The fluctuation-dissipation theorem for a non-periodic driver

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SUMMARY

The discussion focuses on the fluctuation-dissipation theorem in the context of non-periodic driving forces, specifically a monotonic driving force applied to a shearing gel. The participants explore the challenges of predicting the fraction of stored energy that is dissipated when the system is subjected to a non-sinusoidal driving force. The conversation highlights the need for methodologies to measure energy dissipation in systems that do not oscillate about thermodynamic equilibrium.

PREREQUISITES
  • Understanding of the fluctuation-dissipation theorem in statistical physics
  • Knowledge of energy storage and dissipation in elastic materials
  • Familiarity with monotonic loading concepts in material science
  • Basic principles of thermodynamic equilibrium
NEXT STEPS
  • Research methods for measuring energy dissipation in non-periodic systems
  • Study the application of the fluctuation-dissipation theorem to non-sinusoidal driving forces
  • Explore the behavior of shearing gels under monotonic loading conditions
  • Investigate advanced topics in thermodynamic equilibrium and energy transfer
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Physicists, material scientists, and engineers interested in the dynamics of non-periodic systems and energy dissipation mechanisms in elastic materials.

Bavid
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Hi,
I have been trying to understand the fluctuation-dissipation theorem of statistical physics. I understand the objective: to predict the dissipated and stored power in a system driven to oscillate about thermodynamic equilibrium.

Most formulations I have come across assume a sinusoidal driving force.

My question is this: If we have a monotonic driving force, e.g, a shearing 'gel' (that has some elasticity, i.e, there are both storage and dissipation components), how do we decide what fraction of the stored energy is being dissipated? Is it even possible to measure this fraction through only monotonic loading?
 
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Hi,
you mean something like systematically positive external force?
 

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