Rare behavior of growth processes via umbrella sampling of trajectories
We compute probability distributions of trajectory observables for reversible and irreversible growth processes. These results reveal a correspondence between reversible and irreversible processes, at particular points in parameter space, in terms of their typical and atypical trajectories. Thus key...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/51137/ |
| _version_ | 1848798425869451264 |
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| author | Klymko, Katherine Geissler, Phillip L. Garrahan, Juan P. Whitelam, Stephen |
| author_facet | Klymko, Katherine Geissler, Phillip L. Garrahan, Juan P. Whitelam, Stephen |
| author_sort | Klymko, Katherine |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We compute probability distributions of trajectory observables for reversible and irreversible growth processes. These results reveal a correspondence between reversible and irreversible processes, at particular points in parameter space, in terms of their typical and atypical trajectories. Thus key features of growth processes can be insensitive to the precise form of the rate constants used to generate them, recalling the insensitivity to microscopic details of certain equilibrium behavior. We obtained these results using a sampling method, inspired by the “s-ensemble” large-deviation formalism, that amounts to umbrella sampling in trajectory space. The method is a simple variant of existing approaches, and applies to ensembles of trajectories controlled by the total number of events. It can be used to determine large-deviation rate functions for trajectory observables in or out of equilibrium. |
| first_indexed | 2025-11-14T20:19:34Z |
| format | Article |
| id | nottingham-51137 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:19:34Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-511372018-04-14T02:55:56Z https://eprints.nottingham.ac.uk/51137/ Rare behavior of growth processes via umbrella sampling of trajectories Klymko, Katherine Geissler, Phillip L. Garrahan, Juan P. Whitelam, Stephen We compute probability distributions of trajectory observables for reversible and irreversible growth processes. These results reveal a correspondence between reversible and irreversible processes, at particular points in parameter space, in terms of their typical and atypical trajectories. Thus key features of growth processes can be insensitive to the precise form of the rate constants used to generate them, recalling the insensitivity to microscopic details of certain equilibrium behavior. We obtained these results using a sampling method, inspired by the “s-ensemble” large-deviation formalism, that amounts to umbrella sampling in trajectory space. The method is a simple variant of existing approaches, and applies to ensembles of trajectories controlled by the total number of events. It can be used to determine large-deviation rate functions for trajectory observables in or out of equilibrium. American Physical Society 2018-03-19 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/51137/1/atypical-revised.pdf Klymko, Katherine, Geissler, Phillip L., Garrahan, Juan P. and Whitelam, Stephen (2018) Rare behavior of growth processes via umbrella sampling of trajectories. Physical Review E, 97 (3). 032123. ISSN 1550-2376 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.032123 doi:10.1103/PhysRevE.97.032123 doi:10.1103/PhysRevE.97.032123 |
| spellingShingle | Klymko, Katherine Geissler, Phillip L. Garrahan, Juan P. Whitelam, Stephen Rare behavior of growth processes via umbrella sampling of trajectories |
| title | Rare behavior of growth processes via umbrella sampling of trajectories |
| title_full | Rare behavior of growth processes via umbrella sampling of trajectories |
| title_fullStr | Rare behavior of growth processes via umbrella sampling of trajectories |
| title_full_unstemmed | Rare behavior of growth processes via umbrella sampling of trajectories |
| title_short | Rare behavior of growth processes via umbrella sampling of trajectories |
| title_sort | rare behavior of growth processes via umbrella sampling of trajectories |
| url | https://eprints.nottingham.ac.uk/51137/ https://eprints.nottingham.ac.uk/51137/ https://eprints.nottingham.ac.uk/51137/ |