Boundary-driven phase transitions in open two-species driven systems with an umbilic point

TL;DR

This paper investigates how an umbilic point influences phase transitions in open two-species driven systems, revealing a new discontinuous transition driven by an umbilic shock, contrasting with traditional hyperbolic cases.

Contribution

It introduces the concept of an umbilic shock in open two-species systems and demonstrates its role in large-scale phase transitions, highlighting differences from hyperbolic systems.

Findings

U-shock governs large phase space regions

Discontinuous transition driven by U-shock

Different phases when umbilic point is not isolated

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.