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Block scaling in the directed percolation universality class
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Pruessner, Gunnar (2008) Block scaling in the directed percolation universality class. New Journal of Physics, Vol.10 . doi:10.1088/1367-2630/10/11/113003 ISSN 1367-2630.
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Official URL: http://dx.doi.org/10.1088/1367-2630/10/11/113003
Abstract
The universal behaviour of the directed percolation universality class is well understood-both the critical scaling and the finite size scaling. This paper focuses on the block (finite size) scaling of the order parameter and its fluctuations, considering (sub-)blocks of linear size l in systems of linear size L. The scaling depends on the choice of the ensemble, as only the conditional ensemble produces the block-scaling behaviour as established in equilibrium critical phenomena. The dependence on the ensemble can be understood by an additional symmetry present in the unconditional ensemble. The unconventional scaling found in the unconditional ensemble is a reminder of the possibility that scaling functions themselves have a power-law dependence on their arguments.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Scaling laws (Statistical physics), Percolation (Statistical physics), Phase transformations (Statistical physics), Lattice theory | ||||
Journal or Publication Title: | New Journal of Physics | ||||
Publisher: | IOP Publishing | ||||
ISSN: | 1367-2630 | ||||
Official Date: | 7 November 2008 | ||||
Dates: |
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Volume: | Vol.10 | ||||
Number of Pages: | 13 | ||||
DOI: | 10.1088/1367-2630/10/11/113003 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Research Councils UK (RCUK), Santa Fe Institute (Santa Fe, N.M.), Hungarian National Science Foundation | ||||
Grant number: | OTKA K61534 |
Data sourced from Thomson Reuters' Web of Knowledge
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