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Title: Noise amplification in frictional systems : oscillatory instabilities
Authors: Chattoraj, Joyjit
Gendelman, Oleg
Pica Ciamarra, Massimo
Procaccia, Itamar
Keywords: Science::Physics
Issue Date: 2019
Source: Chattoraj, J., Gendelman, O., Pica Ciamarra, M., & Procaccia, I. (2019). Noise amplification in frictional systems : oscillatory instabilities. Physical Review E, 100(4), 042901-. doi:10.1103/PhysRevE.100.042901
Journal: Physical Review E
Abstract: It was discovered recently that frictional granular materials can exhibit an important mechanism for instabilities, i.e., the appearance of pairs of complex eigenvalues in their stability matrix. The consequence is an oscillatory exponential growth of small perturbations which are tamed by dynamical nonlinearities. The amplification can be giant, many orders of magnitude, and it ends with a catastrophic system-spanning plastic event. Here we follow up on this discovery, explore the scaling laws characterizing the onset of the instability, the scenarios of the development of the instability with and without damping, and the nature of the eventual system-spanning events. The possible relevance to earthquake physics and to the transition from static to dynamic friction is discussed.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.100.042901
Schools: School of Physical and Mathematical Sciences 
Rights: © 2019 American Physical Society. All rights reserved. This paper was published in Physical Review E and is made available with permission of American Physical Society
Fulltext Permission: open
Fulltext Availability: With Fulltext
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