Stochastic ballistic annihilation and coalescence

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Abstract

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

  • ANALYTIC APPROACH
  • REACTION-KINETICS
  • GAS

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