The exact solution of an elimination problem in kinetic theory

J.W. Evans

Physica A: Statistical Mechanics and its Applications, 1980, vol. 102, issue 1, 87-104

Abstract: A class of initial value problems for a one-dimensional hard sphere gas is considered where a specified particle has a given distribution f(1)(z1; 0) and the rest are in equilibrium at t=0. An exact expansion is obtained for a certain n-particle reduced distribution function f(n)(z1;…;zn; t) in terms of the 1-particle reduced distribution function f(1)(z1; t) for the specified particle by starting with separate expressions for these functions in terms of f(1)(z1; 0). Expansions for the corresponding cluster functions are first obtained and then graph theoretic methods applied to obtain a solution.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:102:y:1980:i:1:p:87-104

DOI: 10.1016/0378-4371(80)90062-X

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