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On a generalized kinetic approach to relativistic extended thermodynamics. (English) Zbl 1329.80003

Summary: Extended Thermodynamics is applicable to many physical problems. Hydrodynamics models are also capable to describe the charge carrier transport in semi conductors, particularly with regard to hot electrons and submicron devices. In a recent paper [A. M. Anile et al., Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 1, 49–74 (1992; Zbl 0800.76027)] we considered the macroscopic model with an arbitrary but fixed number of moments for Relativistic E.T. and we found the closure consistent with the entropy principle and the Einstein relativity one, up to whatever order with respect to equilibrium. Everything was determined in terms of an arbitrary family of a single variable functions arising from integration. Subsequently, in paper [S. Pennisi and A. Anile, “Fluid models for relativistic electron beams: an independent derivation”, Phys. Fluids B 3, No. 4, 1091–1103 (1991)], we proved that fixing a certain order np with respect to equilibrium and a scalar valued single variable function \(\psi\), appearing at that order, then all the other terms appearing at orders \(n\leq n_p\) are determined in terms of \(\psi\), without introducing any other function. In this paper we will prove that the same result can be found also with a generalized kinetic approach. It has the advantage of being expressed in a more compact way.

MSC:

80A17 Thermodynamics of continua
74A15 Thermodynamics in solid mechanics
74A20 Theory of constitutive functions in solid mechanics

Citations:

Zbl 0800.76027
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