Abstract
The present work is a critical analysis of the current state of the microscopic theory of shock compression of ideal nonconducting crystals, complemented by new results. In the work there are systematic discussions of the oscillational ''responses'' of periodic atomic structures to a discontinuous change in the boundary conditions at zero temperature, the influence of thermal fluctuations on the dissipation and establishment of steady conditions of wavefront propagation, the energy distribution between determinate and stochastic oscillations, and also the results of molecular-dynamic modeling, considered principally in the context of the question of the satisfaction of Huygens' relations. In the concluding section general conclusions from the analysis are given and the basic directions for further investigation are briefly formulated.
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