Physics – Condensed Matter
Scientific paper
1994-12-14
Phys. Rev. E 51, 3977 (1995)
Physics
Condensed Matter
18 text pages, macro file included, hardcopy of 9 figures available by email request to SR
Scientific paper
10.1103/PhysRevE.51.3977
The kinetics of the annihilation process, $A+A\to 0$, with ballistic particle motion is investigated when the distribution of particle velocities is {\it 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 one-dimensional symmetric system containing particles with velocity 0 and $\pm 1$, there is a particular initial state for which the concentrations of all three species as decay as $t^{-2/3}$. For the case of a fast ``impurity'' in a symmetric background of $+$ and $-$ particles, the impurity survival probability decays as $\exp(-{\rm const.}\times \ln^2t)$. In a symmetric 4-velocity system in which there are particles with velocities $\pm v_1$ and $\pm v_2$, there again is a special initial condition where the two species decay at the same rate, $t^{-\a}$, with $\a\cong 0.72$. Efficient algorithms are introduced to perform the large-scale simulations necessary to observe these unusual phenomena clearly.
Krapivsky Paul. L.
Leyvraz Francois
Redner Sid
No associations
LandOfFree
Ballistic Annihilation Kinetics: The Case of Discrete Velocity Distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ballistic Annihilation Kinetics: The Case of Discrete Velocity Distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ballistic Annihilation Kinetics: The Case of Discrete Velocity Distributions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-420724