Dynamics of Phase Transitions: The 3D 3-state Potts model

Abstract

In studies of the QCD deconfining phase transition or cross-over by means of heavy ion experiments, one ought to be concerned about non-equilibrium effects due to heating and cooling of the system. In this paper we extend our previous study of Glauber dynamics of 2D Potts models to the 3D 3-state Potts model, which serves as an effective model for some QCD properties. We investigate the linear theory of spinodal decomposition in some detail. It describes the early time evolution of the 3D model under a quench from the disordered into the ordered phase well, but fails in 2D. Further, the quench leads to competing vacuum domains, which are difficult to equilibrate, even in the presence of a small external magnetic field. From our hysteresis study we find, as before, a dynamics dominated by spinodal decomposition. There is evidence that some effects survive in the case of a cross-over. But the infinite volume extrapolation is difficult to control, even with lattices as large as $120^3$.

12 pages; added references, corrected typos

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Cited by in corpus (10)

• Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
• Phase Transition Properties of 3D Potts Models
• Phase conversion in a weakly first-order quark-hadron transition
• Glauber dynamics of phase transitions: SU(3) lattice gauge theory
• Langevin dynamics of the pure SU(2) deconfining transition
• Thermalization in SU(3) gauge theory after a deconfining quench
• Evolution of the Structure Factors in Pure SU(N) Lattice Gauge Theory and Effective Spin Models
• Model A Dynamics and the Deconfining Phase Transition for Pure Lattice Gauge Theory
• Deconfinement transition dynamics and early thermalization in QGP
• Dissipation and memory effects in pure glue deconfinement