Critical exponents of the anisotropic Bak-Sneppen model

Journal Article · Tue Dec 01 04:00:00 EST 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.7141· OSTI ID:670214

Maslov, S ^[1]; De Los Rios, P; Marsili, M; Zhang, Y ^[2]; Marsili, M ^[3]

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1. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
2. Institut de Physique Theorique, Universite de Fribourg Perolles, Fribourg CH-1700 (Switzerland)
3. International School for Advanced Studies (SISSA) and INFM Unit, Trieste I-34014 (Italy)

We analyze the behavior of the spatially anisotropic Bak-Sneppen model. We demonstrate that a nontrivial relation between critical exponents {tau} and {mu}=d/D, recently derived for the isotropic Bak-Sneppen model, holds for its anisotropic version as well. For the one-dimensional anisotropic Bak-Sneppen model, we derive an exact equation for the distribution of avalanche spatial sizes, and extract the value {gamma}=2 for one of the critical exponents of the model. Other critical exponents are then determined from previously known exponent relations. Our results are in excellent agreement with Monte Carlo simulations of the model as well as with direct numerical integration of the new equation. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 670214
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 58; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

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MONTE CARLO METHOD
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