Dynamics of Phase Transitions by Hysteresis Methods I

Abstract

In studies of the QCD deconfining phase transition or crossover by means of heavy ion experiments, one ought to be concerned about non-equilibrium effects due to heating and cooling of the system. Motivated by this, we look at hysteresis methods to study the dynamics of phase transitions. Our systems are temperature driven through the phase transition using updating procedures in the Glauber universality class. Hysteresis calculations are presented for a number of observables, including the (internal) energy, properties of Fortuin-Kasteleyn clusters and structure functions. We test the methods for 2d Potts models, which provide a rich collection of phase transitions with a number of rigorously known properties. Comparing with equilibrium configurations we find a scenario where the dynamics of the transition leads to a spinodal decomposition which dominates the statistical properties of the configurations. One may expect an enhancement of low energy gluon production due to spinodal decomposition of the Polyakov loops, if such a scenario is realized by nature.

12 pages, revised after referee report, to appear in Phys. Rev. D

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Cited by in corpus (12)

• 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
• Exploring first-order phase transitions with population annealing
• Dynamics of Phase Transitions: The 3D 3-state Potts model
• Evolution of the Structure Factors in Pure SU(N) Lattice Gauge Theory and Effective Spin Models
• Deconfinement transition dynamics and early thermalization in QGP
• Model A Dynamics and the Deconfining Phase Transition for Pure Lattice Gauge Theory
• Ordering dynamics in the presence of multiple phases
• Short-time Dynamics of Percolation Observables
• Studying nonlinear effects on the early stage of phase ordering using a decomposition method
• The type of the phase transition and coupling values in λϕ^4 model