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http://hdl.handle.net/2289/8347| Title: | Survival probability and position distribution of a run and tumble particle in U(x) = α|x| potential with an absorbing boundary |
| Authors: | Nath, Sujit Kumar Sabhapandit, Sanjib |
| Issue Date: | 30-Sep-2024 |
| Publisher: | IOP Publishing Ltd. |
| Citation: | Journal of Statistical Mechanics: Theory and Experiment, 2024, Vol. 2024, 093205 |
| Abstract: | We study the late-time exponential decay of the survival probability [ image ], of a one-dimensional run-and-tumble particle starting from [ image ] with an initial orientation [ image ], under a confining potential [ image ] with an absorbing boundary at [ image ]. We find that the decay rate [ image ] of the survival probability has a strong dependence on the location a of the absorbing boundary, which undergoes a freezing transition at a critical value [ image ], where [ image ] is the self-propulsion speed and γ is the tumbling rate of the particle. For [ image ], the value of [ image ] increases monotonically from zero, as a decreases from infinity, until it attains the maximum value [ image ] at [ image ]. For [ image ], the value of [ image ] freezes to the value [ image ]. We also obtain the propagator with the absorbing boundary condition at x = a. Our analytical results are supported by numerical simulations. |
| Description: | Open Access |
| URI: | http://hdl.handle.net/2289/8347 |
| Alternative Location: | https://arxiv.org/abs/2405.18988# https://doi.org/10.1088/1742-5468/ad6c2c https://ui.adsabs.harvard.edu/abs/2024JSMTE2024i3205K/abstract |
| Copyright: | 2024 The Author(s) |
| Appears in Collections: | Research Papers (TP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2024_J._Stat._Mech._2024_093205.pdf Restricted Access | Open Access | 1.01 MB | Adobe PDF | View/Open Request a copy |
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