Transport coefficients of d-dimensional inelastic Maxwell models

Andrés Santos

Physica A: Statistical Mechanics and its Applications, 2003, vol. 321, issue 3, 442-466

Abstract: Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by an average velocity-independent value. The resulting inelastic Maxwell model has received a large amount of recent interest, especially in connection with the high energy tail of homogeneous states. In this paper, the transport coefficients of inelastic Maxwell models in d dimensions are derived by means of the Chapman–Enskog method for unforced systems as well as for systems driven by a Gaussian thermostat and by a white noise thermostat. Comparison with known transport coefficients of inelastic hard spheres shows that their dependence on inelasticity is captured by the inelastic Maxwell models only in a mild qualitative way. Paradoxically, a much simpler BGK-like model kinetic equation is closer to the results for inelastic hard spheres than the inelastic Maxwell model.

Keywords: Transport coefficients; Granular gases; Inelastic Maxwell models; Boltzmann equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:321:y:2003:i:3:p:442-466

DOI: 10.1016/S0378-4371(02)01005-1

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