Large deviation function and fluctuation theorem for classical particle transport.

  title={Large deviation function and fluctuation theorem for classical particle transport.},
  author={Upendra Harbola and Christian Van den Broeck and Katja Lindenberg},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={89 1},
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. 
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