Heat exchanges in a quenched ferromagnet

Abstract

The off-equilibrium probability distribution of the heat exchanged by a ferromagnet in a time interval after a quench below the critical point is calculated analytically in the large-N limit. The distribution is characterized by a singular threshold Qc < 0, below which a macroscopic fraction of heat is released by the k = 0 Fourier component of the order parameter. The mathematical structure producing this phenomenon is the same responsible of the order parameter condensation in the equilibrium low temperature phase. The heat exchanged by the individual Fourier modes follows a non trivial pattern, with the unstable modes at small wave vectors warming up the modes around a characteristic finite wave vector kM. Two internal temperatures, associated to the k = 0 and k = kM modes, rule the heat currents through a fluctuation relation similar to the one for stationary systems in contact with two thermal reservoirs.

5 pages, 2 figures. New version with improved and extended text

References in corpus (6)

• The effective temperature
• Work fluctuations for a Brownian particle between two thermostats
• Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
• Cumulants and large deviations of the current through non-equilibrium steady states
• Mapping Nonequilibrium onto Equilibrium: The Macroscopic Fluctuations of Simple Transport Models
• Large deviation approach to nonequilibrium systems

Cited by in corpus (23)

• Large fluctuations and dynamic phase transition in a system of self-propelled particles
• Condensation of Fluctuations in and out of Equilibrium
• Condensation transition in joint large deviations of linear statistics
• The grand canonical catastrophe as an instance of condensation of fluctuations
• Large deviations, condensation, and giant response in a statistical system
• Heat fluctuations of Brownian oscillators in nonstationary processes: fluctuation theorem and condensation transition
• Landau theory for finite-time dynamical phase transitions
• Work fluctuations of self-propelled particles in the phase separated state
• Condensation vs Ordering: From the Spherical Models to BEC in the Canonical and Grand Canonical Ensemble
• Fluctuations of the heat exchanged between two quantum spin chains
• Energy and Heat Fluctuations in a Temperature Quench
• Development and regression of a large fluctuation
• Large Deviations in Renewal Models of Statistical Mechanics
• Probability distributions with singularities
• Singular behavior of fluctuations in a relaxation process
• Statistical fluctuations under resetting: rigorous results
• Optimal response to non-equilibrium disturbances under truncated Burgers-Hopf dynamics
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Dynamics of fluctuations in the Gaussian model with conserved dynamics
• Work fluctuations for a confined Brownian particle: the role of initial conditions
• Relation between Statics and Dynamics in the Quench of the Ising Model to below the Critical Point
• Large Deviations in Renewal Theory and Renewal Models of Statistical Mechanics
• Dynamics of fluctuations in the Gaussian model with dissipative Langevin Dynamics