Johannes Fuchs et al J. Stat. Mech. (2008) P04015 doi:10.1088/1742-5468/2008/04/P04015
Johannes Fuchs1, Jörg Schelter1, Francesco Ginelli2,3 and Haye Hinrichsen1
Show affiliationsWe revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1+1 dimensions, discovering strong corrections to scaling in higher dimensions, and investigating the mean field limit. Moreover, we examine a graded persistence probability that a site does not flip more than m times and demonstrate how local persistence can be studied in seed simulations. Finally, the problem of spatial (as opposed to temporal) persistence is investigated.
E-print Number: 0801.4705
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
82C27 Dynamic critical phenomena
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
Issue 04 (April 2008)
Received 6 February 2008, accepted for publication 18 March 2008
Published 14 April 2008
Johannes Fuchs et al J. Stat. Mech. (2008) P04015
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