Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-10-28
Nucl.Phys.B845:120-139,2011
Physics
Condensed Matter
Statistical Mechanics
12 pages, 27 figures
Scientific paper
10.1016/j.nuclphysb.2010.12.002
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 -dS/dU. 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.
Lundow Per Hakan
Markström Klas
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