Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations
We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a d-dimensional harmonic trap, modeling active speed generation through an Ornstein-Uhlenbeck process. Our approach employs an exact analytic met...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-02-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013126 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832542805633794048 |
|---|---|
| author | Manish Patel Amir Shee Debasish Chaudhuri |
| author_facet | Manish Patel Amir Shee Debasish Chaudhuri |
| author_sort | Manish Patel |
| collection | DOAJ |
| description | We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a d-dimensional harmonic trap, modeling active speed generation through an Ornstein-Uhlenbeck process. Our approach employs an exact analytic method based on the Fokker-Planck equation to compute time-dependent moments of any dynamical variable of interest across arbitrary dimensions. We analyze dynamical crossovers in particle displacement before reaching the steady state, focusing on three key timescales: speed relaxation, persistence, and dynamical relaxation in the trap. Notably, for slow active speed relaxation, we observe an intermediate-time metastable saturation in the mean-squared displacement before reaching the final steady state. The steady-state distributions of particle positions exhibit two types of non-Gaussian departures based on control parameters: bimodal distributions with negative excess kurtosis and heavy-tailed unimodal distributions with positive excess kurtosis. We obtain detailed steady-state phase diagrams using the exact calculation of excess kurtosis, identifying Gaussian and non-Gaussian regions and potential re-entrant transitions. |
| format | Article |
| id | doaj-art-197957262fbc4870a4c935bce0b4f8cf |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-197957262fbc4870a4c935bce0b4f8cf2025-02-03T15:01:09ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101312610.1103/PhysRevResearch.7.013126Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuationsManish PatelAmir SheeDebasish ChaudhuriWe explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a d-dimensional harmonic trap, modeling active speed generation through an Ornstein-Uhlenbeck process. Our approach employs an exact analytic method based on the Fokker-Planck equation to compute time-dependent moments of any dynamical variable of interest across arbitrary dimensions. We analyze dynamical crossovers in particle displacement before reaching the steady state, focusing on three key timescales: speed relaxation, persistence, and dynamical relaxation in the trap. Notably, for slow active speed relaxation, we observe an intermediate-time metastable saturation in the mean-squared displacement before reaching the final steady state. The steady-state distributions of particle positions exhibit two types of non-Gaussian departures based on control parameters: bimodal distributions with negative excess kurtosis and heavy-tailed unimodal distributions with positive excess kurtosis. We obtain detailed steady-state phase diagrams using the exact calculation of excess kurtosis, identifying Gaussian and non-Gaussian regions and potential re-entrant transitions.http://doi.org/10.1103/PhysRevResearch.7.013126 |
| spellingShingle | Manish Patel Amir Shee Debasish Chaudhuri Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations Physical Review Research |
| title | Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations |
| title_full | Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations |
| title_fullStr | Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations |
| title_full_unstemmed | Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations |
| title_short | Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations |
| title_sort | dynamical metastability and re entrant localization of trapped active elements with speed and orientation fluctuations |
| url | http://doi.org/10.1103/PhysRevResearch.7.013126 |
| work_keys_str_mv | AT manishpatel dynamicalmetastabilityandreentrantlocalizationoftrappedactiveelementswithspeedandorientationfluctuations AT amirshee dynamicalmetastabilityandreentrantlocalizationoftrappedactiveelementswithspeedandorientationfluctuations AT debasishchaudhuri dynamicalmetastabilityandreentrantlocalizationoftrappedactiveelementswithspeedandorientationfluctuations |