Molecular dynamics simulations of ballistic annihilation
A. Lipowski1 , D. Lipowska2 , A. L. Ferreira3
1 Faculty of Physics Department of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland
2 Institute of Linguistics, Adam Mickiewicz University, 60-371 Poznań, Poland
3 Department of Physics, University of Aveiro, 3810 Aveiro, Portugal
Physical Review E, 73 032102-1 - 032102-4 (2006)
Using event-driven molecular dynamics we study one- and two-dimensional ballistic annihilation. We estimate exponents ξ and γ that describe the long-time decay of the number of particles (n(t)∼ t-ξ) and of their typical velocity (v(t)∼ t-γ). To a good accuracy our results confirm the scaling relation ξ + γ =1. In the two-dimensional case our results are in a good agreement with those obtained from the Boltzmann kinetic theory.