A variational principle in statistical mechanics for particle systems with bounded pair interactions

1975 ◽  
Vol 16 (2) ◽  
pp. 438 ◽  
Author(s):  
A. Gerardi
Keyword(s):  
Variational Principle ◽  
Statistical Mechanics ◽  
Particle Systems ◽  
Pair Interactions

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

scholarly journals Equilibrium cluster fluids: pair interactions via inverse design

Soft Matter ◽  
2015 ◽  
Vol 11 (48) ◽  
pp. 9342-9354 ◽  
Author(s):  
R. B. Jadrich ◽  
J. A. Bollinger ◽  
B. A. Lindquist ◽  
T. M. Truskett
Keyword(s):  
Statistical Mechanics ◽  
Inverse Methods ◽  
Inverse Design ◽  
Pair Interactions

Inverse methods of statistical mechanics are becoming productive tools in the design of materials with specific microstructures or properties.

scholarly journals THERMODYNAMIC LIMIT IN STATISTICAL PHYSICS

2014 ◽  
Vol 28 (09) ◽  
pp. 1430004 ◽  
Author(s):  
A. L. KUZEMSKY
Keyword(s):  
Statistical Mechanics ◽  
Thermodynamic Limit ◽  
Statistical Physics ◽  
Formal Series ◽  
Distribution Functions ◽  
Particle Systems ◽  
Boltzmann Equations ◽  
Qualitative Understanding ◽  
Statistical Ensembles ◽  
Equipartition Of Energy

The thermodynamic limit in statistical thermodynamics of many-particle systems is an important but often overlooked issue in the various applied studies of condensed matter physics. To settle this issue, we review tersely the past and present disposition of thermodynamic limiting procedure in the structure of the contemporary statistical mechanics and our current understanding of this problem. We pick out the ingenious approach by Bogoliubov, who developed a general formalism for establishing the limiting distribution functions in the form of formal series in powers of the density. In that study, he outlined the method of justification of the thermodynamic limit when he derived the generalized Boltzmann equations. To enrich and to weave our discussion, we take this opportunity to give a brief survey of the closely related problems, such as the equipartition of energy and the equivalence and nonequivalence of statistical ensembles. The validity of the equipartition of energy permits one to decide what are the boundaries of applicability of statistical mechanics. The major aim of this work is to provide a better qualitative understanding of the physical significance of the thermodynamic limit in modern statistical physics of the infinite and "small" many-particle systems.

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