We consider a mechanical model in the plane, consisting of a vertical rod, subject to a constant horizontal force f and to elastic collisions with the particles of a free gas which is horizontally in equilibrium at some inverse temperature. In a previous paper we proved that, in the appropriate space and time scaling, the motion of the rod is described as a drift term plus a diffusion term. In this paper we prove that the drift d(f) and the diffusivity 2(f) are continuous functions of f, and moreover that the Einstein relation holds.
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Titolo: | On the Einstein relation for a mechanical system | |
Autori: | ||
Data di pubblicazione: | 1997 | |
Rivista: | ||
Handle: | http://hdl.handle.net/11573/27715 | |
Appartiene alla tipologia: | 01a Articolo in rivista |