ISSN:
1572-9613
Keywords:
chaotic hypothesis
;
Gallavotti–Cohen fluctuation theorem
;
Ehrenfest wind-tree model
;
Gaussian thermostat
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We test the applicability of the Gallavotti–Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is an one-particle system whose dynamics is rather complex (e.g., it appears to be diffusive at equilibrium), but its Lyapunov exponents are nonpositive. For small applied field, the system exhibits a very long transient, during which the dynamics is roughly chaotic, followed by asymptotic collapse on a periodic orbit. During the transient, the dynamics is diffusive, and the fluctuations of the current are found to be in agreement with the fluctuation formula, despite the lack of real hyperbolicity. These results also constitute an example which manifests the difference between the fluctuation formula and the Evans–Searles identity.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018695529398
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