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arXiv · 1003.3755

Fourier's law on a one-dimensional optical random lattice

T. Platini·R. J. Harris·D. Karevski
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Abstract

We study the transport properties of a one-dimensional hard-core bosonic lattice gas coupled to two particle reservoirs at different chemical potentials which generate 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=-κ(τ)\nabla n $ where $τ$ is a typical timescale of the lattice fluctuations and $\nabla n$ the density gradient imposed by the reservoirs.

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T. Platini, R. J. Harris, D. Karevski. 2010-03-19. Fourier's law on a one-dimensional optical random lattice. https://doi.org/10.1088/1751-8113%2F43%2F13%2F135003

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