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http://hdl.handle.net/2289/8347
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DC Field | Value | Language |
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dc.contributor.author | Nath, Sujit Kumar | - |
dc.contributor.author | Sabhapandit, Sanjib | - |
dc.date.accessioned | 2024-10-23T10:44:32Z | - |
dc.date.available | 2024-10-23T10:44:32Z | - |
dc.date.issued | 2024-09-30 | - |
dc.identifier.citation | Journal of Statistical Mechanics: Theory and Experiment, 2024, Vol. 2024, 093205 | en_US |
dc.identifier.uri | http://hdl.handle.net/2289/8347 | - |
dc.description | Open Access | en_US |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | IOP Publishing Ltd. | en_US |
dc.relation.uri | https://arxiv.org/abs/2405.18988# | en_US |
dc.relation.uri | https://doi.org/10.1088/1742-5468/ad6c2c | en_US |
dc.relation.uri | https://ui.adsabs.harvard.edu/abs/2024JSMTE2024i3205K/abstract | en_US |
dc.rights | 2024 The Author(s) | en_US |
dc.title | Survival probability and position distribution of a run and tumble particle in U(x) = α|x| potential with an absorbing boundary | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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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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