Reciprocal relation related with the violation of the fluctuation-response relation in a driven diffusive system
1 Department of Physics, Kyushu University - Fukuoka 812-8581, Japan
2 Department of Physics, Niigata University - Niigata 950-2181, Japan
Received: 30 November 2016
Accepted: 26 February 2017
We derive the reciprocal relation between the linear mechanical and thermal response functions in a driven diffusive model. In this model, we consider the violation of the fluctuation-response relation (FRR) of the velocity of a particle to the thermal perturbation. In addition, we also consider the FRR violation of the heat current of the system to a mechanical perturbation. We show the equality for the extent of these FRR violations using the Fokker-Planck equation.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.40.Jc – Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EPLA, 2017