Exact hydrodynamics and onset of phase separation for an active exclusion process
We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume exclusion results in nonlinear mobility dependent on spatial den...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Royal Society
2023
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| _version_ | 1811141328988274688 |
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| author | Mason, J Erignoux, C Jack, RL Bruna, M |
| author_facet | Mason, J Erignoux, C Jack, RL Bruna, M |
| author_sort | Mason, J |
| collection | OXFORD |
| description | We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume exclusion results in nonlinear mobility dependent on spatial density. Such models of active matter can support motility-induced phase separation, which occurs despite the absence of attractive interactions. We study the onset of phase separation with linear stability analysis and numerical simulations. |
| first_indexed | 2024-09-25T04:36:08Z |
| format | Journal article |
| id | oxford-uuid:4a831ea6-0102-4288-afa8-1344c3fb3fa5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:36:08Z |
| publishDate | 2023 |
| publisher | Royal Society |
| record_format | dspace |
| spelling | oxford-uuid:4a831ea6-0102-4288-afa8-1344c3fb3fa52024-09-20T14:46:09ZExact hydrodynamics and onset of phase separation for an active exclusion processJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4a831ea6-0102-4288-afa8-1344c3fb3fa5EnglishSymplectic ElementsRoyal Society2023Mason, JErignoux, CJack, RLBruna, MWe consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume exclusion results in nonlinear mobility dependent on spatial density. Such models of active matter can support motility-induced phase separation, which occurs despite the absence of attractive interactions. We study the onset of phase separation with linear stability analysis and numerical simulations. |
| spellingShingle | Mason, J Erignoux, C Jack, RL Bruna, M Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title | Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title_full | Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title_fullStr | Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title_full_unstemmed | Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title_short | Exact hydrodynamics and onset of phase separation for an active exclusion process |
| title_sort | exact hydrodynamics and onset of phase separation for an active exclusion process |
| work_keys_str_mv | AT masonj exacthydrodynamicsandonsetofphaseseparationforanactiveexclusionprocess AT erignouxc exacthydrodynamicsandonsetofphaseseparationforanactiveexclusionprocess AT jackrl exacthydrodynamicsandonsetofphaseseparationforanactiveexclusionprocess AT brunam exacthydrodynamicsandonsetofphaseseparationforanactiveexclusionprocess |