Symmetry Breaking of Current Response in Disordered Exclusion Processes

Abstract

The bias-reversal symmetry -- where reversing an external bias inverts the current without changing its magnitude -- is a hallmark of nonequilibrium transport. While this property holds in homogeneous systems such as the asymmetric simple exclusion process, how disorder and its interplay with particle interactions affect this symmetry has remained unclear. Here, we identify a general criterion in disordered exclusion processes showing that the bias-reversal symmetry holds if and only if the local left-right bond-bias ratio is spatially uniform. This criterion provides a practical diagnostic that separates heterogeneous environments into symmetry-preserving and symmetry-breaking classes. Mean-field and numerical analyses reveal that bond disorder preserves the symmetry beyond linear response, whereas site disorder breaks it through an interplay between heterogeneity and particle interactions. Our results demonstrate how environmental disorder and interparticle interactions cooperate to generate asymmetric transport, thereby providing insight that is potentially relevant to transport through biological and artificial nanochannels.

12 pages, 4 figures

References in corpus (19)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Driven Lattice Gases with Quenched Disorder: Exact Results and Different Macroscopic Regimes
• Steady State and Dynamics of Driven Diffusive Systems with Quenched Disorder
• Disordered asymmetric simple exclusion process: mean-field treatment
• Partially asymmetric exclusion models with quenched disorder
• Sample-Dependent Phase Transitions in Disordered Exclusion Models
• Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder
• Partially Asymmetric Exclusion Processes with Sitewise Disorder
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Asymmetric Exclusion Processes with Disorder: Effect of Correlations
• Spatiotemporally complete condensation in a non-Poissonian exclusion process
• Smooth or shock: universality in closed inhomogeneous driven single file motions
• Trace of anomalous diffusion in a biased quenched trap model
• Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• Sample-to-sample fluctuations of transport coefficients in the totally asymmetric simple exclusion process with quenched disorder
• Non-self-averaging of current in a totally asymmetric simple exclusion process with quenched disorder
• Tracer and current fluctuations in driven diffusive systems
• Unexpected Effects of Disorder on Current Fluctuations in the Symmetric Simple Exclusion Process