Anomalous transport in driven periodic systems: distribution of the absolute negative mobility effect in the parameter space

TL;DR

This paper explores the distribution of absolute negative mobility in a driven nonlinear Brownian motion model across nearly a billion parameter regimes, revealing how system parameters influence this paradoxical transport phenomenon.

Contribution

It provides the first large-scale computational analysis of negative mobility distribution in a complex multidimensional parameter space using GPU supercomputing.

Findings

Negative mobility depends on specific system parameters.

Optimal parameters for frequent negative mobility are identified.

Distribution of negative mobility is mapped across extensive parameter space.

Abstract

Absolute negative mobility is one of the most paradoxical forms of anomalous transport behaviour. At the first glance it contradicts the superposition principle and the second law of thermodynamics, however, its fascinating nature bridges nonlinearity and nonequlibrium in which these fundamental rules are no longer valid. We consider a paradigmatic model of the nonlinear Brownian motion in a driven periodic system which exhibits the absolute negative mobility. So far research on this anomalous transport feature has been limited mostly to the single case studies due to the fact that this model possesses the complex multidimensional parameter space. In contrast, here we harvest GPU supercomputers to analyze the distribution of negative mobility in the parameter space. We consider nearly $10^9$ parameter regimes to discuss how the emergence of negative mobility depends on the system parameters as well as provide the optimal ones for which it occurs most frequently.