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

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

2009-03-18

arxiv.org/abs/0903.3166v2

J. Phys. A: Math. Theor. 42(33), 335002 (2009)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1751-8113/42/33/335002

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.

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