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 large 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.

References in corpus (7)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Fluctuation theorems for stochastic dynamics
• An Extension of the Fluctuation Theorem
• Fluctuation symmetries for work and heat
• Fluctuation theorem for the effusion of an ideal gas
• Bound particle coupled to two thermostats
• Efficiency at maximum power for classical particle transport

Cited by in corpus (4)

• Level 2 large deviation functionals for systems with and without detailed balance
• An integral fluctuation theorem for systems with unidirectional transitions
• Stochastic thermodynamics for Ising chain and symmetric exclusion process
• The validity of the no-pumping theorem in systems with finite-range interactions between particles