Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation
© 2019 American Physical Society. Directed percolation (DP) is a classic model for nonequilibrium phase transitions into a single absorbing state (fixation). It has been extensively studied by analytical and numerical techniques in diverse contexts. Recently, DP has appeared as a generic model for t...
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| Format: | Article |
| Language: | English |
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American Physical Society (APS)
2021
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| Online Access: | https://hdl.handle.net/1721.1/136177 |
| _version_ | 1811076426011508736 |
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| author | Horowitz, Jordan M Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Horowitz, Jordan M Kardar, Mehran |
| author_sort | Horowitz, Jordan M |
| collection | MIT |
| description | © 2019 American Physical Society. Directed percolation (DP) is a classic model for nonequilibrium phase transitions into a single absorbing state (fixation). It has been extensively studied by analytical and numerical techniques in diverse contexts. Recently, DP has appeared as a generic model for the evolutionary and ecological dynamics of competing bacterial populations. Range expansion - the stochastic reproduction of bacteria competing for space to be occupied by their progeny - leads to a fluctuating and rough growth front, which is known from experiment and simulation to affect the underlying critical behavior of the DP transition. In this work, we employ symmetry arguments to construct a pair of nonlinear stochastic partial differential equations describing the coevolution of surface roughness with the composition field of DP. Macroscopic manifestations (phenomenology) of these equations on growth patterns and genealogical tracks of range expansion are discussed; followed by a renormalization group analysis of possible scaling behaviors at the DP transition. |
| first_indexed | 2024-09-23T10:21:42Z |
| format | Article |
| id | mit-1721.1/136177 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:21:42Z |
| publishDate | 2021 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1361772023-09-28T19:48:37Z Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation Horowitz, Jordan M Kardar, Mehran Massachusetts Institute of Technology. Department of Physics © 2019 American Physical Society. Directed percolation (DP) is a classic model for nonequilibrium phase transitions into a single absorbing state (fixation). It has been extensively studied by analytical and numerical techniques in diverse contexts. Recently, DP has appeared as a generic model for the evolutionary and ecological dynamics of competing bacterial populations. Range expansion - the stochastic reproduction of bacteria competing for space to be occupied by their progeny - leads to a fluctuating and rough growth front, which is known from experiment and simulation to affect the underlying critical behavior of the DP transition. In this work, we employ symmetry arguments to construct a pair of nonlinear stochastic partial differential equations describing the coevolution of surface roughness with the composition field of DP. Macroscopic manifestations (phenomenology) of these equations on growth patterns and genealogical tracks of range expansion are discussed; followed by a renormalization group analysis of possible scaling behaviors at the DP transition. 2021-10-27T20:34:06Z 2021-10-27T20:34:06Z 2019 2021-06-22T17:17:05Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136177 en 10.1103/PHYSREVE.99.042134 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) APS |
| spellingShingle | Horowitz, Jordan M Kardar, Mehran Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title | Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title_full | Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title_fullStr | Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title_full_unstemmed | Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title_short | Bacterial range expansions on a growing front: Roughness, fixation, and directed percolation |
| title_sort | bacterial range expansions on a growing front roughness fixation and directed percolation |
| url | https://hdl.handle.net/1721.1/136177 |
| work_keys_str_mv | AT horowitzjordanm bacterialrangeexpansionsonagrowingfrontroughnessfixationanddirectedpercolation AT kardarmehran bacterialrangeexpansionsonagrowingfrontroughnessfixationanddirectedpercolation |