Identification of domain walls in coarsening systems at finite temperature

Abstract

Recently B. Derrida [Phys. Rev. E 55, 3705 (1997)] introduced a numerical technique that allows one to measure the fraction of persistent spins in a coarsening nonequilibrium system at finite temperature. In the present work we extend this method in a way that domain walls can be clearly identified. To this end we consider three replicas instead of two. As an application we measure the surface area of coarsening domains in the two-dimensional Ising model at finite temperature. We also discuss the question to what extent the results depend on the algorithmic implementation.

8 pages, revtex, including 6 encapsulated postscript figures, dynamic exponent corrected

References in corpus (1)

• Damage Spreading in the Ising Model

Cited by in corpus (9)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Domain growth morphology in curvature driven two dimensional coarsening
• Coarsening and persistence in a class of stochastic processes interpolating between the Ising and voter models
• Numerical study of persistence in systems with absorbing states
• Slow dynamics in a 2D Ising model with competing interactions
• Local Persistence in the Directed Percolation Universality Class
• Nature vs. Nurture: Predictability in Low-Temperature Ising Dynamics
• Domain growth within the backbone of the three-dimensional $\pm J$ Edwards-Anderson spin glass
• Ising model with memory: coarsening and persistence properties