Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover

Details Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover

2007-03-09

arxiv.org/abs/cond-mat/0703244v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.76.031117

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.

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