Glassy slowdown and replica-symmetry-breaking instantons
Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These cooperative rearrangements are well modeled by instantons in a...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/96374 https://orcid.org/0000-0003-0421-4818 https://orcid.org/0000-0003-2606-7812 https://orcid.org/0000-0002-8910-0950 |
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| author | Adams, Allan Anous, Tarek Lee, Jaehoon Yaida, Sho |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Adams, Allan Anous, Tarek Lee, Jaehoon Yaida, Sho |
| author_sort | Adams, Allan |
| collection | MIT |
| description | Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These cooperative rearrangements are well modeled by instantons in a replica effective field theory, with the size of the dominant instanton encoding the liquid's cavity point-to-set correlation length. Varying the parameters of the effective theory corresponds to varying the statistics of the underlying free-energy landscape. We demonstrate that, for a wide range of parameters, replica-symmetry-breaking instantons dominate. The detailed structure of the dominant instanton provides a rich window into point-to-set correlations and glassy dynamics. |
| first_indexed | 2024-09-23T16:01:42Z |
| format | Article |
| id | mit-1721.1/96374 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:01:42Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/963742022-09-29T17:43:59Z Glassy slowdown and replica-symmetry-breaking instantons Adams, Allan Anous, Tarek Lee, Jaehoon Yaida, Sho Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Adams, Allan Anous, Tarek Lee, Jaehoon Yaida, Sho Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These cooperative rearrangements are well modeled by instantons in a replica effective field theory, with the size of the dominant instanton encoding the liquid's cavity point-to-set correlation length. Varying the parameters of the effective theory corresponds to varying the statistics of the underlying free-energy landscape. We demonstrate that, for a wide range of parameters, replica-symmetry-breaking instantons dominate. The detailed structure of the dominant instanton provides a rich window into point-to-set correlations and glassy dynamics. United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360) Samsung (Firm) (Fellowship) Alfred P. Sloan Foundation Seventh Framework Programme (European Commission) (ERC Grant Agreement 306845) 2015-04-03T17:17:23Z 2015-04-03T17:17:23Z 2015-03 2015-02 2015-03-30T22:00:02Z Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/96374 Adams, Allan, Tarek Anous, Jaehoon Lee, and Sho Yaida. "Glassy slowdown and replica-symmetry-breaking instantons." Phys. Rev. E 91, 032148 (March 2015). © 2015 American Physical Society https://orcid.org/0000-0003-0421-4818 https://orcid.org/0000-0003-2606-7812 https://orcid.org/0000-0002-8910-0950 en http://dx.doi.org/10.1103/PhysRevE.91.032148 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Adams, Allan Anous, Tarek Lee, Jaehoon Yaida, Sho Glassy slowdown and replica-symmetry-breaking instantons |
| title | Glassy slowdown and replica-symmetry-breaking instantons |
| title_full | Glassy slowdown and replica-symmetry-breaking instantons |
| title_fullStr | Glassy slowdown and replica-symmetry-breaking instantons |
| title_full_unstemmed | Glassy slowdown and replica-symmetry-breaking instantons |
| title_short | Glassy slowdown and replica-symmetry-breaking instantons |
| title_sort | glassy slowdown and replica symmetry breaking instantons |
| url | http://hdl.handle.net/1721.1/96374 https://orcid.org/0000-0003-0421-4818 https://orcid.org/0000-0003-2606-7812 https://orcid.org/0000-0002-8910-0950 |
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