Kinetics of the chiral phase transition in a linear $\sigma$ model

Abstract

We study the dynamics of the chiral phase transition in a linear quark-meson $\sigma$ model using a novel approach based on semiclassical wave-particle duality. The quarks are treated as test particles in a Monte-Carlo simulation of elastic collisions and the coupling to the $\sigma$ meson, which is treated as a classical field. The exchange of energy and momentum between particles and fields is described in terms of appropriate Gaussian wave packets. It has been demonstrated that energy-momentum conservation and the principle of detailed balance are fulfilled, and that the dynamics leads to the correct equilibrium limit. First schematic studies of the dynamics of matter produced in heavy-ion collisions are presented.

15 pages, 12 figures, accepted by EPJA, dedicated to memory of Walter Greiner; v2: corrected typos, added references and an acknowledgment

References in corpus (6)

• The Phase Structure of the Polyakov--Quark-Meson Model
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Existence of the critical endpoint in the vector meson extended linear sigma model
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• A Monte Carlo framework for noncontinuous interactions between particles and classical fields

Cited by in corpus (5)

• Polyakov linear-sigma model in mean-field approximation and optimized perturbation theory
• Bulk viscosity in strong and electroweak matter
• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• Chiral Phase Transition in an Expanding Quark System
• Unification of Stochastic and Quantum Thermodynamics in Scalar Field Theory via a Model with Brownian Thermostat