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 |

DOI | 10.1088/1751-8113/43/13/135003 |

ArXiv | arxiv: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. |