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Kiemes, Martin; Horner, Heinz, E-mail: kiemes@theorie.physik.uni-goettingen.de, E-mail: horner@tphys.uni-heidelberg.de2008
AbstractAbstract
[en] We study the dynamical low-temperature behaviour of the Ising spin glass on the Bethe lattice. Starting from Glauber dynamics we propose a cavity such as an ansatz that allows for the treatment of the slow (low temperature) part of dynamics. Assuming a continuous phase transition and ultrametricity with respect to long time scales we approach the problem perturbatively near the critical temperature. The theory is formulated in terms of correlation-response functions of arbitrary order. They can, however, be broken down completely to products of pair functions depending on two time arguments only. For binary couplings J = ±I a spin glass solution is found which approaches the corresponding solution for the SK model in the limit of high connectivity. For more general distributions P(J) no stable or marginal solution of this type appears to exist. The nature of the low-temperature phase in this more general case is unclear
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Source
Conference on viewing the world through spin glasses in honour of Professor David Sherrington on the occasion of his 65. birthday; Oxford (United Kingdom); 31 Aug - 1 Sep 2007; S1751-8113(08)68687-4; Available from http://dx.doi.org/10.1088/1751-8113/41/32/324017; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Literature Type
Conference
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 41(32); [17 p.]

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