Force correlator for driven disordered systems at finite temperature
Phys. Rev. E 112, 014109 – Published 7 July, 2025
DOI: https://doi.org/10.1103/dkhl-c68t
Abstract
When driving a disordered elastic manifold through quenched disorder, the pinning forces exerted on the center of mass are fluctuating, with mean and variance , where is the externally imposed control parameter for the preferred position of the center of mass. was obtained via the functional renormalization group in the limit of vanishing temperature , and vanishing driving velocity . There are two fixed points, and deformations thereof, which are well understood: The depinning fixed point ( before ) rounded at , and the zero-temperature equilibrium fixed point ( before ) rounded at . Here we consider the whole parameter space of driving velocity and temperature , and quantify numerically the crossover between these two fixed points.