Macroscopic behaviour of a charged Boltzmann gas

L. Bányai; P. Gartner; V. Protopopescu

doi:10.1016/0378-4371(81)90030-3

Macroscopic behaviour of a charged Boltzmann gas

L. Bányai, P. Gartner, V. Protopopescu

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3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	166-178
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	107
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(81)90030-3
State	Published - May 1981
Externally published	Yes

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10.1016/0378-4371(81)90030-3

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title = "Macroscopic behaviour of a charged Boltzmann gas",

abstract = "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.",

author = "L. B{\'a}nyai and P. Gartner and V. Protopopescu",

year = "1981",

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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 - https://www.scopus.com/pages/publications/49149137530

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 -

Macroscopic behaviour of a charged Boltzmann gas

Abstract

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