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Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover

D. Chakraborty·J. K. Bhattacharjee
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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.

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D. Chakraborty, J. K. Bhattacharjee. 2007-03-09. Global Persistence Exponent in Critical Dynamics: Finite Size induced Crossover. https://doi.org/10.1103/physreve.76.031117

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