Enhancement of critical slowing down in chiral phase transition - Langevin dynamics approach

T. Koide, M. Maruyama

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

We derive the linear Langevin equation that describes the behavior of the fluctuations of the order parameter of the chiral phase transition above the critical temperature by applying the projection operator method to the Nambu-Jona-Lasinio model at finite temperature and density. The Langevin equation relaxes exhibiting oscillation, reveals thermalization and converges to the equilibrium state consistent with the mean-field approximation as time goes on. With the help of this Langevin equation, we further investigate the relaxation of the critical fluctuations. The relaxation time of the critical fluctuations increases at speed as the temperature approaches toward the critical temperature because of the critical slowing down. The critical slowing down is enhanced as the chemical potential increases because of the Pauli blocking. Furthermore, we find another enhancement of the critical slowing down around the tricritical point.

Original languageEnglish
Pages (from-to)95-129
Number of pages35
JournalNuclear Physics A
Volume742
Issue number1-2
DOIs
Publication statusPublished - 2004 Sep 20

Keywords

  • Chiral phase transition
  • Critical slowing down
  • Langevin equation
  • Mode coupling theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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