Molecular dynamics simulations of ballistic annihilation

Abstract

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.

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

References in corpus (6)

• Scaling Theory and Exactly Solved Models In the Kinetics of Irreversible Aggregation
• How to Simulate Billiards and Similar Systems
• Event-Driven Molecular Dynamics in Parallel
• Correlations in Ballistic Processes
• Dynamics of ballistic annihilation
• Maxwell and very hard particle models for probabilistic ballistic annihilation: hydrodynamic description

Cited by in corpus (5)

• Ballistic Aggregation in Systems of Inelastic Particles: Cluster growth, structure and aging
• Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics
• Dynamics of Annihilation II: Fluctuations of Global Quantities
• Heat conduction and diffusion of hard disks in a narrow channel
• The crystallization of hard disks induced by a temperature gradient