umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Critical behavior of the Ising model in annealed scale-free networks
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
Show others and affiliations
2009 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 80, no 051127Article in journal (Refereed) Published
Abstract [en]

We study the critical behavior of the Ising model in annealed scale-free (SF) networks of finite system size with forced upper cutoff in degree. By mapping the model onto the weighted fully connected Ising model, we derive analytic results for the finite-size scaling (FSS) near the phase transition, characterized by the cutoff-dependent two-parameter scaling with four distinct scaling regimes, in highly heterogeneous networks. These results are essentially the same as those found for the nonequilibrium contact process in annealed SF networks, except for an additional complication due to the trivial critical point shift in finite systems. The discrepancy of the FSS theories between annealed and quenched SF networks still remains in the equilibrium Ising model, like some other nonequilibrium models. All of our analytic results are confirmed reasonably well by numerical simulations.

Place, publisher, year, edition, pages
2009. Vol. 80, no 051127
Identifiers
URN: urn:nbn:se:umu:diva-37770DOI: 10.1103/PhysRevE.80.051127OAI: oai:DiVA.org:umu-37770DiVA: diva2:369932
Available from: 2010-11-12 Created: 2010-11-12 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

fulltext(283 kB)79 downloads
File information
File name FULLTEXT01.pdfFile size 283 kBChecksum SHA-512
bfafdcc2549e7b240680b63b6bf682dc4b63e4a706c316893cbdad85ad2e906451b598911688cca9b3ad25851460138440be053967c535cddcae47db7d0a9a4c
Type fulltextMimetype application/pdf

Other links

Publisher's full texthttp://link.aps.org/doi/10.1103/PhysRevE.80.051127

Search in DiVA

By author/editor
Lee, Sang Hoon
In the same journal
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Search outside of DiVA

GoogleGoogle Scholar
Total: 79 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 49 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf