Relaxation of 2+1 dimensional classical O(2) symmetric scalar fields

Abstract

Real time thermalization and relaxation phenomena are studied in the low energy density phase of the 2+1 dimensional classical O(2) symmetric scalar theory by solving numerically its dynamics. The near-equilibrium decay rate of on-shell waves and the power law governing the large time asymptotics of the off-shell relaxation agree with the analytic results based on linear response theory. The realisation of the Mermin-Wagner theorem is also studied in the final equilibrium ensemble.

9 Latex pages, 3 figures, final version to appear in Phys. Lett. B

References in corpus (5)

• On Thermalization in Classical Scalar Field Theory
• Time evolution of correlation functions and thermalization
• Fate of the classical false vacuum
• Effective theory for the soft fluctuation modes in the spontaneously broken phase of the N-component scalar field theory
• Dynamical Manifestation of the Goldstone Phenomenon at 1-loop

Cited by in corpus (10)

• Prethermalization
• Turbulent Thermalization
• Low-cost fermions in classical field simulations
• The O(N) linear sigma model at finite temperature beyond the Hartree approximation
• Isotropization far from equilibrium
• Out of Equilibrium Non-perturbative Quantum Field Dynamics in Homogeneous External Fields
• Ising-like dynamical signatures and the end-point of the QCD transition line
• Expanding non homogeneous configurations of the $\lambda {\varphi }^4$ model
• Time evolution in linear response: Boltzmann equations and beyond
• Out of equilibrium quantum field dynamics of an initial thermal state after a change in the external field