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Minimal dissipation with viscoelastic baths in weakly driven processes.

Pierre Nazé1, Fabrício Q Potiguar1

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Investigating thermodynamics of driven systems interacting with viscoelastic heat baths.
  • Utilizing generalized Langevin equation with memory for analysis.

Purpose of the Study:

  • Derive conditions for thermodynamic consistency in systems with memory.
  • Analyze relaxation dynamics and optimal protocols under viscoelasticity.

Main Methods:

  • Generalized Langevin equation with memory.
  • Linear response theory.
  • Analysis of moving and stiffening harmonic traps.

Main Results:

  • Identified conditions for thermodynamic consistency, including a Dirac delta requirement.
  • Found that viscoelastic memory can accelerate relaxation and reduce dissipation.
  • Derived optimal protocols minimizing irreversible work, influenced by bath persistence time.

Conclusions:

  • Memory effects in overdamped systems have measurable thermodynamic signatures.
  • Viscoelasticity can be leveraged to control relaxation dynamics and dissipation.
  • Results have direct implications for controlling complex systems.