Ripples in a string coupled to Glauber spins
Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, there appears an equilibrium, time-independent, rippled state in the string that is accompanied by a nonzero...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/71288 https://orcid.org/0000-0002-8828-5930 |
| _version_ | 1811070703532769280 |
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| author | Rosales, Rodolfo R. Bonilla, L. L. Carpio, A. Prados, A. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Rosales, Rodolfo R. Bonilla, L. L. Carpio, A. Prados, A. |
| author_sort | Rosales, Rodolfo R. |
| collection | MIT |
| description | Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, there appears an equilibrium, time-independent, rippled state in the string that is accompanied by a nonzero spin polarization. On the other hand, the system is shown to form “metastable,” nonequilibrium long-lived ripples in the string for slow spin relaxation. The system vibrates rapidly about these quasistationary states, which can be described as snapshots of a coarse-grained stroboscopic map. For moderate observation times, ripples are observed irrespective of the final thermodynamically stable state (rippled or not). Interestingly, the system can be considered as a “minimal” model to understand rippling in clamped graphene sheets. |
| first_indexed | 2024-09-23T08:40:13Z |
| format | Article |
| id | mit-1721.1/71288 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:40:13Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/712882022-09-23T13:43:31Z Ripples in a string coupled to Glauber spins Rosales, Rodolfo R. Bonilla, L. L. Carpio, A. Prados, A. Massachusetts Institute of Technology. Department of Mathematics Rosales, Rodolfo R. Rosales, Rodolfo R. Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, there appears an equilibrium, time-independent, rippled state in the string that is accompanied by a nonzero spin polarization. On the other hand, the system is shown to form “metastable,” nonequilibrium long-lived ripples in the string for slow spin relaxation. The system vibrates rapidly about these quasistationary states, which can be described as snapshots of a coarse-grained stroboscopic map. For moderate observation times, ripples are observed irrespective of the final thermodynamically stable state (rippled or not). Interestingly, the system can be considered as a “minimal” model to understand rippling in clamped graphene sheets. 2012-07-02T15:01:34Z 2012-07-02T15:01:34Z 2012-03 2012-02 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/71288 Bonilla, L. et al. “Ripples in a String Coupled to Glauber Spins.” Physical Review E 85.3 (2012). ©2012 American Physical Society https://orcid.org/0000-0002-8828-5930 en_US http://dx.doi.org/10.1103/PhysRevE.85.031125 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Rosales, Rodolfo R. Bonilla, L. L. Carpio, A. Prados, A. Ripples in a string coupled to Glauber spins |
| title | Ripples in a string coupled to Glauber spins |
| title_full | Ripples in a string coupled to Glauber spins |
| title_fullStr | Ripples in a string coupled to Glauber spins |
| title_full_unstemmed | Ripples in a string coupled to Glauber spins |
| title_short | Ripples in a string coupled to Glauber spins |
| title_sort | ripples in a string coupled to glauber spins |
| url | http://hdl.handle.net/1721.1/71288 https://orcid.org/0000-0002-8828-5930 |
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