scholarly journals Nonstandard analysis and lattice statistical mechanics: a variational principle

1981 ◽  
Vol 263 (1) ◽  
pp. 89-89 ◽  
Author(s):  
A. E. Hurd
Keyword(s):  
Variational Principle ◽  
Statistical Mechanics ◽  
Nonstandard Analysis ◽  
Lattice Statistical Mechanics

scholarly journals Communication: Maximum caliber is a general variational principle for nonequilibrium statistical mechanics

2015 ◽  
Vol 143 (5) ◽  
pp. 051104 ◽  
Author(s):  
Michael J. Hazoglou ◽  
Valentin Walther ◽  
Purushottam D. Dixit ◽  
Ken A. Dill
Keyword(s):  
Variational Principle ◽  
Statistical Mechanics ◽  
Nonequilibrium Statistical Mechanics

STATISTIC MECHANICS FOR LINEAR DEFECT-MEDIATED MELTING

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2640-2644
Author(s):  
KEJIA LIU ◽  
HUIFEN CHEN
Keyword(s):  
Phase Transition ◽  
Shear Modulus ◽  
Statistical Mechanics ◽  
Melting Temperature ◽  
Latent Heat ◽  
Linear Defect ◽  
First Order ◽  
Linear Defects ◽  
Dislocation Pair ◽  
Lattice Statistical Mechanics

The melting of elemental solids is modelled as a dislocation pair-mediated transition on a lattice. Statistical mechanics of linear defects is used to obtain the relation between melting temperature and shear modulus. It is derived theoretically that the phase transition is the first order and the formula for latent heat is also derived.

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