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The Boltzmann–Grad limit for a particle system in a slab with stochastic walls
Author(s) -
Caprino S.,
Zavelani B.
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19981125)21:17<1543::aid-mma7>3.0.co;2-l
Subject(s) - boltzmann equation , slab , limit (mathematics) , boltzmann constant , particle system , lattice boltzmann methods , mathematics , statistical physics , particle (ecology) , boundary value problem , direct simulation monte carlo , mathematical analysis , mathematical physics , physics , mechanics , thermodynamics , monte carlo method , geology , statistics , oceanography , dynamic monte carlo method , geophysics , computer science , operating system
It is shown that a stochastic system of N interacting particles in a slab approximates, in the Boltzmann–Grad limit, a one‐dimensional Boltzmann equation with diffusive boundary conditions. © 1998 B. G. Teubner Stuttgart–John Wiley & Sons, Ltd.