Hydrodynamics of one dimensional particle systems

by Harald Posch

at Physics Colloquium

Tue, 14 Mar 2017, 15:00
Nanotechnology institute building (#51) room 15

Abstract

One dimensional particle systems are known to be anomalous with respect to the dynamics of their hydrodynamic conserved fields and of their related currents In a first step we consider a simple driven diffusive system the fluctuating Burgers equation which has only a single conserved density and belongs to the KPZ universality class We combine mode coupling theory and exact results by Prordfhofer and Spohn J Stat Phys vol 115 255 2004 to derive asymptotic expressions for the time correlation functions of the related mode and of the corresponding current In a second step this model is generalized to full hydrodynamics with three conservation laws and hence three modes two counter propagating sound modes and one heat mode Particular emphasis is not only given to the time scaling of the mode mode correlations but also to the pre factors of the related current current correlation functions The results are compared to extensive computer simulations for two simple fluids with short range interactions Refreshments are served at 14:45

Created on 21-02-2017 by Bar Lev, Yevgeny (ybarlev)
Updaded on 21-02-2017 by Bar Lev, Yevgeny (ybarlev)