Boundary-driven phase transitions in open two-species driven systems with an umbilic point
Abstract
Different phases in open driven systems are governed by either shocks or rarefaction waves. A presence of an isolated umbilic point in bidirectional systems of interacting particles stabilizes an unusual large scale excitation, an umbilic shock (U-shock). We show that in open systems the U-shock governs a large portion of phase space, and drives a new discontinuous transition between the two rarefaction-controlled phases. This is in contrast with strictly hyperbolic case where such a transition is always continuous. Also, we describe another robust phase which takes place of the phase governed by the U-shock, if the umbilic point is not isolated.
Keywords
Cite
@article{arxiv.1211.3283,
title = {Boundary-driven phase transitions in open two-species driven systems with an umbilic point},
author = {V. Popkov},
journal= {arXiv preprint arXiv:1211.3283},
year = {2015}
}
Comments
17 pages, 6 Figs. arXiv admin note: text overlap with arXiv:1206.1490; small typos in Eq (3),(5) corrected