PMID: 11308546Apr 20, 2001Paper

Exact solution of a stochastic directed sandpile model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M KlosterC Tang

Abstract

We introduce and analytically solve a directed sandpile model with stochastic toppling rules. The model clearly belongs to a different universality class from its counterpart with deterministic toppling rules, previously solved by Dhar and Ramaswamy. The critical exponents are D(//)=7/4, tau=10/7 in two dimensions and D(//)=3/2, tau=4/3 in one dimension. The upper critical dimension of the model is three, at which the exponents apart from logarithmic corrections reach their mean-field values D(//)=2, tau=3/2.

References

Jul 1, 1988·Physical Review A: General Physics·P BakK Wiesenfeld
Jan 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M PaczuskiP Bak
Jul 27, 1987·Physical Review Letters·P BakK Wiesenfeld
Oct 16, 1989·Physical Review Letters·D Dhar, R Ramaswamy
Apr 2, 1990·Physical Review Letters·D Dhar
Aug 21, 1995·Physical Review Letters·S Maslov, Y C Zhang
Jul 1, 1996·Physical Review Letters·K ChristensenT Jossang
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Paczuski, K E Bassler

❮ Previous
Next ❯

Citations

Nov 26, 2015·PloS One·Nicky ZachariouKim Christensen
Feb 28, 2002·Physical Review Letters·David Hughes, Maya Paczuski
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Juan A Bonachela, Miguel A Muñoz
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N Zh Bunzarova
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hang-Hyun Jo, Meesoon Ha
Dec 20, 2003·Physical Review Letters·Gunnar Pruessner, Henrik Jeldtoft Jensen
Sep 13, 2002·Physical Review Letters·P K Mohanty, Deepak Dhar
Jun 1, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Reuben GannA S Landsberg
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chun-Chung Chen, Marcel den Nijs
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F C Alcaraz, V Rittenberg
Aug 11, 2001·Physical Review Letters·V B PriezzhevC K Hu
Dec 31, 2008·Physical Review Letters·Hang-Hyun Jo, Meesoon Ha
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yehiel Shilo, Ofer Biham
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chun-Chung Chen, Marcel den Nijs

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F C Alcaraz, V Rittenberg
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
N Zh Bunzarova
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
M Paczuski, K E Bassler
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
R Pastor-Satorras, A Vespignani
© 2021 Meta ULC. All rights reserved