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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Springer US

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DOI

10.1007/bf03091462

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1572-9613

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Symmetry of the Linearized Boltzmann Equation and

Authors: Shigeru Takata
Publish Date: 2009/08/01
Volume: 136, Issue: 4, Pages: 751-784
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Abstract

A symmetric relation of macroscopic quantities between two different steady problems of the linearized Boltzmann equation is derived A few applications to halfspace problems are presented first Then for the gas in bounded or unbounded domains such that solid bodies or condensed phases are confined in a finite region general representations of the mass momentum and heat fluxes through the boundary possibly at a point on or on a part of it are derived from the symmetric relation linked to the separability of boundary data This result implies a reduction of the original problem to a single elemental problem in the same domain as far as the fluxes are concerned Many applications are also presented

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  2. Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model
  3. Random Birth-and-Death Networks
  4. Fourth Moment Sum Rule for the Charge Correlations of a Two-Component Classical Plasma
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  10. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  11. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
  12. Clustering of Fermionic Truncated Expectation Values Via Functional Integration
  13. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  14. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
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  17. The More the Merrier?
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