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  • Title: Hydrodynamics of probabilistic ballistic annihilation.
    Author: Coppex F, Droz M, Trizac E.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2004 Dec; 70(6 Pt 1):061102. PubMed ID: 15697336.
    Abstract:
    We consider a dilute gas of hard spheres in dimension d> or =2 that upon collision either annihilate with probability p or undergo an elastic scattering with probability 1-p . For such a system neither mass, momentum, nor kinetic energy is a conserved quantity. We establish the hydrodynamic equations from the Boltzmann equation description. Within the Chapman-Enskog scheme, we determine the transport coefficients up to Navier-Stokes order, and give the closed set of equations for the hydrodynamic fields chosen for the above coarse-grained description (density, momentum, and kinetic temperature). Linear stability analysis is performed, and the conditions of stability for the local fields are discussed.
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