Self-organized critical directed percolation

Sergei Maslov; Yi Cheng Zhang

doi:10.1016/0378-4371(95)00346-0

Self-organized critical directed percolation

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce and study a dynamic transport model exhibiting Self-Organized Criticality. The novel concepts of our model are the probabilistic propagation of activity and unbiased random repartition of energy among the active site and its nearest neighbors. For space dimensionality d ≥ 2 we argue that the model is related to (d + 1)-dimensional directed percolation, with time interpreted as the preferred direction.

Original language	English (US)
Pages (from-to)	1-6
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	223
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(95)00346-0
State	Published - Jan 1 1996
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

Online availability

10.1016/0378-4371(95)00346-0

Library availability

Discover UIUC Full Text

Cite this

@article{24ef5780146d450780c296d38f064869,

title = "Self-organized critical directed percolation",

abstract = "We introduce and study a dynamic transport model exhibiting Self-Organized Criticality. The novel concepts of our model are the probabilistic propagation of activity and unbiased random repartition of energy among the active site and its nearest neighbors. For space dimensionality d ≥ 2 we argue that the model is related to (d + 1)-dimensional directed percolation, with time interpreted as the preferred direction.",

author = "Sergei Maslov and Zhang, {Yi Cheng}",

note = "Funding Information: The work of one of us (SM) was supported by the U.S. Department of Energy Division of Material Science, under contract DE-AC02-76CH00016. SM thanks Institut de Physique Th6orique, Universit6 de Fribourg for hospitality during the visit when this work was accomplished. We thank Per Bak for useful comments and careful reading of the manuscript.",

year = "1996",

month = jan,

day = "1",

doi = "10.1016/0378-4371(95)00346-0",

language = "English (US)",

volume = "223",

pages = "1--6",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Self-organized critical directed percolation

AU - Maslov, Sergei

AU - Zhang, Yi Cheng

N1 - Funding Information: The work of one of us (SM) was supported by the U.S. Department of Energy Division of Material Science, under contract DE-AC02-76CH00016. SM thanks Institut de Physique Th6orique, Universit6 de Fribourg for hospitality during the visit when this work was accomplished. We thank Per Bak for useful comments and careful reading of the manuscript.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We introduce and study a dynamic transport model exhibiting Self-Organized Criticality. The novel concepts of our model are the probabilistic propagation of activity and unbiased random repartition of energy among the active site and its nearest neighbors. For space dimensionality d ≥ 2 we argue that the model is related to (d + 1)-dimensional directed percolation, with time interpreted as the preferred direction.

AB - We introduce and study a dynamic transport model exhibiting Self-Organized Criticality. The novel concepts of our model are the probabilistic propagation of activity and unbiased random repartition of energy among the active site and its nearest neighbors. For space dimensionality d ≥ 2 we argue that the model is related to (d + 1)-dimensional directed percolation, with time interpreted as the preferred direction.

UR - http://www.scopus.com/inward/record.url?scp=0010485453&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010485453&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(95)00346-0

DO - 10.1016/0378-4371(95)00346-0

M3 - Article

AN - SCOPUS:0010485453

SN - 0378-4371

VL - 223

SP - 1

EP - 6

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

ER -

Self-organized critical directed percolation

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this