TY - JOUR

T1 - High-rate deformation of condensed matter followed by self-organization on the mesooscale

AU - Хантулева, Татьяна Александровна

PY - 2022

Y1 - 2022

N2 - The purpose of the paper is to demonstrate the advantages of the developed self-consistent non-local approach to the description of processes in condensed matter far from local thermodynamic equilibrium and new opportunities for understanding and practical use of such phenomena as self-organization, multi-scale energy exchange and turbulence. This interdisciplinary approach, based on rigorous results obtained in non-equilibrium statistical mechanics with the use of feedback control laws, offers a universal mathematical apparatus for describing processes beyond the applicability of generally accepted theoretical models. Application of the methods developed in the control theory to describe high-rate processes in complex systems allows not only a prediction of the system properties under the action of external forces, but also to control them. The mathematical model of a highly non-equilibrium process makes it possible to describe a gradual transition from elastic compression of a medium through self-organization of turbulent structures in it to the establishment of a hydrodynamic flow, taking into account a complex of relaxation effects. Of greatest interest among the obtained results may be the solution of the problem on the propagation of a shock-induced pulse in a condensed medium, which is accompanied by the formation of new medium structures on the mesoscale.

AB - The purpose of the paper is to demonstrate the advantages of the developed self-consistent non-local approach to the description of processes in condensed matter far from local thermodynamic equilibrium and new opportunities for understanding and practical use of such phenomena as self-organization, multi-scale energy exchange and turbulence. This interdisciplinary approach, based on rigorous results obtained in non-equilibrium statistical mechanics with the use of feedback control laws, offers a universal mathematical apparatus for describing processes beyond the applicability of generally accepted theoretical models. Application of the methods developed in the control theory to describe high-rate processes in complex systems allows not only a prediction of the system properties under the action of external forces, but also to control them. The mathematical model of a highly non-equilibrium process makes it possible to describe a gradual transition from elastic compression of a medium through self-organization of turbulent structures in it to the establishment of a hydrodynamic flow, taking into account a complex of relaxation effects. Of greatest interest among the obtained results may be the solution of the problem on the propagation of a shock-induced pulse in a condensed medium, which is accompanied by the formation of new medium structures on the mesoscale.

KW - non-equilibrium, nonlocal, feedback control, self-organization, turbulent, mesoscale

M3 - Article

VL - 8

SP - 13

EP - 38

JO - International Journal of Thermodynamics and Chemical Kinetics

JF - International Journal of Thermodynamics and Chemical Kinetics

SN - 2456-6977

IS - 2

ER -