arXiv:1502.07613 · Nuclear Physics B

The discontinuity of the specific heat for the 5D Ising model

P. H. Lundow, Klas Markström

Published Apr 20, 2015• 26 citations

Abstract

In this paper we investigate the behaviour of the specific heat around the critical point of the Ising model in dimension 5 to 7. We find a specific heat discontinuity, like that for the mean field Ising model, and provide estimates for the left and right hand limits of the specific heat at the critical point. We also estimate the singular exponents, describing how the specific heat approaches those limits. Additionally, we make a smaller scale investigation of the same properties in dimension 6 and 7, and provide strongly improved estimates for the critical temperature Kc in d=5,6,7 which bring the best MC-estimate closer to those obtained by long high temperature series expansions.

DOI: 10.1016/j.nuclphysb.2015.04.013

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arXiv:1502.07613 · Nuclear Physics B

The discontinuity of the specific heat for the 5D Ising model

P. H. Lundow, Klas Markström

Published Apr 20, 2015• 26 citations

arXiv HTML PDF

Abstract

DOI: 10.1016/j.nuclphysb.2015.04.013

Related papers

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arXiv:1907.01340Journal of Statistical Mechanics Theory and ExperimentSep 1, 20196 citations

Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model

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{\mathit{h}}_{\mathit{r}}

{)}^{2}

being close to one this gives further support for a two-exponent scaling scenario implying \ensuremath{\eta}\ifmmode\bar\else\textasciimacron\fi{}=2\ensuremath{\eta}. The magnetization behaves discontinuously at the transition, i.e., \ensuremath{\beta}=0. However, no divergence for the specific heat and in particular no latent heat is found. Also the probability distribution of the magnetization does not show a multipeak structure that would be characteristic for the phase-coexistence at first-order phase-transition points.