Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach

Abstract

Thermal activation of a particle from a deep potential trap follows the Arrhenius law. Recently, this result was generalized for interacting diffusive particles in the trap, revealing two universality classes -- the Arrhenius class and the excluded volume class. The result was demonstrated with the aid of numerical analysis. Here, we present a perturbative hydrodynamic approach to analytically validate the existence and range of validity for the two universality classes.

References in corpus (45)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Macroscopic fluctuation theory
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Macroscopic current fluctuations in stochastic lattice gases
• Breaking of ergodicity and long relaxation times in systems with long-range interactions
• Criterion for phase separation in one-dimensional driven systems
• Universal cumulants of the current in diffusive systems on a ring
• Large Deviations in Single File Diffusion
• Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Activated escape of a self-propelled particle from a metastable state
• Zero-range process with open boundaries
• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
• Large Deviations of Surface Height in the Kardar-Parisi-Zhang Equation
• Thermodynamics of currents in nonequilibrium diffusive systems: theory and simulation
• Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process
• Test of the Additivity Principle for Current Fluctuations in a Model of Heat Conduction
• Optimizing Brownian escape rates by potential shaping
• Condensation in the inclusion process and related models
• Diffusion of Tagged Particle in an Exclusion Process
• Interlacing Relaxation and First-Passage Phenomena in Reversible Discrete and Continuous Space Markovian Dynamics
• Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
• Duality Between Relaxation and First Passage in Reversible Markov Dynamics: Rugged Energy Landscapes Disentangled
• Dynamics of condensation in the symmetric inclusion process
• Le Chatelier principle for out of equilibrium and boundary driven systems : application to dynamical phase transitions
• Survival of a static target in a gas of diffusing particles with exclusion
• Narrow escape of interacting diffusing particles
• Equilibrium-like fluctuations in some boundary-driven open diffusive systems
• Universality in dynamical phase transitions of diffusive systems
• Generalized Exclusion Processes: Transport Coefficients
• Arrhenius law for interacting diffusive systems
• Numerical Study of Continuous and Discontinuous Dynamical Phase Transitions for Boundary Driven Systems
• Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems
• Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle
• Tricritical behavior in dynamical phase transitions
• Joint distribution of currents in the symmetric exclusion process
• Extreme current fluctuations of boundary-driven systems in the large-N limit
• Cooperative surmounting of bottlenecks
• Gradient structure and transport coefficients for strong particles
• Lifetime of locally stable states near a phase transition in the Thirring model
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Thermodynamic uncertainty relations for many-body systems with fast jump rates and large occupancies

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