A diffusive system driven by a battery or by a smoothly varying field

Abstract

We consider the steady state of a one dimensional diffusive system, such as the symmetric simple exclusion process (SSEP) on a ring, driven by a battery at the origin or by a smoothly varying field along the ring. The battery appears as the limiting case of a smoothly varying field, when the field becomes a delta function at the origin. We find that in the scaling limit, the long range pair correlation functions of the system driven by a battery turn out to be very different from the ones known in the steady state of the SSEP maintained out of equilibrium by contact with two reservoirs, even when the steady state density profiles are identical in both models.

References in corpus (5)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
• Cumulants and large deviations of the current through non-equilibrium steady states
• Bulk-driven non-equilibrium phase transitions in a mesoscopic ring
• Crowding of Brownian spheres

Cited by in corpus (22)

• Macroscopic fluctuation theory
• Fluctuations of Current in Non-Stationary Diffusive Lattice Gases
• Exclusion process with slow boundary
• Large deviations conditioned on large deviations II: Fluctuating hydrodynamics
• Microscopic models for uphill diffusion
• Correlations of the density and of the current in non-equilibrium diffusive systems
• Current reservoirs in the simple exclusion process
• Numerical Study of Continuous and Discontinuous Dynamical Phase Transitions for Boundary Driven Systems
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Stationary uphill currents in locally perturbed Zero Range Processes
• Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems
• Long-range steady state density profiles induced by localized drive
• Exact gap statistics for the random average process on a ring with a tracer
• Long-range correlations in a locally driven exclusion process
• Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
• Deterministic model of battery, uphill currents and non-equilibrium phase transitions
• Exact Response Theory and Kuramoto dynamics
• Long range correlations in stochastic transport with energy and momentum conservation
• The boundary driven zero-range process
• Pedestrians moving in dark: Balancing measures and playing games on lattices
• Exponential rate of convergence in current reservoirs
• Microscopic and macroscopic perspectives on stationary nonequilibrium states