From Action Principle to Stochastic Thermodynamics of Elastic and Viscous Active Matter

The paper develops a mechanical action principle for stochastic elastodynamics by using analogies from Hookean springs to create a unified framework for active and thermal systems. This approach allows deriving equations of motion that consistently incorporate nonconservative forces, fluctuations, and dissipation, bridging classical mechanics with statistical thermodynamics for complex soft matter.

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