Dynamic crossover in the global persistence at criticality

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dc.creatorPaul, Raja
dc.creatorGambassi, Andrea
dc.creatorSchehr, Gregory
dc.date2006-12-28
dc.date2007-03-19
dc.date.accessioned2026-07-07T10:21:58Z
dc.date.available2026-07-07T10:21:58Z
dc.descriptionWe investigate the global persistence properties of critical systems relaxing from an initial state with non-vanishing value of the order parameter (e.g., the magnetization in the Ising model). The persistence probability of the global order parameter displays two consecutive regimes in which it decays algebraically in time with two distinct universal exponents. The associated crossover is controlled by the initial value m_0 of the order parameter and the typical time at which it occurs diverges as m_0 vanishes. Monte-Carlo simulations of the two-dimensional Ising model with Glauber dynamics display clearly this crossover. The measured exponent of the ultimate algebraic decay is in rather good agreement with our theoretical predictions for the Ising universality class.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0612656
dc.identifierhttp://arxiv.org/abs/cond-mat/0612656
dc.identifierEurophys.Lett.78:10007,2007
dc.identifierdoi:10.1209/0295-5075/78/10007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175355
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleDynamic crossover in the global persistence at criticality
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