TY - JOUR

T1 - Enhancement of critical slowing down in chiral phase transition - Langevin dynamics approach

AU - Koide, T.

AU - Maruyama, M.

N1 - Funding Information:
T.K. thanks A. Muronga and D. Rischke for fruitful discussions and comments. T.K. acknowledges a fellowship from the Alexander von Humboldt Foundation.

PY - 2004/9/20

Y1 - 2004/9/20

N2 - 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.

AB - 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.

KW - Chiral phase transition

KW - Critical slowing down

KW - Langevin equation

KW - Mode coupling theory

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U2 - 10.1016/j.nuclphysa.2004.06.013

DO - 10.1016/j.nuclphysa.2004.06.013

M3 - Article

AN - SCOPUS:4344682475

VL - 742

SP - 95

EP - 129

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-2

ER -