Molecular dynamics simulations of ballistic annihilation

Details Molecular dynamics simulations of ballistic annihilation Molecular dynamics simulations of ballistic annihilation

2005-11-23

arxiv.org/abs/cond-mat/0511561v2

Phys. Rev. E 73, 032102 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 pages; some changes; Physical Review E (in press)

Scientific paper

10.1103/PhysRevE.73.032102

Using event-driven molecular dynamics we study one- and two-dimensional ballistic annihilation. We estimate exponents $\xi$ and $\gamma$ that describe the long-time decay of the number of particles ($n(t)\sim t^{-\xi}$) and of their typical velocity ($v(t)\sim t^{-\gamma}$). To a good accuracy our results confirm the scaling relation $\xi + \gamma =1$. In the two-dimensional case our results are in a good agreement with those obtained from the Boltzmann kinetic theory.

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