Phase Transition and Slowing Down in Non-Equilibrium Stochastic Processes

Slowing-down of non-equilibrium concentration fluctuations in confinement

Cédric Giraudet, Henri Bataller, Yifei Sun, Aleksandar Donev, José Maŕıa Ortiz de Zárate and Fabrizio Croccolo Laboratoire des Fluides Complexes et leurs Réservoirs, Université de Pau et des Pays de l’Adour, 64600 Anglet, France Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA and Departamento de F́ısica Aplicada I, Universidad Complutense, 28040 Madrid, S...

Non-equilibrium phase transition in negotiation dynamics

We introduce a model of negotiation dynamics whose aim is that of mimicking the mechanisms leading to opinion and convention formation in a population of individuals. The negotiation process, as opposed to "herdinglike" or "bounded confidence" driven processes, is based on a microscopic dynamics where memory and feedback play a central role. Our model displays a nonequilibrium phase transition ...

Non-equilibrium phase transition in mesoscopic biochemical systems: from stochastic to nonlinear dynamics and beyond.

A theory for an non-equilibrium phase transition in a driven biochemical network is presented. The theory is based on the chemical master equation (CME) formulation of mesoscopic biochemical reactions and the mathematical method of large deviations. The large deviations theory provides an analytical tool connecting the macroscopic multi-stability of an open chemical system with the multi-scale ...

Non-equilibrium phenomena in the QCD phase transition

Within the context of the linear σ-model for two flavours, we investigate non-equilibrium phenomena that may occur during the QCD chiral phase transition in heavy-ion collisions. We assume that the chiral symmetry breaking is followed by a rapid quench so that the system falls out of thermal equilibrium. We study the mechanism for the amplification of the pion field during the oscillations of t...

On the Non-equilibrium Phase Transition in Evaporation-Deposition Models