0000000000328902
AUTHOR
Yu. Skryl
Diffusion of point defects in shocked molecular crystals
The dynamic response of a molecular crystal containing defects to shock wave loading is modeled and the resulting diffusion of point defects is simulated. It is shown that diffusion proceeds not only via the stress assisted diffusion, which is point defect diffusion in a stress field, also known as the Gorsky effect, but also through defect diffusion in the field of inertial forces. The method for modeling diffusion of point defects in shocked solids is developed. It is shown that diffusion in the inertial field significantly exceeds the stress diffusion in organic molecular crystals. Interplay between stress-assisted and inertial diffusion leads to the separation of light particles from he…
Derivation of Hyperbolic Transfer Equations from BGK-Equation
We use the integral form of the Boltzmann equation which allows us to take into account the memory effects using the initial condition that selects the solutions going to the local equilibrium Maxwell distribution in the $t \to -\infty$ limit. Implementing the relaxation-time approximation for the collision integral (BGK-equation) we present the derivation of the hyperbolic Navier-Stokes and the hyperbolic heat conduction equations in the first order approximation. It is shown that the relaxation time in the obtained hyperbolic equations is the Maxwellian relaxation time. As special case we obtain the telegraph equation for the heat propagation in static medium and estimate the relaxation t…