Results 281 to 290 of about 147,800 (333)

Statistical mechanics of classical systems

Soviet Physics Journal, 1980
An algebra of thermodynamic operators of the fluctuations of physical quantities in classical statistical mechanics is found and its properties studied. A method is proposed for obtaining equations that describe the equilibrium and nonequilibrium statistical ensembles of classical systems.
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Classical Statistical Mechanics

2015
According to classical mechanics, equations of motion supplemented by initial conditions uniquely determine the subsequent evolution of a given system. For typical systems of our interest, however, the number of mechanical degrees of freedom is of the order of 1024. One cannot possibly write down 1024 equations of motion, much less solve them.
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Statistical methods in classical mechanics

Reports on Mathematical Physics, 1975
Abstract 1. Contents 2. Introduction 3. I. Hopf's equations for the finite number degrees of freedom. 4. II. The probabilistic interpretation of Hopf's equations, characteristic functions. 5. III. Generalized characteristic functions and integrals of motion (IM). 6. IV. Integrals of motions and particular solutions. 7. V.
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Breakdown of the soliton-gas phenomenology for the classical statistical mechanics of the sine-Gordon model

, 1990
It is shown that the soliton-gas phenomenology breaks down for the classical statistical mechanics of the sine-Gordon model. As a main cause of the breakdown, it is pointed out that the solitons and breathers in the gas phenomenology do not precisely ...
S. Chung
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A new form of the Mayer expansion in classical statistical mechanics

, 1978
New expressions are given for the expansion coefficients in the Mayer expansion (and thus the virial expansion). These promise to be useful in applications, as well as provide a simple rigorous proof of the convergence of the Mayer series and some of its
D. Brydges, P. Federbush
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Classical Statistical Mechanics

1999
Statistical mechanics poses the problem of deducing macroscopic properties of matter from the atomic hypothesis. According to the hypothesis matter consists of atoms or molecules that move subject to the laws of classical mechanics or of quantum mechanics.
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Classical Statistical Mechanics

2003
Some aspects of statistical mechanics that are particularly important for computer simulation approaches are recalled. Using Ising and classical Heisenberg models as examples, various statistical ensembles and appropriate thermodynamic potentials are introduced, and concepts such as Legendre transformations between ensembles and the thermodynamic ...
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Ensembles in Classical Statistical Mechanics

2012
This chapter explores more powerful methods of calculation than were seen previously. Among them are Molecular Dynamics (MD) and Monte Carlo (MC) computer simulations. Another is the canonical partition function, which is related to the Helmholtz free energy.
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DERIVATION OF THE BLACKBODY RADIATION SPECTRUM BY CLASSICAL STATISTICAL MECHANICS.

, 1971
It is assumed that the fluctuating radiation energy density in a blackbody cavity is the sum of two stochastically independent terms: a zero-point energy density ${\ensuremath{\rho}}_{0}$ with Lorentz-invariant spectrum which persists at the absolute ...
O. Theimer
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On the isoenthalpic-isobaric ensemble in classical statistical mechanics

, 1980
Generalized ensemble theory is used to develop several fundamental formulae which describe the isoenthalpic-isobaric ensemble of classical statistical mechanics.
J. Haile, H. Graben
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