Probabilistic ballistic annihilation with continuous velocity distributions
نویسندگان
چکیده
منابع مشابه
Probabilistic ballistic annihilation with continuous velocity distributions.
We investigate the problem of ballistically controlled reactions where particles either annihilate upon collision with probability p, or undergo an elastic shock with probability 1-p. Restricting to homogeneous systems, we provide in the scaling regime that emerges in the long time limit, analytical expressions for the exponents describing the time decay of the density and the root-mean-square ...
متن کاملBallistic annihilation kinetics: The case of discrete velocity distributions.
The kinetics of the annihilation process, A + A → 0, with ballistic particle motion is investigated when the distribution of particle velocities is discrete. This discreteness is the source of many intriguing phenomena. In the mean field limit, the densities of different velocity species decay in time with different power law rates for many initial conditions. For a onedimensional symmetric sys...
متن کاملHydrodynamics of probabilistic ballistic annihilation.
We consider a dilute gas of hard spheres in dimension d> or =2 that upon collision either annihilate with probability p or undergo an elastic scattering with probability 1-p . For such a system neither mass, momentum, nor kinetic energy is a conserved quantity. We establish the hydrodynamic equations from the Boltzmann equation description. Within the Chapman-Enskog scheme, we determine the tra...
متن کاملDynamics of ballistic annihilation.
The problem of ballistically controlled annihilation is revisited for general initial velocity distributions and an arbitrary dimension. An analytical derivation of the hierarchy equations obeyed by the reduced distributions is given, and a scaling analysis of the corresponding spatially homogeneous system is performed. This approach points to the relevance of the nonlinear Boltzmann equation f...
متن کاملDecay Kinetics in Ballistic Annihilation
For irreversible diffusion-controlled reactions, it is now widely appreciated that the density decays more slowly than the predictions of mean-field theory in sufficiently low spatial dimension. For two-species annihilation, this behavior is accompanied by the dynamic formation of large-scale spatial heterogeneities in an initially homogeneous system [1]. The contrasting situation where the rea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.011303