The large deviation principle and steady-state fluctuation theorem for the entropy production rate of a stochastic process in magnetic fields

摘要

Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. There exist very few results for steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle for diffusion processes due to the technical difficulties. Here we give a proof for the steady-state fluctuation theorem of a diffusion process in magnetic fields, with explicit expressions of the free energy function and rate function. The proof is based on the Karhunen-Loeve expansion of complex-valued Ornstein-Uhlenbeck process. Published by AIP Publishing.