Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field

Details Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field

2003-09-06

arxiv.org/abs/cond-mat/0309165v1

Physical Review E 68, 056102 (2003)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 14 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.68.056102

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to validate certain hyperscaling relations. Using this hyperscaling relations it is possible to express the avalanche exponents of a self-organized critical system in terms of the ordinary exponents of a continuous absorbing phase transition.

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