Fourier's law on a one-dimensional optical random lattice - Condensed Matter > Quantum GasesReport as inadecuate




Fourier's law on a one-dimensional optical random lattice - Condensed Matter > Quantum Gases - Download this document for free, or read online. Document in PDF available to download.

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.



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

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents