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The Boltzmann-Lorentz model for particles with spin

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  • Dudyński, Marek

Abstract

The Grad method of moments is applied in order to find the approximate solution to the linearized Boltzmann-Lorentz model for particles with spin. The hyperbolic equations of hydrodynamics annd generalized hydrodynamics are obtained and regions of validity of these equations are explicitly stated. Closed relations with projection-operator techniques are discussed showing that the Grad method is a version of a perturbation expansion in small space gradients. The transition to the parabolic equations of conventional hydrodynamics in the fluid dynamical limit is studied in detail.

Suggested Citation

  • Dudyński, Marek, 1988. "The Boltzmann-Lorentz model for particles with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 254-272.
    • Handle: RePEc:eee:phsmap:v:152:y:1988:i:1:p:254-272
    DOI: 10.1016/0378-4371(88)90076-3
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    References listed on IDEAS

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    1. Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
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