Persistence of Manifolds in Nonequilibrium Critical Dynamics

Details Persistence of Manifolds in Nonequilibrium Critical Dynamics Persistence of Manifolds in Nonequilibrium Critical Dynamics

2003-02-26

arxiv.org/abs/cond-mat/0302537v1

Phys. Rev. Lett. 91, 030602 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex, 1 eps figure included

Scientific paper

10.1103/PhysRevLett.91.030602

We study the persistence P(t) of the magnetization of a d' dimensional manifold (i.e., the probability that the manifold magnetization does not flip up to time t, starting from a random initial condition) in a d-dimensional spin system at its critical point. We show analytically that there are three distinct late time decay forms for P(t) : exponential, stretched exponential and power law, depending on a single parameter \zeta=(D-2+\eta)/z where D=d-d' and \eta, z are standard critical exponents. In particular, our theory predicts that the persistence of a line magnetization decays as a power law in the d=2 Ising model at its critical point. For the d=3 critical Ising model, the persistence of the plane magnetization decays as a power law, while that of a line magnetization decays as a stretched exponential. Numerical results are consistent with these analytical predictions.

Affiliated with

Also associated with

No associations

Rating

Persistence of Manifolds in Nonequilibrium Critical Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Persistence of Manifolds in Nonequilibrium Critical Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Persistence of Manifolds in Nonequilibrium Critical Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529250