Universal versus drive-dependent exponents for sandpile models

Hiizu Nakanishi, Kim Sneppen

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

We study the scaling relations of the Manna [J. Phys. A 24, L363 (1992)] model. We found that the avalanche exponent depends crucially on whether one drives the system in the bulk or at the boundary while the cutoff scaling exponent is invariant. Scaling relations relating these exponents are derived for various modes of driving. It is shown numerically that the one dimensional Manna model and a recently introduced ricepile model have the same exponents. Finally, a class of nonconserved self-organized critical models is introduced, and a classification scheme for sandpile models is proposed.

Original languageEnglish
Pages (from-to)4012-4016
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number4
DOIs
Publication statusPublished - Jan 1 1997

Fingerprint

Sandpile Model
Scaling Relations
Exponent
exponents
Dependent
scaling
Scaling Exponent
Avalanche
One-dimensional Model
Model
Invariant
avalanches
cut-off

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Universal versus drive-dependent exponents for sandpile models. / Nakanishi, Hiizu; Sneppen, Kim.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 4, 01.01.1997, p. 4012-4016.

Research output: Contribution to journalArticle

@article{d61043b0f6274e679fcc7dec929d3017,
title = "Universal versus drive-dependent exponents for sandpile models",
abstract = "We study the scaling relations of the Manna [J. Phys. A 24, L363 (1992)] model. We found that the avalanche exponent depends crucially on whether one drives the system in the bulk or at the boundary while the cutoff scaling exponent is invariant. Scaling relations relating these exponents are derived for various modes of driving. It is shown numerically that the one dimensional Manna model and a recently introduced ricepile model have the same exponents. Finally, a class of nonconserved self-organized critical models is introduced, and a classification scheme for sandpile models is proposed.",
author = "Hiizu Nakanishi and Kim Sneppen",
year = "1997",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.55.4012",
language = "English",
volume = "55",
pages = "4012--4016",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Universal versus drive-dependent exponents for sandpile models

AU - Nakanishi, Hiizu

AU - Sneppen, Kim

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We study the scaling relations of the Manna [J. Phys. A 24, L363 (1992)] model. We found that the avalanche exponent depends crucially on whether one drives the system in the bulk or at the boundary while the cutoff scaling exponent is invariant. Scaling relations relating these exponents are derived for various modes of driving. It is shown numerically that the one dimensional Manna model and a recently introduced ricepile model have the same exponents. Finally, a class of nonconserved self-organized critical models is introduced, and a classification scheme for sandpile models is proposed.

AB - We study the scaling relations of the Manna [J. Phys. A 24, L363 (1992)] model. We found that the avalanche exponent depends crucially on whether one drives the system in the bulk or at the boundary while the cutoff scaling exponent is invariant. Scaling relations relating these exponents are derived for various modes of driving. It is shown numerically that the one dimensional Manna model and a recently introduced ricepile model have the same exponents. Finally, a class of nonconserved self-organized critical models is introduced, and a classification scheme for sandpile models is proposed.

UR - http://www.scopus.com/inward/record.url?scp=0041772470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041772470&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.55.4012

DO - 10.1103/PhysRevE.55.4012

M3 - Article

AN - SCOPUS:0041772470

VL - 55

SP - 4012

EP - 4016

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -