# Fourier&#x27;s law on a one-dimensional optical random lattice - Condensed Matter > Quantum Gases

Fourier&#x27;s law on a one-dimensional optical random lattice - Condensed Matter > Quantum Gases - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We study the transport properties of a one-dimensional hard-core bosoniclattice gas coupled to two particle reservoirs at different chemical potentialswhich generate a current flow through the system. In particular, the influenceof random fluctuations of the underlying lattice on the stationary-stateproperties is investigated. We show analytically that the steady-state densitypresents a linear profile. The local steady-state current obeys the Fourier law$j=-\kappa\tau abla n$ where $\tau$ is a typical timescale of the latticefluctuations and $abla n$ the density gradient imposed by the reservoirs.

Autor: T. Platini, R. J. Harris, D. Karevski

Fuente: https://arxiv.org/