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

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

2010-03-19

arxiv.org/abs/1003.3755v1

J. Phys. A: Math. Theor. 43 135003 (2010)

Physics

Condensed Matter

Quantum Gases

9 pages, 2 figures

Scientific paper

10.1088/1751-8113/43/13/135003

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=-\kappa(\tau)\nabla n $ where $\tau$ is a typical timescale of the lattice fluctuations and $\nabla n$ the density gradient imposed by the reservoirs.

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