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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Published on: December 15, 2021

Stress fluctuations in transient active networks.

Daniel Goldstein¹, Sriram Ramaswamy, Bulbul Chakraborty

¹Martin Fisher School of Physics, Brandeis University, Waltham, USA. goldsd@brandeis.edu.

|April 11, 2019

Summary

We modeled active solids using a spring network with growth, death, and birth dynamics. This model captures self-stress and plastic solid behavior, predicting a Herschel-Bulkley stress-activity relationship.

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Area of Science:

Physics
Materials Science
Biophysics

Background:

Dynamic extensile gels of biofilaments and motors inspire new models.
Hydrodynamic theories struggle to incorporate self-stress in active matter.
Understanding the mechanical properties of active solids is crucial.

Purpose of the Study:

To propose a novel model for active solids based on a spring network.
To capture self-stress and non-affine effects in dynamic networks.
To predict the mechanical behavior and stress distribution of active solids.

Main Methods:

Developing a spring network model with growth, death, and birth kinetics.
Numerical simulations to study network dynamics and emergent properties.
Employing a stochastic effective-medium model for theoretical analysis.

Main Results:

The model successfully captures self-stress build-up, unlike hydrodynamic theories.
The dynamically extending force-dipole network exhibits characteristics of yielded plastic solids.
Observations are largely explained by a stochastic effective-medium model.

Conclusions:

The proposed model offers a new framework for active solids, incorporating non-affine effects.
The model predicts a distinctive stress distribution and Herschel-Bulkley behavior.
This work provides insights into the physics of active matter and soft materials.