Nonequilibrium 2PI evolution of the O(N) model with longitudinal expansion

Abstract

Motivated by the problem of thermalization in heavy-ion collisions, we present numerical simulations of the nonequilibrium evolution of the O(N) model in 1+2 dimensions with longitudinal expansion and in the presence of a background field. We work in the NLO approximation of the 1/N expansion and consider both the strong and weak coupling cases. Special emphasis is put on the difference between the 2PI formalism and the classical statistical approach. In the 2PI case at strong coupling, we find some evidence of the Bose-Einstein (exponential) distribution in the expanding system.

12 pages, 12 figures; v2 version published in PRD

References in corpus (9)

• Thermalization in Weakly Coupled Nonabelian Plasmas
• Bottom-up isotropization in classical-statistical lattice gauge theory
• The initial spectrum of fluctuations in the little bang
• Chaotic behavior in classical Yang-Mills dynamics
• Nonlinear amplification of instabilities with longitudinal expansion
• Over-populated gauge fields on the lattice
• Quantum field thermalization in expanding backgrounds
• Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism
• Entropy Production in Gluodynamics in temporal axial gauge in 2+1 dimensions

Cited by in corpus (6)

• The non-linear Glasma
• Nonequilibrium fixed points in longitudinally expanding scalar theories: infrared cascade, Bose condensation and a challenge for kinetic theory
• Non-renormalizability of the classical statistical approximation
• Initial State Quantum Fluctuations in the Little Bang
• Thermalization of overpopulated systems in the 2PI formalism
• Kinetic theory of a longitudinally expanding system