Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition itself of a relaxation time is an open question. We introduce a lower bound for the relaxation time, and give a general theorem for estimating it. Then we give an application to a concrete model of an interacting gas, in which the lower bound turns out to be of the order of magnitude of the relaxation times observed in dilute gases. © 2010 Springer-Verlag.

Maiocchi, A., Carati, A. (2010). Relaxation times for Hamiltonian systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 297(2), 427-445 [10.1007/s00220-010-1039-2].

Relaxation times for Hamiltonian systems

Maiocchi A. M.
;
2010

Abstract

Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition itself of a relaxation time is an open question. We introduce a lower bound for the relaxation time, and give a general theorem for estimating it. Then we give an application to a concrete model of an interacting gas, in which the lower bound turns out to be of the order of magnitude of the relaxation times observed in dilute gases. © 2010 Springer-Verlag.
Articolo in rivista - Articolo scientifico
Relaxation times;
English
427
445
19
Maiocchi, A., Carati, A. (2010). Relaxation times for Hamiltonian systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 297(2), 427-445 [10.1007/s00220-010-1039-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/349175
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