Out-of-equilibrium bosons on a one-dimensional optical random lattice

Details Out-of-equilibrium bosons on a one-dimensional optical random lattice Out-of-equilibrium bosons on a one-dimensional optical random lattice

2008-11-19

arxiv.org/abs/0811.3079v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We study the transport properties of a one-dimensional hard-core boson lattice gas coupled to two particle reservoirs at different chemical potentials generating a current flow through the system. In particular, the influence of random fluctuations of the underlying lattice on the stationary state properties is investigated. We show analytically that the steady-state density presents a linear profile. The local steady-state current obeys the Fourier law $j=-\kappa(\tau)\nabla \rho $ where $\tau$ is a typical timescale of the lattice fluctuations and $\nabla \rho$ the density gradient imposed %on the system by the reservoirs.

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