Long-range correlations in a simple stochastic model of coupled transport

Abstract

We study coupled transport in the nonequilibrium stationary state of a model consisting of independent random walkers, moving along a one-dimensional channel, which carry a conserved energy-like quantity, with density and temperature gradients imposed by reservoirs at the ends of the channel. In our model, walkers interact with other walkers at the same site by sharing energy at each time step, but the amount of energy carried does not affect the motion of the walkers. We find that already in this simple model long-range correlations arise in the nonequilibrium stationary state which are similar to those observed in more realistic models of coupled transport.

18 pages, 5 figures. v2: Modifications after refereeing, including one additional figure

References in corpus (10)

• Thermal conduction in classical low-dimensional lattices
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Factorised Steady States in Mass Transport Models
• Observation of coupled normal heat and matter transport in a simple model system
• An expression for stationary distribution in nonequilibrium steady state
• Nonequilibrium Energy Profiles for a Class of 1-D Models
• A stochastic model of anomalous heat transport: analytical solution of the steady state
• Temperature Profiles in Hamiltonian Heat Conduction
• Nonequilibrium Invariant Measure under Heat Flow
• Long-range correlations in non-equilibrium systems: Lattice gas automaton approach

Cited by in corpus (4)

• Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states
• Finite-size scaling for discontinuous nonequilibrium phase transitions
• Long range correlations in stochastic transport with energy and momentum conservation
• Maximum Entropy distributions of correlated variables with prespecified marginals