A stochastic particle system associated with the spatially inhomogeneous Boltzmann equation
- 1 February 1994
- journal article
- research article
- Published by Taylor & Francis in Transport Theory and Statistical Physics
- Vol. 23 (4) , 455-477
- https://doi.org/10.1080/00411459408203874
Abstract
The spatially inhomogeneous Boltzmann equation with an external force and rather general boundary conditions is considered. The problem is studied of how a stochastic particle system should look in this general situation in order to reproduce a solution of the Boltzmann equation in the limit as the number of particles tends to infinity. A stochastic model is constructed that contains parameters allowing performance of asymmetric as well as fictitious collisions between the particles.Keywords
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