English

Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover

Statistical Mechanics 2009-11-13 v1

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 LL. 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.

Keywords

Cite

@article{arxiv.cond-mat/0703244,
  title  = {Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover},
  author = {D. Chakraborty and J. K. Bhattacharjee},
  journal= {arXiv preprint arXiv:cond-mat/0703244},
  year   = {2009}
}