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On one-step replica...
On one-step replica symmetry breaking in the Edwards-Anderson spin glass model
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- Del Ferraro, Gino, 1983- (författare)
- KTH,Beräkningsbiologi, CB
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Wang, Chuang (författare)
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Zhou, Hai-Jun (författare)
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- Aurell, Erik (författare)
- KTH,ACCESS Linnaeus Centre,Aalto University, Finland
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(creator_code:org_t)
- 2016-07-28
- 2016
- Engelska.
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Ingår i: Journal of statistical physics. - : Institute of Physics (IOP). - 0022-4715 .- 1572-9613.
- Relaterad länk:
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http://iopscience.io...
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http://arxiv.org/pdf...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider a one-step replica symmetry breaking description of the Edwards–Anderson spin glass model in 2D. The ingredients of this description are a Kikuchi approximation to the free energy and a second-level statistical model built on the extremal points of the Kikuchi approximation, which are also fixed points of a generalized belief propagation (GBP) scheme. We show that a generalized free energy can be constructed where these extremal points are exponentially weighted by their Kikuchi free energy and a Parisi parameter y, and that the Kikuchi approximation of this generalized free energy leads to second-level, one-step replica symmetry breaking (1RSB), GBP equations. We then proceed analogously to the Bethe approximation case for tree-like graphs, where it has been shown that 1RSB belief propagation equations admit a survey propagation solution. We discuss when and how the one-step-replica symmetry breaking GBP equations that we obtain also allow a simpler class of solutions which can be interpreted as a class of generalized survey propagation equations for the single instance graph case.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Region graph approximations
- generalized belief propagation
- survey propagation
- generalized survey propagation
- low temperature
- Fysik
- Physics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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