Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-30
Phys. Rev. E 70, 061102 (2004)
Physics
Condensed Matter
Statistical Mechanics
19 pages, 3 eps figures included
Scientific paper
10.1103/PhysRevE.70.061102
We consider a dilute gas of hard spheres in dimension $d \geq 2$ 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 are conserved quantities. 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.
Coppex Francois
Droz Michel
Trizac Emmanuel
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