Rigorous solution of a mean field spin glass model

T. C. Dorlas and J. R. Wedagedera

International Journal of Stochastic Analysis, 2000, vol. 13, 1-14

Abstract:

A separable spin glass model whose exchange integral takes the form J i j = J ( ξ i 1 ξ j 2 + ξ i 2 ξ j 1 ) which was solved by van Hemmen et al. [12] using large deviation theory [14] is rigorously treated. The almost sure convergence criteria associated with the cumulant generating function C ( t ) with respect to the quenched random variables ξ is carefully investigated, and it is proved that the related excluded null set 𝒩 is independent of t . The free energy and hence the other thermodynamic quantities are rederived using Varadhan's Large Deviation Theorem. A simulation is also presented for the entropy when ξ assumes a Gaussian distribution.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJSA/13/957821.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJSA/13/957821.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:957821

DOI: 10.1155/S1048953300000162

Access Statistics for this article

More articles in International Journal of Stochastic Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().