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Compendium of the foundations of classical statistical physics

Uffink, Jos (2006) Compendium of the foundations of classical statistical physics. [Preprint]

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Abstract

Roughly speaking, classical statistical physics is the branch of theoretical physics that aims to account for the thermal behaviour of macroscopic bodies in terms of a classical mechanical model of their microscopic constituents, with the help of probabilistic assumptions. In the last century and a half, a fair number of approaches have been developed to meet this aim. This study of their foundations assesses their coherence and analyzes the motivations for their basic assumptions, and the interpretations of their central concepts. The most outstanding foundational problems are the explanation of time-asymmetry in thermal behaviour, the relative autonomy of thermal phenomena from their microscopic underpinning, and the meaning of probability. A more or less historic survey is given of the work of Maxwell, Boltzmann and Gibbs in statistical physics, and the problems and objections to which their work gave rise. Next, we review some modern approaches to (i) equilibrium statistical mechanics, such as ergodic theory and the theory of the thermodynamic limit; and to (ii) non-equilibrium statistical mechanics as provided by Lanford's work on the Boltzmann equation, the so-called Bogolyubov-Born-Green-Kirkwood-Yvon approach, and stochastic approaches such as `coarse-graining' and the `open systems' approach. In all cases, we focus on the subtle interplay between probabilistic assumptions, dynamical assumptions, initial conditions and other ingredients used in these approaches.


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Item Type: Preprint
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Uffink, Jos
Additional Information: Chapter for "Handbook for Philsophy of Physics", J. Butterfield and J. Earman (eds) to appear.
Keywords: Statistical mechanics, kinetic gas theory, thermodynamics, entropy, probability, irreversibility
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Jos Uffink
Date Deposited: 01 Apr 2006
Last Modified: 07 Oct 2010 15:14
Item ID: 2691
URI: http://philsci-archive.pitt.edu/id/eprint/2691

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