Generalizing multiple memories from a single drive: The hysteron latch
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909484464472064 |
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| author | Lindeman, Chloe W. Jalowiec, Travis R. Keim, Nathan C. |
| author_facet | Lindeman, Chloe W. Jalowiec, Travis R. Keim, Nathan C. |
| contents | Far-from-equilibrium systems can form memories of previous deformations or driving. In systems from sheared glassy materials to buckling beams to crumpled sheets, this behavior is dominated by return-point memory, in which revisiting a past extremum of driving restores the system to a previous state. Cyclic driving with both positive and negative strains forms multiple nested memories -- as in a single-dial combination lock -- while asymmetric driving (only positive strain) cannot. We study this case in a general model of hysteresis that considers discrete elements called hysterons. We show how two hysterons with a frustrated interaction can violate return-point memory, realizing multiple memories of asymmetric driving. This reveals a general principle for designing systems that store sequences of cyclic driving, whether symmetric or asymmetric. In disordered systems, asymmetric driving is a sensitive tool for the direct measurement of frustration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07177 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalizing multiple memories from a single drive: The hysteron latch Lindeman, Chloe W. Jalowiec, Travis R. Keim, Nathan C. Soft Condensed Matter Disordered Systems and Neural Networks Far-from-equilibrium systems can form memories of previous deformations or driving. In systems from sheared glassy materials to buckling beams to crumpled sheets, this behavior is dominated by return-point memory, in which revisiting a past extremum of driving restores the system to a previous state. Cyclic driving with both positive and negative strains forms multiple nested memories -- as in a single-dial combination lock -- while asymmetric driving (only positive strain) cannot. We study this case in a general model of hysteresis that considers discrete elements called hysterons. We show how two hysterons with a frustrated interaction can violate return-point memory, realizing multiple memories of asymmetric driving. This reveals a general principle for designing systems that store sequences of cyclic driving, whether symmetric or asymmetric. In disordered systems, asymmetric driving is a sensitive tool for the direct measurement of frustration. |
| title | Generalizing multiple memories from a single drive: The hysteron latch |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2306.07177 |