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EnglishWe 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.
http://hdl.handle.net/11573/27715| Titolo: | On the Einstein relation for a mechanical system |
| Autori interni: | BOLDRIGHINI, Carlo |
| Data di pubblicazione: | 1997 |
| Rivista: | PROBABILITY THEORY AND RELATED FIELDS |
| Abstract: | 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. |
| Handle: | http://hdl.handle.net/11573/27715 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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