http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31572

Kinetic Models with Randomly Perturbed Binary Collisions (Articolo in rivista)

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Kinetic Models with Randomly Perturbed Binary Collisions (Articolo in rivista) (literal)

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Alternative label

Bassetti F., Ladelli L., Toscani G. (2011)
Kinetic Models with Randomly Perturbed Binary Collisions
in Journal of statistical physics; Springer, New York (Stati Uniti d'America)
(literal)

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Dipartimento di Matematica, Università di Pavia; Dipartimento di Matematica, Politecnico di Milano; Dipartimento di Matematica, Universìtà di Pavia (literal)

Titolo

Abstract

We introduce a class of Kac-like kinetic equations on the real line, with general random collisional rules which, in some special cases, identify models for granular gases with a background heat bath [11], and models for wealth redistribution in an agent-based market [6]. Conditions on these collisional rules which guarantee both the existence and uniqueness of equilibrium profiles and their main properties are found. The characterization of these stationary states is of independent interest, since we show that they are stationary solutions of different evolution problems, both in the kinetic theory of rarefied gases [14,33] and in the econophysical context [6]. (literal)

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