The Boltzmann-Lorentz model for particles with spin. I: Exact results
type: Item
instance of: scholarly article
title: The Boltzmann-Lorentz model for particles with spin. I: Exact results
zbMATH Open document ID: 0666.76099
DOI: 10.1016/0378-4371(86)90005-1
author: Marek Dudyński
published in: Physica A
publication date: 1986-01-01T00:00:00Z
review text: The simple kinetic model describing the propagation of particles with spin degrees of freedom through an array of magnetically active scatterers is introduced. The resulting Boltzmann-Lorentz nonlinear equation is solved for spatially homogeneous initial data. The spectral properties of the linearized operator are studied and the exact solution for arbitrary initial data is obtained. The various fluid dynamical limits are also considered.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 4091072
zbMATH Keywords: kinetic model
zbMATH Keywords: propagation of particles with spin
zbMATH Keywords: array of magnetically active scatterers
zbMATH Keywords: Boltzmann-Lorentz nonlinear equation
zbMATH Keywords: spectral properties
MaRDI profile type: Publication
full work available at URL: 0378-4371(86)90005-1
OpenAlex ID: W2007745593
cites work: General Hydrodynamic Equations from the Linear Boltzmann Equation
cites work: Exact and Chapman-Enskog Solutions of the Boltzmann Equation for the Lorentz Model
cites work: Q3260456
cites work: On the Navier-Stokes approximation to the linearized Boltzmann equation
cites work: Global solutions to the initial value problem for the nonlinear Boltzmann equation
cites work: On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
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description: scientific article; zbMATH DE number 4091072