Results 211 to 220 of about 23,136 (260)
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Statistical origin of classical mechanics and quantum mechanics
Physical Review Letters, 1993Summary: The classical action for interacting strings, obtained by generalizing the time-symmetric electrodynamics of Wheeler and Feynman, is exactly additive. The additivity of the string action suggests a connection between the area of the string world sheets and entropy.
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Classical Statistical Mechanics
1999Statistical 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
2003Some 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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Statistical mechanics of classical systems
Soviet Physics Journal, 1980An 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
2015According 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, 1975Abstract 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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Ensembles in Classical Statistical Mechanics
2012This 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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Matrices in Classical Statistical Mechanics
1966The mathematics required for formulating the principles of classical statistical mechanics does not include matrices or abstract vectors. These concepts are, however, used in applications of the general theory to specific objects. An example is considered in this chapter; it concerns the thermal properties of mixed crystals.
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Equilibrium Classical Statistical Mechanics
1984Statistical mechanics deals, as a matter of fact, with probabilistic treatment of physical systems considered from the point of view of their mechanical properties. The denomination ‘Probabilistic Mechanics’ would, of course, be more pertinent to this discipline.
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