Nonequilibrium Criticality in One Dimension: From the Kardar-Parisi-Zhang Equation to Exciton-Polariton Condensates (Springer Theses)

This book explores one-dimensional nonequilibrium systems, both classical and quantum, using extensive numerical simulations and advanced field-theoretical methods, namely the functional renormalization group.It weaves unexpected connections between classical statistical physics with the Kardar-Parisi-Zhang (FRG) equation, which is a famous model for stochastic interface growth; dynamical systems, with the complex Ginzburg-Landau (CGL) equation, which is a much-studied model of deterministic chaos; exciton-polariton fluids-elementary opto-electronic excitations created in dedicated semiconductor nanostructures-which are subject to a non-equilibrium Bose-Einstein transition.This work unveils a new fixed point of the one-dimensional KPZ equation, named inviscid Burgers (IB) fixed point, which had been missed so far, and which yields a new scaling regime in the limit of small surface tension (or small viscosity in the equivalent Burgers equation).It turns out that the IB fixed point also