TY - JOUR
T1 - Macroscopic behaviour of a charged Boltzmann gas
AU - Bányai, L.
AU - Gartner, P.
AU - Protopopescu, V.
PY - 1981/5
Y1 - 1981/5
N2 - We consider a classical charged gas (with self-consistent Coulomb interaction) described by a solvable linearized Boltzmann equation with thermalization on uniformly distributed scatterers. It is shown that if one scales the time t, the reciprocal space coordinate k and the Debye length l as λ2t, (1/λ)k, λl, respectively, in the λ → ∞ limit the charge density is equal to the solution of the corresponding diffusion-conduction (macroscopic) equation.
AB - We consider a classical charged gas (with self-consistent Coulomb interaction) described by a solvable linearized Boltzmann equation with thermalization on uniformly distributed scatterers. It is shown that if one scales the time t, the reciprocal space coordinate k and the Debye length l as λ2t, (1/λ)k, λl, respectively, in the λ → ∞ limit the charge density is equal to the solution of the corresponding diffusion-conduction (macroscopic) equation.
UR - http://www.scopus.com/inward/record.url?scp=49149137530&partnerID=8YFLogxK
U2 - 10.1016/0378-4371(81)90030-3
DO - 10.1016/0378-4371(81)90030-3
M3 - Article
AN - SCOPUS:49149137530
SN - 0378-4371
VL - 107
SP - 166
EP - 178
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -