Statistical investigation of avalanches of three-dimensional small-world networks and their boundary and bulk cross-sections

Physical Review. E
M N Najafi, H Dashti-Naserabadi

Abstract

In many situations we are interested in the propagation of energy in some portions of a three-dimensional system with dilute long-range links. In this paper, a sandpile model is defined on the three-dimensional small-world network with real dissipative boundaries and the energy propagation is studied in three dimensions as well as the two-dimensional cross-sections. Two types of cross-sections are defined in the system, one in the bulk and another in the system boundary. The motivation of this is to make clear how the statistics of the avalanches in the bulk cross-section tend to the statistics of the dissipative avalanches, defined in the boundaries as the concentration of long-range links (α) increases. This trend is numerically shown to be a power law in a manner described in the paper. Two regimes of α are considered in this work. For sufficiently small αs the dominant behavior of the system is just like that of the regular BTW, whereas for the intermediate values the behavior is nontrivial with some exponents that are reported in the paper. It is shown that the spatial extent up to which the statistics is similar to the regular BTW model scales with α just like the dissipative BTW model with the dissipation factor (mass in...Continue Reading

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Nov 1, 1988·Physical Review A: General Physics·P Alstrom
Jan 15, 1991·Physical Review. a·K ChenS P Obukhov
Oct 1, 1989·Physical Review. B, Condensed Matter·H J JensenH C Fogedby
Apr 2, 1990·Physical Review Letters·D Dhar
Oct 25, 1993·Physical Review Letters·B PlourdeM Bretz
Dec 6, 1993·Physical Review Letters·B DrosselF Schwabl
Dec 13, 1993·Physical Review Letters·P Bak, K Sneppen
Feb 13, 1995·Physical Review Letters·S FieldX Ling
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S Lubeck
May 3, 2001·Nature·H JeongZ N Oltvai
Jun 22, 2001·Nature·F LiljerosY Aberg
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E Newman
Nov 13, 2003·Physical Review Letters·K-I GohD Kim
Feb 21, 2006·Physical Review Letters·Lucilla de ArcangelisHans J Herrmann
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A A SaberiS Rouhani
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M N NajafiS Rouhani
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Himangsu Bhaumik, S B Santra
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Dashti-Naserabadi, M N Najafi
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Amin Moosavi, Afshin Montakhab

❮ Previous
Next ❯

Citations

Apr 16, 2020·Physical Review. E·M N NajafiH J Herrmann
May 15, 2021·Computational Intelligence and Neuroscience·Julius Beneoluchi OdiliM Zarina

❮ Previous
Next ❯

Related Concepts

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.