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Classical Statistical Mechanics
1993Matter on the macroscopic scale always consists of a very large number of particles (atoms or molecules). The number of particles in the macroscopic volume element of a cubic meter or a liter is of the order of magnitude of 1023. It is self-evident that it makes no sense to try to write out and solve the equations of motion for this number of particles.
Josef Honerkamp, Hartmann Römer
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Classical Statistical Mechanics
2021This chapter focusses mainly upon the classical mechanical evaluation of the partition function for a gas of structureless atoms, and begins with a discussion of energy equipartition. The role of interatomic interactions is examined using the grand partition function, as it enables a more convenient separation of the roles played by kinetic and ...
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States of Classical Statistical Mechanics
Journal of Mathematical Physics, 1967A state of an infinite system in classical statistical mechanics is usually described by its correlation functions. We discuss here other descriptions in particular: as (1) a state on a B* algebra; (2) a collection of density distributions; (3) a field theory; (4) a measure on a ``space of configurations of infinitely many particles.'' We consider the ...
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Measurement in quantum mechanics and classical statistical mechanics
Physics Letters A, 1992Abstract It is shown that the uncertainties (ΔP)2 and (ΔQ)2 in momentum and positiion of a quantum particle can always be expressed as the sum of a classical term and a quantum term. For quantum states characterized by a product ΔPΔQ〉h it is always possible to reduce the uncertainty in both P and Q by performing measurements of both of them with ...
Cini M, SERVA, Maurizio
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Classical Statistical Mechanics
1981Statistical mechanics is the bridge between molecular science and continuum mechanics. The input to statistical mechanics is a force law between particles. The particles can be atoms in a crystal, molecules in a gas or liquid, electrons in a plasma, amino acid units in a protein, elementary constituents in a complex polymer, etc.
James Glimm, Arthur Jaffe
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Classical statistical mechanics in the grand canonical ensemble
Physical Review E, 2021The methodology developed by Lustig for calculating thermodynamic properties in the microcanonical and canonical ensembles [J. Chem. Phys. 100, 3048 (1994)JCPSA60021-960610.1063/1.466446; Mol. Phys. 110, 3041 (2012)MOPHAM0026-897610.1080/00268976.2012.695032] is applied to derive rigorous expressions for thermodynamic properties of fluids in the grand ...
Philipp Ströker, Karsten Meier
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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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