Reciprocal relation related with the violation of the fluctuation-response relation in a driven diffusive system

Abstract

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.