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http://hdl.handle.net/2289/7197Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Dhar, Abhishek | - |
| dc.contributor.author | Kundu, Anupam | - |
| dc.contributor.author | Sabhapandit, Sanjib | - |
| dc.contributor.author | Majumdar, Satya N | - |
| dc.contributor.author | Schehr, Grégory | - |
| dc.date.accessioned | 2019-05-03T18:24:18Z | - |
| dc.date.available | 2019-05-03T18:24:18Z | - |
| dc.date.issued | 2019 | - |
| dc.identifier.citation | Physical Review E, 2018, Vol.99, p032132 | en_US |
| dc.identifier.issn | 2470-0045 | - |
| dc.identifier.issn | 2470-0053 (Online) | - |
| dc.identifier.uri | http://hdl.handle.net/2289/7197 | - |
| dc.description | Open Access | en_US |
| dc.description.abstract | We study the dynamics of a one-dimensional run-and-tumble particle subjected to confining potentials of the type V (x) = α |x| p, with p > 0. The noise that drives the particle dynamics is telegraphic and alternates between ±1 values. We show that the stationary probability density P(x) has a rich behavior in the (p, α) plane. For p > 1, the distribution has a finite support in [x−, x+] and there is a critical line αc (p) that separates an activelike phase for α>αc (p) where P(x) diverges at x±, from a passivelike phase for α<αc (p) where P(x) vanishes at x±. For p < 1, the stationary density P(x) collapses to a delta function at the origin, P(x) = δ(x). In the marginal case p = 1, we show that, for α<αc, the stationary density P(x) is a symmetric exponential, while for α>αc, it again is a delta function P(x) = δ(x). For the harmonic case p = 2, we obtain exactly the full time-dependent distribution P(x,t), which allows us to study how the system relaxes to its stationary state. In addition, for this p = 2 case, we also study analytically the full distribution of the first-passage time to the origin. Numerical simulations are in complete agreement with our analytical predictions. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | American Physical Society | en_US |
| dc.relation.uri | https://arxiv.org/abs/1811.03808 | en_US |
| dc.relation.uri | https://doi.org/10.1103/PhysRevE.99.032132 | en_US |
| dc.rights | 2019 American Physical Society | en_US |
| dc.title | Run-and-tumble particle in one-dimensional confining potentials: Steady-state, relaxation, and first-passage properties | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018_PhysRevE_Vol.99_p032132.pdf Restricted Access | Open Access | 1.14 MB | Adobe PDF | View/Open Request a copy |
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