Tricritical behavior in dynamical phase transitions

Abstract

We identify a new scenario for dynamical phase transitions associated with time-integrated observables occurring in diffusive systems described by the macroscopic fluctuation theory. It is characterized by the pairwise meeting of first- and second-order bias-induced phase transition curves at two tricritical points. We formulate a simple, general criterion for its appearance and derive an exact Landau theory for the tricritical behavior. The scenario is demonstrated in three examples: the simple symmetric exclusion process biased by an activity-related structural observable; the Katz-Lebowitz-Spohn lattice gas model biased by its current; and in an active lattice gas biased by its entropy production.

21 pages, authors' accepted version

References in corpus (16)

• The large deviation approach to statistical mechanics
• Motility-Induced Phase Separation
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Dynamic first-order phase transition in kinetically constrained models of glasses
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Large Deviations in Single File Diffusion
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Out-of-equilibrium tricritical point in a system with long-range interactions
• Cumulants and large deviations of the current through non-equilibrium steady states
• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• Dynamics of interacting particle systems: stochastic process and field theory
• Inactive dynamical phase of a symmetric exclusion process on a ring
• Entropy production and its large deviations in an active lattice gas
• Probing Long-Range Intensity Correlations inside Disordered Photonic Nanostructures
• Tricritical directed percolation with long-range interaction in one and two dimensions

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• Lecture notes on large deviations in non-equilibrium diffusive systems
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• Full distribution of the ground-state energy of potentials with weak disorder
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• Noise driven phase transitions in eco-evolutionary systems