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@ARTICLE{Popkov:111858,
author = {Popkov, V. and Schütz, G.M.},
title = {{U}nusual shock wave in two-species driven systems with an
umbilic point},
journal = {Physical review / E},
volume = {86},
number = {3},
issn = {1539-3755},
address = {College Park, Md.},
publisher = {APS},
reportid = {PreJuSER-111858},
pages = {031139},
year = {2012},
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.},
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.},
keywords = {J (WoSType)},
cin = {ICS-2},
ddc = {530},
cid = {I:(DE-Juel1)ICS-2-20110106},
pnm = {BioSoft: Makromolekulare Systeme und biologische
Informationsverarbeitung},
pid = {G:(DE-Juel1)FUEK505},
shelfmark = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000309204400004},
doi = {10.1103/PhysRevE.86.031139},
url = {https://juser.fz-juelich.de/record/111858},
}