Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet

Abstract

We provide a detailed investigation on the fluctuations of two currents in the discrete model of Feynman's ratchet proposed by Jarzynski and Mazonka in 1999. Two macroscopic currents are identified, with the corresponding affinities determined using Schnakenberg's graph analysis. We also compute full counting statistics of the two currents and show that a fluctuation theorem holds for their joint probability distribution. Moreover, fluctuation-dissipation relation, Onsager reciprocal relation and their nonlinear generalizations are numerically shown to be satisfied in this model.

Microreversibility, fluctuation relations, and response properties in 1D Kitaev Chain

“…These fluctuation relations generalize the above two relations from the linear-response regime to regimes arbitrarily far away from equilibrium. From these relations, one can not only easily reproduce the results in linear response theory such as the Green-Kubo formula, but also obtain relations of higher-order response coefficients [16][17][18][19][20][21][22][23][24][25].…”