Search for universality in one-dimensional ballistic annihilation kinetics
arXiv:cond-mat/9708138 · doi:10.1103/PhysRevE.57.138
Abstract
We study the kinetics of ballistic annihilation for a one-dimensional ideal gas with continuous velocity distribution. A dynamical scaling theory for the long time behavior of the system is derived. Its validity is supported by extensive numerical simulations for several velocity distributions. This leads us to the conjecture that all the continuous velocity distributions ϕ(v) which are symmetric, regular and such that ϕ(0) does not vanish, are attracted in the long time regime towards the same Gaussian distribution and thus belong to the same universality class. Moreover, it is found that the particle density decays as n(t)~t^{-α}, with α=0.785 +/- 0.005.
8 pages, needs multicol, epsf and revtex. 8 postscript figures included. Submitted to Phys. Rev. E. Also avaiable at http://mykonos.unige.ch/~rey/publi.html#Second
Cited by in corpus (10)
- Ballistic Annihilation
- Kinetics and scaling in ballistic annihilation
- Dynamics of ballistic annihilation
- Maxwell and very hard particle models for probabilistic ballistic annihilation: hydrodynamic description
- Hydrodynamics of probabilistic ballistic annihilation
- Molecular dynamics simulations of ballistic annihilation
- Stochastic Aggregation: Scaling Properties
- Some exact results for Boltzmann's annihilation dynamics
- Reaction Diffusion and Ballistic Annihilation Near an Impenetrable Boundary
- Kinetics of ballistic annihilation and branching