Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916144135274496 |
|---|---|
| author | Newman, C. M. Stein, D. L. |
| author_facet | Newman, C. M. Stein, D. L. |
| contents | We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on Gibbs states whose edge overlap values with a reference state fall within a specified range. Using this metastate we show that, in any dimension, the variance of free energy difference fluctuations between pure states within a single mixed Gibbs state with multiple edge overlap values diverges linearly with the volume. We discuss some implications of these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07132 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses Newman, C. M. Stein, D. L. Disordered Systems and Neural Networks Statistical Mechanics Mathematical Physics We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on Gibbs states whose edge overlap values with a reference state fall within a specified range. Using this metastate we show that, in any dimension, the variance of free energy difference fluctuations between pure states within a single mixed Gibbs state with multiple edge overlap values diverges linearly with the volume. We discuss some implications of these results. |
| title | Overlap Structure and Free Energy Fluctuations in Short-Range Spin Glasses |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2306.07132 |