Temporal correlations and persistence in the kinetic Ising model: the role of temperature

J.M. Drouffe and C. Godrèche
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J.M. Drouffe: Service de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
C. Godrèche: Service de Physique de l'État Condensé, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France

The European Physical Journal B: Condensed Matter and Complex Systems, 2001, vol. 20, issue 2, 281-288

Abstract: Abstract: We study the statistical properties of the sum S t = dt'σ t', that is the difference of time spent positive or negative by the spin σ t, located at a given site of a D-dimensional Ising model evolving under Glauber dynamics from a random initial configuration. We investigate the distribution of St and the first-passage statistics (persistence) of this quantity. We discuss successively the three regimes of high temperature ( T > T c), criticality ( T = T c), and low temperature ( T

Keywords: PACS. 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion – 05.50.+q Lattice theory and statistics (Ising; Potts; etc.) – 75.10.Hk Classical spin models (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/s100510170277

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