Spontaneous Stabilization and Large-Scale Oscillations of an Active Medium with Negative Dissipation

IF 1.8 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Physical Mesomechanics Pub Date : 2023-12-15 DOI:10.1134/s1029959923060024

A. E. Filippov, V. L. Popov

引用次数: 0

Abstract

The paper analyzes a numerical model of an “active medium” with linear elasticity and a negative initial dissipation constant dynamically renormalized under deformation. The analysis shows that such a system, being seemingly unstable over a wide range of geometries and origins of deformation, can spontaneously reach stable dynamic modes in which its time- and space-alternating dissipation forms complex quasiperiodic patterns and its total volume (length, area) oscillates on a large scale. The results presented in the paper are of interest in academic terms and in terms of mechanical and biological application.

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负耗散活性介质的自发稳定和大规模振荡

摘要本文分析了一个具有线性弹性和负初始耗散常数的 "活性介质 "数值模型，该模型在变形过程中进行了动态重规范化。分析表明，这种系统在各种几何形状和变形起源下看似不稳定，但可以自发达到稳定的动态模式，在这种模式下，其时间和空间交替耗散形成复杂的准周期模式，其总体积（长度、面积）在大尺度上振荡。论文中介绍的结果在学术、机械和生物应用方面都很有意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Mesomechanics Materials Science-General Materials Science

CiteScore

3.50

自引率

18.80%

发文量

期刊介绍： The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.

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