Collège Doctoral - Doktorandenkollegien

Statistical Physics of Complex Systems

Coventry - Leipzig - Lviv - Nancy

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Publication

Title Fourier's law on a one-dimensional optical random lattice
Authors Platini T., Harris R. J., Karevski D.
Reference J. Phys. A: Math. Theor. 43 (2009) 13503
DOI10.1088/1751-8113/43/13/135003
ArXivarxiv:0811.3079
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)∇n where τ is a typical timescale of the lattice fluctuations and ∇n is the density gradient imposed by the reservoirs.


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