Numerical Study of Continuous and Discontinuous Dynamical Phase Transitions for Boundary Driven Systems

TL;DR

This paper provides numerical evidence of dynamical phase transitions in boundary driven systems, highlighting both continuous and discontinuous transitions, and clarifies the absence of such transitions in the KMP model over a broad parameter range.

Contribution

It introduces numerical analysis of phase transitions in boundary driven systems, revealing new insights into the nature and occurrence of these transitions.

Findings

Discontinuous phase transition between different density profiles.

Continuous transition from time-independent to time-dependent profiles.

KMP model does not exhibit phase transition in a large parameter range.

Abstract

The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It is shown that certain models exhibit a discontinuous transition between two different density profiles and a continuous transition between a time-independent and a time-dependent profile. We also checked that the KMP model does not exhibit phase transition in a range much larger than previously explored.