Tensor field method in the linear response theory
https://doi.org/10.34680/2076-8052.2022.3(128).21-25
Abstract
A new method for calculating distribution functions characterizing the degree of heterogeneity of macroscopic media is proposed. The introduced distribution functions are based on the smoothing procedure for a certain volume. The volume value is selected depending on the task of the study. It is shown that the distribution functions can be expressed in terms of local tensor fields, the use of which simplifies the procedure for closing the hierarchy of kinetic equations due to the transparent physical meaning of tensor fields. Based on the proposed method, the linear response problem is considered and an analytical expression for the reaction of the local density of the medium to a small external mechanical disturbance has been obtained. It is shown that the derived expression for the density distribution coincides with the result of the calculations carried out on the basis of the generating functional in the ergodic Weyl approximation.
About the Authors
V. V. Zubkov
Тверской государственный университет
Russian Federation
Russian Federation
D. A. Mayfat
Тверской государственный университет
Russian Federation
Russian Federation
K. Yu. Yashkin
Тверской государственный университет
Russian Federation
Russian Federation
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For citations:
Zubkov V.V., Mayfat D.A., Yashkin K.Yu. Tensor field method in the linear response theory. Title in english. 2022;(3(128)):21-25. (In Russ.) https://doi.org/10.34680/2076-8052.2022.3(128).21-25
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