Linear Langevin Equation of Critical Fluctuation in Chiral Phase Transition

2003/08/08 by T. Koide, Koide, T., M. Maruyama +2 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0308025

4 pages, 3 figures

arxiv created 2003/08/08 · openalex publication_date 2003/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the linear Langevin equation that describes the behavior of critical fluctuation above the critical temperature of the chiral phase transition in the Nambu-Jona-Lasinio model. The Langevin equation relaxes exhibiting oscillation and shows thermalization. The relaxation becomes slower as the system approaches the critical point(the critical slowing down). The time correlation function also calculated using the Langevin equation shows that there exists the same soft mode as the previous calculation in the linear response theory.

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