Duality relations in single-file diffusion

Abstract

Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical physics. Various microscopic models of single-file systems have been considered, such as the simple exclusion process, which has reached the status of a paradigmatic model. Several different models of single-file diffusion have been shown to be related by a duality relation, which holds either microscopically or only in the hydrodynamic limit of large time and large distances. Here, we show that, within the framework of fluctuating hydrodynamics, these relations are not specific to these models and that, in the hydrodynamic limit, every single-file system can be mapped onto a dual single-file system, which we characterise. This general duality relation allows us to obtain new results for different models, by exploiting the solutions that are available for their dual model.

References in corpus (7)

• From random walk to single-file diffusion
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• Generalised density profiles in single-file systems
• Exact correlations in a single file system with a driven tracer
• Driven tracers in narrow channels
• Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas

Cited by in corpus (11)

• Exact spatial correlations in single-file diffusion
• Equation of state of hard-disk fluids under single-file confinement
• Joint distribution of currents in the symmetric exclusion process
• Single-File Diffusion of Active Brownian Particles
• Tagged particle behavior in a harmonic chain of direction reversing active Brownian particles
• Tracer and current fluctuations in driven diffusive systems
• Dynamic fluctuations of current and mass in nonequilibrium mass transport processes
• Universal scale-free decay of tracer-bath correlations in $d$-dimensional interacting particle systems
• Fluctuating Hydrodynamics Describes Transport in Cellular Aggregates
• Density-dependent transport coefficients in two-dimensional cellular aggregates
• Macroscopic fluctuation theory of interacting Brownian particles