Stochastic ballistic annihilation and coalescence

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We study a class of stochastic ballistic annihilation and coalescence models with a binary velocity distribution in one dimension. We obtain an exact solution for the density which reveals a universal phase diagram for the asymptotic density decay. By universal we mean that all models in the class are described by a single phase diagram spanned by two reduced parameters. The phase diagram reveals four regimes, two of which contain the previously studied cases of ballistic annihilation. The two new phases are a direct consequence of the stochasticity. The solution is obtained through a matrix product approach and builds on properties of a q-deformed harmonic oscillator algebra.

Original languageEnglish
Pages (from-to)3750-3753
Number of pages4
JournalPhysical Review Letters
Volume85
Issue number18
DOIs
Publication statusPublished - 30 Oct 2000

Keywords / Materials (for Non-textual outputs)

  • ANALYTIC APPROACH
  • REACTION-KINETICS
  • GAS

Fingerprint

Dive into the research topics of 'Stochastic ballistic annihilation and coalescence'. Together they form a unique fingerprint.

Cite this