# Probabilistic ballistic annihilation with continuous velocity distributions.

@article{Coppex2004ProbabilisticBA, title={Probabilistic ballistic annihilation with continuous velocity distributions.}, author={F. Coppex and M. Droz and E. Trizac}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2004}, volume={69 1 Pt 1}, pages={ 011303 } }

We investigate the problem of ballistically controlled reactions where particles either annihilate upon collision with probability p, or undergo an elastic shock with probability 1-p. Restricting to homogeneous systems, we provide in the scaling regime that emerges in the long time limit, analytical expressions for the exponents describing the time decay of the density and the root-mean-square velocity, as continuous functions of the probability p and of a parameter related to the dissipation… CONTINUE READING

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