Condensation of Fluctuations in and out of Equilibrium

Abstract

Condensation of fluctuations is an interesting phenomenon conceptually distinct from condensation on average. One stricking feature is that, contrary to what happens on average, condensation of fluctuations may occurr even in the absence of interaction. The explanation emerges from the duality between large deviation events in the given system and typical events in a new and appropriately biased system. This surprising phenomenon is investigated in the context of the Gaussian model, chosen as paradigmatical non interacting system, before and after an istantaneous temperature quench. It is shown that the bias induces a mean-field-like effective interaction responsible of the condensation on average. Phase diagrams, covering both the equilibrium and the off-equilibrium regimes, are derived for observables representative of generic behaviors.

8 pages, 7 figures

References in corpus (4)

• The large deviation approach to statistical mechanics
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Large deviations and universality in quantum quenches
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase

Cited by in corpus (21)

• Large fluctuations and dynamic phase transition in a system of self-propelled particles
• A Two-parameter Extension of Classical Nucleation Theory
• Condensation transition in joint large deviations of linear statistics
• Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting
• Finite-size localization scenarios in condensation transitions
• Energy and Heat Fluctuations in a Temperature Quench
• Development and regression of a large fluctuation
• Work Fluctuations in the Active Ornstein- Uhlenbeck Particle model
• Probability distributions with singularities
• Participation ratio for constraint-driven condensation with superextensive mass
• Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a $|x|$ potential
• Conditioned random walks and interaction-driven condensation
• Condensation of degrees emerging through a first-order phase transition in classical random graphs
• Statistical fluctuations under resetting: rigorous results
• Condensation induced by coupled transport processes
• Phase transitions in atypical systems induced by a condensation transition on graphs
• Relaxation dynamics and finite-size effects in a simple model of condensation
• Work fluctuations for a confined Brownian particle: the role of initial conditions
• Large-deviations approach to thermalization: the case of harmonic chains with conservative noise
• Relation between Statics and Dynamics in the Quench of the Ising Model to below the Critical Point
• Subleading-order theory for condensation transitions in large deviations of sums of independent and identically distributed random variables