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The marginal stability of the metastable TAP states

Plefka, Timm (2021)
The marginal stability of the metastable TAP states.
In: Journal of Physics A: Mathematical and Theoretical, 2020, 53 (37)
doi: 10.26083/tuprints-00019335
Article, Secondary publication, Publisher's Version

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Type of entry: Secondary publication
Title: The marginal stability of the metastable TAP states
Language: English
Date: 2021
Year of primary publication: 2020
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Volume of the journal: 53
Issue Number: 37
Collation: 11 Seiten
DOI: 10.26083/tuprints-00019335
Corresponding Links:
Origin: Secondary publication via sponsored Golden Open Access

The existing investigations on the complexity are extended. In addition to the Edward–Anderson parameter q₂ the fourth moment q₄ = 1/NΣᵢmᵢ⁴ of the magnetizations mi is included to the set of constrained variables and the constrained complexity Σ(T; q₂, q₄) is numerical determined. The maximum of Σ(T; q₂, q₄) (representing the total complexity) sticks at the boundary for temperatures at and below a new critical temperature. This implies marginal stability for the nearly all metastable states. The temperature dependence of the lowest value of the Gibbs potential consistent with various physical requirements is presented.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-193350
Additional Information:

Keywords: spin-glass, TAP equation, complexity, marginal stability

Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute for Condensed Matter Physics
Date Deposited: 23 Aug 2021 12:28
Last Modified: 23 Aug 2021 12:28
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19335
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