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

• Published in: Physical mesomechanics Vol. 26; no. 6; pp. 608 - 620
• Main Authors: Filippov, A. E., Popov, V. L.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-12-2023; Springer Nature B.V
• Subjects: Classical Mechanics; Deformation analysis; Dissipation; Materials Science; Numerical models; Physics; Physics and Astronomy; Solid State Physics; strains; dissipation attractor; dissipation; active medium
• ISSN: 1029-9599; 1990-5424
• DOI: 10.1134/S1029959923060024

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.