title: Hydrodynamics of probabilistic ballistic annihilation.
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.
authors.affiliation: Department of Theoretical Physics, University of Genève, CH-1211 Genève 4, Switzerland.
authors.forename: François
authors.initials: F
authors.lastname: Coppex
authors.forename: Michel
authors.initials: M
authors.lastname: Droz
authors.forename: Emmanuel
authors.initials: E
authors.lastname: Trizac