Duality relations in single-file diffusion
arXiv:2207.07549 · doi:10.1088/1742-5468/aca8fb
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 (38)
- Macroscopic fluctuation theory
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Macroscopic fluctuation theory for stationary non equilibrium states
- The totally asymmetric exclusion process with extended objects, a model for protein synthesis
- Current fluctuations in non-equilibrium diffusive systems: an additivity principle
- Fluctuations in Stationary non Equilibrium States
- Phase Transitions in one-dimensional nonequilibrium systems
- Macroscopic current fluctuations in stochastic lattice gases
- Distribution of current in non-equilibrium diffusive systems and phase transitions
- Stochastic interacting particle systems out of equilibrium
- From random walk to single-file diffusion
- Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
- Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
- The Exclusion Process: A paradigm for non-equilibrium behaviour
- Large deviations for a stochastic model of heat flow
- Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
- Dynamical symmetry breaking and phase transitions in driven diffusive systems
- Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
- Microscopic versus macroscopic approaches to non-equilibrium systems
- Duality for stochastic models of transport
- Large deviation approach to non equilibrium processes in stochastic lattice gases
- Universal Large Deviations for the Tagged Particle in Single File Motion
- Large deviations of a tracer in the symmetric exclusion process
- Asymmetric particle systems on R
- Exclusion process for particles of arbitrary extension: Hydrodynamic limit and algebraic properties
- Large deviation function of a tracer position in single file diffusion
- Exact Tagged Particle Correlations in the Random Average Process
- Statistics of large currents in the Kipnis-Marchioro-Presutti model in a ring geometry
- Dynamical properties of single-file diffusion
- Generalised density profiles in single-file systems
- Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer
- Exact correlations in a single file system with a driven tracer
- Exact gap statistics for the random average process on a ring with a tracer
- Center of mass perturbation as a normalizable estimate of dynamic balance in gait: an application comparing typically developing children with spastic cerebral palsy
- Einstein relation and hydrodynamics of nonequilibrium mass transport processes
- 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 -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