%0 Journal Article
%A Popkov, V.
%A Schütz, G.M.
%T Unusual shock wave in two-species driven systems with an umbilic point
%J Physical review / E
%V 86
%N 3
%@ 1539-3755
%C College Park, Md.
%I APS
%M PreJuSER-111858
%P 031139
%D 2012
%Z 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.
%X 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.
%K J (WoSType)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000309204400004
%R 10.1103/PhysRevE.86.031139
%U https://juser.fz-juelich.de/record/111858