Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

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) and of their typical velocity (v(t)∼ t). 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.


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