Molecular dynamics simulations of ballistic annihilation

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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.