An Introduction to the Theory of the Boltzmann Equation

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Courier Corporation, 1 gen 2004 - 221 pagine

Boltzmann's equation (or Boltzmann-like equations) appears extensively in such disparate fields as laser scattering, solid-state physics, nuclear transport, and beyond the conventional boundaries of physics and engineering, in the fields of cellular proliferation and automobile traffic flow. This introductory graduate-level course for students of physics and engineering offers detailed presentations of the basic modern theory of Boltzmann’s equation, including representative applications using both Boltzmann’s equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory, and it represents a practical resource for researchers and other professionals. The problems following each chapter are intended as learning examples, and they frequently extend and generalize the text material. Additional editorial features include a historical introduction, references, and subject and author indexes. 1971 edition.

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Sommario

statistical mechanical preliminaries
1
contraction of the statistical mechanical description
13
description of binary collisions
31
properties of the collision term
53
the H theorem and irreversibility
67
normal solutions of the boltzmann equation
79
moment method solutions
103
model boltzmann equations
121
solutions of special problems
131
gas mixtures
161
generalized boltzmann equations
177
comparison of theory with experiment
195
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