Kramers turnover in class of thermodynamically open systems: Effect of interplay of nonlinearity and noises

TL;DR

This paper investigates how nonlinear reservoir driving and multiple noise sources influence Kramers turnover in open systems, revealing that characteristic dynamics persist under complex noise interactions through numerical simulations.

Contribution

It introduces a nonlinear system-reservoir coupling model with external Gaussian noise, demonstrating Kramers turnover behavior in a nonequilibrium environment.

Findings

Kramers turnover features are recoverable with nonlinear reservoir modulation.

External Gaussian noise influences the system's noise interplay.

Numerical simulations confirm the persistence of Kramers dynamics.

Abstract

A system-reservoir nonlinear coupling model has been proposed for a situation where the reservoir is nonlinearly driven by an external Gaussian stationary noise which exposes the system particles to a nonequilibrium environment. Apart from the internal thermal noise, the thermodynamically open system encounters two other noises that are multiplicative in nature. Langevin equation derived from the resulting composite system contains the essential features of the interplay between these noise processes. Based on the numerical simulation of the full model potential, we show that one can recover the turnover features of the Kramers dynamics even when the reservoir is modulated nonlinearly by an external noise.