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
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | The marginal stability of the metastable TAP states |
| Language: | English |
| Date: | 23 August 2021 |
| Place of Publication: | Darmstadt |
| 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 |
| Abstract: | 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: | 05 Dec 2024 16:18 |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/19335 |
| PPN: | 484667750 |
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