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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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Official URL: https://doi.org/10.1007/s00029-021-00701-x

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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
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > 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
Dates:
DateEvent
24 August 2021Published
16 July 2021Accepted
Volume: 27
Article Number: 84
DOI: 10.1007/s00029-021-00701-x
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): 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
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
639046Horizon 2020 Framework Programmehttp://dx.doi.org/10.13039/100010661
MR/S016325/1UK Research and Innovationhttp://dx.doi.org/10.13039/100014013
ANR-16-CE93-000[ANR] Agence Nationale de la Recherchehttp://dx.doi.org/10.13039/501100001665
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