Description: Unusual shock wave in two-species driven systems with an umbilic point

This title appears in the Scientific Report : 2012

Unusual shock wave in two-species driven systems with an umbilic point

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-s...

Personal Name(s):	Popkov, V.
	Schütz, G.M.
Contributing Institute:	Theorie der Weichen Materie und Biophysik; ICS-2
Published in:	Physical review / E, 86 (2012) S. 031139
Imprint:	College Park, Md. APS 2012
Physical Description:	031139
DOI:	10.1103/PhysRevE.86.031139
Document Type:	Journal Article
Research Program:	BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung
Series Title:	Physical Review E 86
Subject (ZB):	J
Link:	Get full text OpenAccess OpenAccess
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.86.031139 in citations.
Please use the identifier: http://hdl.handle.net/2128/9224 in citations.

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.