TY  - JOUR
AU  - Popkov, V.
AU  - Schütz, G.M.
TI  - Unusual shock wave in two-species driven systems with an umbilic point
JO  - Physical review / E
VL  - 86
IS  - 3
SN  - 1539-3755
CY  - College Park, Md.
PB  - APS
M1  - PreJuSER-111858
SP  - 031139
PY  - 2012
N1  - 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.
AB  - 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.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000309204400004
DO  - DOI:10.1103/PhysRevE.86.031139
UR  - https://juser.fz-juelich.de/record/111858
ER  -