One-dimensional classical model of crystal lattice dynamics taking into account the retardation of interactions
https://doi.org/10.34680/2076-8052.2022.3(128).11-14
Abstract
The dynamics of oscillations of a one-dimensional atomic chain is investigated in the harmonic approximation, taking into account the retardation of interatomic interactions. It is found that the retardation of interactions between particles leads to a radical restructuring of the dynamics of a one-dimensional harmonic chain. In particular, due to the retardation of interactions, stationary free oscillations in the atomic chain are impossible. A criterion for the absence of growing oscillations in the system has been obtained, and this criterion is a condition for the stability of the chain. It is shown that when a stable chain of particles with retarded interactions between them is immersed in an alternating external field, the system passes into a stationary state, which depends both on the properties of the system and on the characteristics of the external field. This stationary state has been interpreted as a dynamic equilibrium between an atomic chain and an external field.
About the Authors
A. Yu. Zakharov
Новгородский государственный университет имени Ярослава Мудрого
Russian Federation
Russian Federation
M. A. Zakharov
Новгородский государственный университет имени Ярослава Мудрого
Russian Federation
Russian Federation
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Review
For citations:
Zakharov A.Yu., Zakharov M.A. One-dimensional classical model of crystal lattice dynamics taking into account the retardation of interactions. Title in english. 2022;(3(128)):11-14. (In Russ.) https://doi.org/10.34680/2076-8052.2022.3(128).11-14
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