Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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
Non-vanishing boundary effects and quasi-first-order phase transitions in high dimensional Ising models
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2011 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 845, no 1, 120-139 p.Article in journal (Refereed) Published
Abstract [en]

In order to gain a better understanding of the Ising model in higher dimensions we have made a comparative study of how the boundary, open versus cyclic, of a d-dimensional simple lattice, for d = 1,...,5, affects the behaviour of the specific heat C and its microcanonical relative, the entropy derivative -partial derivative S-2/partial derivative U-2. In dimensions 4 and 5 the boundary has a strong effect on the critical region of the model and for cyclic boundaries in dimension 5 we find that the model displays a quasi-first-order phase transition with a bimodal energy distribution. The latent heat decreases with increasing systems size but for all system sizes used in earlier papers the effect is clearly visible once a wide enough range of values for K is considered. Relations to recent rigorous results for high dimensional percolation and previous debates on simulation of Ising models and gauge fields are discussed.

Place, publisher, year, edition, pages
2011. Vol. 845, no 1, 120-139 p.
Keyword [en]
Ising model, Phase transitions, Boundary effects
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-31606DOI: 10.1016/j.nuclphysb.2010.12.002ISI: 000287002300005Scopus ID: 2-s2.0-78650416475OAI: oai:DiVA.org:kth-31606DiVA: diva2:406276
Note
QC 20110325Available from: 2011-03-25 Created: 2011-03-21 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Lundow, Per Håkan
By organisation
Condensed Matter Theory
In the same journal
Nuclear Physics B
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 26 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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