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http://hdl.handle.net/2289/7094Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Das, Santanu | - |
| dc.contributor.author | Dhar, Deepak | - |
| dc.contributor.author | Sabhapandit, Sanjib | - |
| dc.date.accessioned | 2018-12-04T19:06:49Z | - |
| dc.date.available | 2018-12-04T19:06:49Z | - |
| dc.date.issued | 2018-11-20 | - |
| dc.identifier.citation | Physical Review E, 2017, Vol.98, p052122 | en_US |
| dc.identifier.issn | 2470-0053 (Online) | - |
| dc.identifier.issn | 2470-0045 | - |
| dc.identifier.uri | http://hdl.handle.net/2289/7094 | - |
| dc.description | Open Access | en_US |
| dc.description.abstract | We consider a minimalist model of overtaking dynamics in one dimension. On each site of a one-dimensional infinite lattice sits an agent carrying a random number specifying the agent's preferred velocity, which is drawn initially for each agent independently from a common distribution. The time evolution is Markovian, where a pair of agents at adjacent sites exchange their positions with a specified rate, while retaining their respective preferred velocities, only if the preferred velocity of the agent on the “left” site is higher. We discuss two different cases: one in which a pair of agents at sites i and i + 1 exchange their positions with rate 1, independent of their velocity difference, and another in which a pair exchange their positions with a rate equal to the modulus of the velocity difference. In both cases, we find that the net number of overtake events by a tagged agent in a given duration t, denoted by m(t), increases linearly with time t, for large t. In the first case, for a randomly picked agent, m/t, in the limit t→∞, is distributed uniformly on [−1,1], independent of the distributions of preferred velocities. In the second case, the distribution is given by the distribution of the preferred velocities itself, with a Galilean shift by the mean velocity. We also find the large time approach to the limiting forms and compare the results with numerical simulations. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | American Physical Society | en_US |
| dc.relation.uri | http://adsabs.harvard.edu/abs/2018PhRvE..98e2122D | en_US |
| dc.relation.uri | https://doi.org/10.1103/PhysRevE.98.052122 | en_US |
| dc.relation.uri | https://arxiv.org/abs/1804.07280 | en_US |
| dc.rights | 2018 American Physical Society | en_US |
| dc.title | Statistics of overtake events by a tagged agent | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Papers (TP) | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018_PhysRevE_Vol.98_p052122.pdf Restricted Access | Open Access | 572.8 kB | Adobe PDF | View/Open Request a copy |
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