Vol 43, No 9 (2016)

The present report is devoted to the discussion of the properties of two equations relatively long ago proposed by B. B. Kadomtsev for the nonlinear theory of ion-acoustic plasma turbulence and some results of their solutions. We concern with these equations as objects of mathematical physics, focusing attention to both the approach to their study and arising numerical results.

The possibility of spatial homogenization of the cryogenic hydrogen fuel structure in laser thermonuclear targets is considered. The results of a large cycle of experimental studies on low-temperature (T = 4.2 K) phonon modulation of the structure of solid hydrogen layers with various ortho-para compositions and its effect on the homogenization process rate are presented.

Using the molecular dynamics method, heterogeneous melting–crystallization of aluminum is simulated under conditions when the phase front propagates over the overheated-overcooled phase. The dependence of the phase front velocity on the temperature deviation from the equilibrium melting temperature is determined. The dependence obtained from atomistic simulation is used as an approximating function to obtain the temperature dependence of the kinetic rate in the analytical form. The steady-state temperature dependence of the kinetic rate v(T_sℓ) for extreme values of aluminum overheating-overcooling is constructed for the first time.