Journal Article

PreJuSER-111858

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Unusual shock wave in two-species driven systems with an umbilic point

Popkov, V.FZJ* ; Schütz, G. M.FZJ*

2012
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/9224  doi:10.1103/PhysRevE.86.031139

Abstract: Using dynamical Monte Carlo simulations we observe the occurrence of an unexpected shock wave in driven diffusive systems with two conserved species of particles. This U shock is microscopically sharp, but does not satisfy the usual criteria for the stability of shocks. Exact analysis of the large-scale hydrodynamic equations of motion reveals the presence of an umbilical point which we show to be responsible for this phenomenon. We prove that such an umbilical point is a general feature of multispecies driven diffusive systems with reflection symmetry of the bulk dynamics. We argue that a U shock will occur whenever there are strong interactions between species such that the current-density relation develops a double well and the umbilical point becomes isolated.

Keyword(s): J

Note: V.P. thanks the IZKS and the University of Bonn for hospitality and acknowledges partial support by the Alexander von Humboldt Foundation and from the italian MIUR through PRIN 20083C8XFZ initiative.

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Contributing Institute(s):

1. Theorie der weichen Materie und Biophysik (ICS-2)

Research Program(s):

1. BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung (P45)

Appears in the scientific report 2012

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Database coverage:
; ; ; Current Contents - Social and Behavioral Sciences ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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