Nonreciprocal Spin-Glass Transition and Aging
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918192494936064 |
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| author | Lorenzana, Giulia Garcia Altieri, Ada Biroli, Giulio Fruchart, Michel Vitelli, Vincenzo |
| author_facet | Lorenzana, Giulia Garcia Altieri, Ada Biroli, Giulio Fruchart, Michel Vitelli, Vincenzo |
| contents | Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical Sherrington-Kirpatrick model that describes the antagonistic coupling between two identical complex agents modeled as macroscopic spin glasses. Our dynamical mean field theory calculations reveal an exceptional-point mediated transition from a static disorder phase to an oscillating amorphous phase as well as non-reciprocal aging with slow dynamics and oscillations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonreciprocal Spin-Glass Transition and Aging Lorenzana, Giulia Garcia Altieri, Ada Biroli, Giulio Fruchart, Michel Vitelli, Vincenzo Disordered Systems and Neural Networks Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical Sherrington-Kirpatrick model that describes the antagonistic coupling between two identical complex agents modeled as macroscopic spin glasses. Our dynamical mean field theory calculations reveal an exceptional-point mediated transition from a static disorder phase to an oscillating amorphous phase as well as non-reciprocal aging with slow dynamics and oscillations. |
| title | Nonreciprocal Spin-Glass Transition and Aging |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2408.17360 |