Temperature anomalies of oscillating diffusion in ac-driven periodic systems

We analyse the impact of temperature on the diffusion coefficient of an inertial Brownian particle moving in a symmetric periodic potential and driven by a symmetric time-periodic force. Recent studies have revealed the low friction regime in which the diffusion coefficient shows giant damped quasi-...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-06
Main Authors: Marchenko, I G, Aksenova, V, Marchenko, I I, Łuczka, J, Spiechowicz, J
Format: Article
Language:English
Subjects:
Anomalies
Brownian motion
Diffusion coefficient
Impact analysis
Maxima
Quasi-Periodic Oscillations
Temperature dependence
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We analyse the impact of temperature on the diffusion coefficient of an inertial Brownian particle moving in a symmetric periodic potential and driven by a symmetric time-periodic force. Recent studies have revealed the low friction regime in which the diffusion coefficient shows giant damped quasi-periodic oscillations as a function of the amplitude of the time-periodic force [I. G. Marchenko et al., Chaos 32, 113106 (2022)]. We find out that when temperature grows the diffusion coefficient increases at its minima, however, it decreases at the maxima within a finite temperature window. This curious behavior is explained in terms of the deterministic dynamics perturbed by thermal fluctuations and mean residence time of the particle in the locked and running trajectories. We demonstrate that temperature dependence of the diffusion coefficient can be accurately reconstructed from the stationary probability to occupy the running trajectories.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.04977