PMID: 15244788Jul 13, 2004Paper

Ising model in scale-free networks: a Monte Carlo simulation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Carlos P Herrero

Abstract

The Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a degree (or connectivity) distribution P (k) approximately k(-gamma). The ferromagnetic-paramagnetic transition temperature has been studied as a function of the parameter gamma. For gamma>3 our results agree with earlier analytical calculations, which found a phase transition at a temperature T(c) (gamma) in the thermodynamic limit. For gamma< or =3, a ferromagnetic-paramagnetic crossover occurs at a size-dependent temperature T(co), and the system is in the ordered ferromagnetic state at any temperature for a system size N--> infinity. For gamma=3 and large enough N, the crossover temperature is found to be T(co) approximately A ln N, with a prefactor A proportional to the mean degree. For 2<gamma<3, we obtain T(co) approximately <k>N(z), with an exponent z that decreases as gamma increases. This exponent is found to be lower than predicted by earlier calculations.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Oct 16, 1999·Science·A L Barabasi, R Albert
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Moore, M E Newman
Jan 10, 2001·Proceedings of the National Academy of Sciences of the United States of America·M E Newman
Mar 22, 2001·Nature·S H Strogatz
Apr 6, 2001·Physical Review Letters·M Kuperman, G Abramson
May 3, 2001·Nature·H JeongZ N Oltvai
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pontus Svenson, Desmond A Johnston
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N DorogovtsevJ F F Mendes
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ferenc Iglói, Loïc Turban
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A V GoltsevJ F F Mendes
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yamir MorenoAmalio F Pacheco
Dec 20, 2003·Physical Review Letters·Reuven CohenDaniel Ben-Avraham

❮ Previous
Next ❯

Citations

Apr 8, 2014·PloS One·Daniele MarinazzoSebastiano Stramaglia
Apr 6, 2013·Chaos·Chuansheng ShenZhonghuai Hou
Nov 4, 2015·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·J Gómez-GardeñesS Gómez
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Apr 28, 2009·Molecular BioSystems·Francisco A Rodrigues, Luciano da Fontoura Costa
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D-H KimD Kim
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Deok-Sun Lee
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julián Candia
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wooseop KwakIn-Mook Kim
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Mar 20, 2018·Physical Review. E·Manuel SchrauthJefferson S E Portela
Aug 16, 2017·Scientific Reports·Hendrik SchaweAlexander K Hartmann
Aug 7, 2007·Physical Review Letters·Hyunsuk HongHyunggyu Park
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hanshuang Chen, Zhonghuai Hou
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hyunsuk HongHyunggyu Park
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hangmo Yi
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jianhong KeWei Lu
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Do-Hyun Kim
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V PalchykovYu Holovatch
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takehisa Hasegawa, Koji Nemoto
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takehisa Hasegawa, Koji Nemoto
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hanshuang ChenHouwen Xin
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Krzysztof Suchecki, Janusz A Hołyst
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Krzysztof Suchecki, Janusz A Hołyst
Jul 18, 2021·Physical Review. E·Carlos Gracia-LázaroYamir Moreno

❮ 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
Takehisa Hasegawa, Koji Nemoto
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Carlos P Herrero
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S N DorogovtsevJ F Mendes
© 2022 Meta ULC. All rights reserved