appropriate to a solid than to a liquid, and that to obtain a satisfactory theory for a liquid we must modify it by introducing the concept of disorder. In this way we were able to account satisfactorily for the phenomenon of melting. In this paper we propose to use the expression for the free energy obtained in the earlier papers to calculate the specific heats of solids and liquids, and also the coefficients of thermal expansion and compressibilities. As before, we confine ourselves to the case when quantum effects are negligible.

Spin-wave singularities: Free energy and equation of state inO(n) spin models nearTc

1990 ◽  
Vol 42 (16) ◽  
pp. 10505-10522 ◽  
Author(s):  
Peter B. Weichman ◽  
Kihong Kim
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Spin Wave ◽  
Spin Models

scholarly journals Event-chain Monte Carlo for classical continuous spin models

2015 ◽  
Vol 112 (2) ◽  
pp. 20003 ◽  
Author(s):  
Manon Michel ◽  
Johannes Mayer ◽  
Werner Krauth
Keyword(s):  
Monte Carlo ◽  
Continuous Spin ◽  
Spin Models
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