A completely solvable model of the nonlinear Boltzmann equation

Th.W. Ruijgrok and Tai Tsun Wu

Physica A: Statistical Mechanics and its Applications, 1982, vol. 113, issue 3, 401-416

Abstract: In one space and one time dimension, a model of the nonlinear Boltzmann equation is presented that is exactly solvable for all initial conditions. Furthermore, this model has the following desirable properties: (i) conservation of the number of particles; (ii) energy conservation; (iii) nonlinearity; (iv) positivity of distribution functions; and (v) unique equilibrium state (for any given density) which is approached as t → ∞ for most physically interesting initial conditions. Some of the simple properties of this model are studied.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:113:y:1982:i:3:p:401-416

DOI: 10.1016/0378-4371(82)90147-9

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