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Three-speed ballistic annihilation : phase transition and universality
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Haslegrave, John, Sidoravicius, Vladas and Tournier, Laurent (2021) Three-speed ballistic annihilation : phase transition and universality. Selecta Mathematica, 27 . 84. doi:10.1007/s00029-021-00701-x
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WRAP-three-speed-ballistic-annihilation-phase-transition-universality-Haslegrave-2021.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only until 24 August 2022. Contact author directly, specifying your specific needs. - Requires a PDF viewer. Download (1188Kb) |
Official URL: https://doi.org/10.1007/s00029-021-00701-x
Abstract
We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980’s physics literature. In this particle system, initial locations are given by a renewal process on the line, motions are ballistic—i.e. each particle is assigned a constant velocity, chosen independently and with identical distribution—and collisions between pairs of particles result in mutual annihilation. We focus on the case when the velocities are symmetrically distributed among three values, i.e. particles either remain static (with given probability p) or move at constant velocity uniformly chosen among
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Phase transformations (Statistical physics) , Poisson processes , Singularities (Mathematics) , Random walks (Mathematics) | ||||||||||||
| Journal or Publication Title: | Selecta Mathematica | ||||||||||||
| Publisher: | Birkhauser Verlag AG | ||||||||||||
| ISSN: | 1022-1824 | ||||||||||||
| Official Date: | 24 August 2021 | ||||||||||||
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| Volume: | 27 | ||||||||||||
| Article Number: | 84 | ||||||||||||
| DOI: | 10.1007/s00029-021-00701-x | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Publisher Statement: | This is a post-peer-review, pre-copyedit version of an article published in Selecta Mathematica. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00029-021-00701-x | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
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