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Heat fluctuations of Brownian oscillators in nonstationary processes: Fluctuation theorem and condensation transition
No full textWe study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry properties of the heat distribution in the nonstationary dynamics, in order to study the forms taken by the fluctuation theorem as the number of degrees of freedom is varied. After analyzing in great detail the cases of one and two oscillators, we consider the limit of a large number of oscillators, where the behavior of fluctuations is enriched by a condensation transition with a nontrivial phase diagram, characterized by reentrant behavior. Numerical simulations confirm our analytical findings. We also discuss and highlight how concepts borrowed from the study of fluctuations in equilibrium under symmetry-breaking conditions [Gaspard, J. Stat. Mech. (2012) P08021] turn out to be quite useful in understanding the deviations from the standard fluctuation theorem
The non-equilibrium response of the critical Ising model: universal scaling properties and local scale invariance
No full textCLASSICAL DIFFUSION IN SOFT POTENTIALS AND SUPERSYMMETRIC QUANTUM-MECHANICS
No full textWe review the use of supersymmetric quantum mechanics in the analysis of the classical diffusion of a brownian particle in weakly binding (soft) potentials. In particular, our computations are shown to provide an accurate analytical determination of the shape- mode frequency of the static double sine- Gordon kink
Scaling behavior of response functions in the coarsening dynamics of disordered ferromagnets
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