The exact solution of an elimination problem in kinetic theory

J.W. Evans

Physica A: Statistical Mechanics and its Applications, 1980, vol. 104, issue 1, 48-70

Abstract: A class of initial value problems is considered where a specified particle has a given distribution ƒ(1)(z1;0) and the rest are in equilibrium at t=0. A formally exact expansion is obtained for a certain n-particle reduced distribution-function ƒ(1)(z1, z2, …, zn;t) in terms of the one-particle reduced distribution-function ƒ(1)(z1;t) for the specified particle at time t. We start with separate expansions for these functions in terms of ƒ(1)(z1; 0) and use direct inversion and combinatorial procedures to obtain a convenient representation of the general term in the resulting expansion.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:104:y:1980:i:1:p:48-70

DOI: 10.1016/0378-4371(80)90073-4

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