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Non-vanishing bound...
Non-vanishing boundary effects and quasi-first-order phase transitions in high dimensional Ising models
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Lundow, P. H. (författare)
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- Markström, Klas (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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(creator_code:org_t)
- Amsterdam : Elsevier, 2011
- 2011
- Engelska.
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Ingår i: Nuclear Physics B. - Amsterdam : Elsevier. - 0550-3213 .- 1873-1562. ; 845:1, s. 120-139
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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(2)S/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. (C) 2010 Elsevier B.V. All rights reserved.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- ising model
- phase transitions
- boundary effects
- lattice
- field
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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