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Molecular dynamics simulations of ballistic annihilation

Adam Lipowski·Dorota Lipowska·Antonio L. Ferreira
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Abstract

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 ($n(t)\sim t^{-ξ}$) and of their typical velocity ($v(t)\sim t^{-γ}$). 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.

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Adam Lipowski, Dorota Lipowska, Antonio L. Ferreira. 2006-03-06. Molecular dynamics simulations of ballistic annihilation. https://doi.org/10.1103/physreve.73.032102

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