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Model Lorentz-like equation with continuous spectrum

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  • Dudyński, Marek

Abstract

We present a new model of the Lorentz gas kinetic equation for a system where the integral collision operator has a spectrum consisting of a continuous and discrete part. The spectral gap between the two kinds of the spectrum is an adjustable parameter of the model. This allows for the analysis of the existence and property of the hydrodynamical eigenstates and the meaning of the Grad’s method of moments for the transition between hard and soft interactions.

Suggested Citation

  • Dudyński, Marek, 2016. "Model Lorentz-like equation with continuous spectrum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 65-76.
    • Handle: RePEc:eee:phsmap:v:453:y:2016:i:c:p:65-76
    DOI: 10.1016/j.physa.2016.01.033
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    References listed on IDEAS

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    1. Cornu, F. & Piasecki, J., 2006. "Three-dimensional Lorentz model in a magnetic field: Exact and Chapman–Enskog solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 591-600.
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