Large deviation function and fluctuation theorem for classical particle transport
Abstract
We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic long-time regime is reached starting from a special propagating initial condition. We show that the steady-state fluctuation theorem holds provided that the distribution of the particle number decays faster than an exponential, implying analyticity of the generating function and a discrete spectrum for its evolution operator.
- Publication:
-
Physical Review E
- Pub Date:
- January 2014
- DOI:
- 10.1103/PhysRevE.89.012141
- arXiv:
- arXiv:1308.0082
- Bibcode:
- 2014PhRvE..89a2141H
- Keywords:
-
- 05.70.Ln;
- 05.40.-a;
- 05.20.-y;
- Nonequilibrium and irreversible thermodynamics;
- Fluctuation phenomena random processes noise and Brownian motion;
- Classical statistical mechanics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- doi:10.1103/PhysRevE.89.012141