Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover

Abstract

We extend the definition of a global order parameter to the case of a critical system confined between two infinite parallel plates separated by a finite distance $L$. For a quench to the critical point we study the persistence property of the global order parameter and show that there is a crossover behaviour characterized by a non universal exponent which depends on the ratio of the system size to a dynamic length scale.

References in corpus (7)

• Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
• Nontrivial Exponent for Simple Diffusion
• Global Persistence Exponent for Critical Dynamics
• Persistence in higher dimensions : a finite size scaling study
• Dynamic crossover in the global persistence at criticality
• Finite Size Effect in Persistence
• Scaling Function for the Critical Specific Heat in a Confined Geometry : Spherical Limit

Cited by in corpus (5)

• Fractality in Persistence Decay and Domain Growth during Ferromagnetic Ordering: Dependence upon initial correlation
• Persistence in Brownian motion of an ellipsoidal particle in two dimensions
• Persistence of an active asymmetric rigid Brownian particle in two dimensions
• Dynamic crossover in the persistence probability of manifolds at criticality
• Dynamic Scaling in Rotating Turbulence: A Shell Model Study