Soluble Boltzmann equations for internal state and Maxwell models

E.M. Hendriks, M.H. Ernst, E. Futcher and M.R. Hoare

Physica A: Statistical Mechanics and its Applications, 1980, vol. 101, issue 2, 375-388

Abstract: We continue our study of the nonlinear Boltzmann equation for “diffuse” binary scattering between subsystems in a microcanonical ensemble. Exact similarity solutions of Bobylev-Krook-Wu type are found for systems of arbitrary dimensionality and in both continuous and discrete state variables. Additional similarity solutions are also derivable as expansions in Laguerre or Meixner polynomials, the required Fourier coefficients following from algebraic recursion relations.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:101:y:1980:i:2:p:375-388

DOI: 10.1016/0378-4371(80)90183-1

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