Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Non-markovian global persistence in phase-ordering kinetics
Henkel M., Pleimling M.
J. Stat. Mech. (2009) P12012
DOI : 10.1088/1742-5468/2009/12/P12012
ArXiv : arxiv:0907.1642 [PDF]

The persistence probability P_g(t) of the global order-parameter of a simple ferromagnet undergoing phase-ordering kinetics after a quench from a fully disordered state to below the critical temperature T_c, is analysed. It is argued that the persistence probability decays algebraically with time in the entire low-temperature phase. For Markov processes, the associated global persistence exponent theta_g = (2 lambda_C -d)/(2z) is related to the autocorrelation exponent lambda_C. This relationship is confirmed for phase-ordering in the exactly solved 1D Ising model and the d-dimensional spherical model. For the 2D Glauber-Ising model, the temperature-independent estimate theta_g=0.063(2) indicates that the dynamics of the global order-parameter is described by a non-markovian process.



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