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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Published on: September 8, 2023

Thermodynamic metrics and optimal paths.

David A Sivak1, Gavin E Crooks

  • 1Physical Biosciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA. dasivak@lbl.gov

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new friction tensor for molecular machines operating far from equilibrium. This tensor defines a geometric structure that minimizes energy dissipation for efficient work extraction.

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Last Updated: May 18, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

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Published on: September 8, 2023

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Systems

Background:

  • Understanding molecular machines requires analyzing their performance away from thermal equilibrium.
  • Dissipation of energy is a key challenge in non-equilibrium thermodynamics.
  • Existing models often struggle to quantify efficiency in finite-time processes.

Purpose of the Study:

  • To develop a theoretical framework for analyzing work and dissipation in molecular machines operating out of equilibrium.
  • To establish a connection between geometric structures and thermodynamic efficiency.
  • To derive optimal control protocols for non-equilibrium processes.

Main Methods:

  • Derivation of a friction tensor.
  • Induction of a Riemannian manifold on the space of thermodynamic states.
  • Analysis within the linear-response regime.
  • Connection to thermodynamic length formalism.

Main Results:

  • The friction tensor defines a metric structure controlling dissipation in finite-time transformations.
  • This metric structure reveals properties of optimal thermodynamic protocols.
  • The utility of the metric is demonstrated by solving for optimal protocols in a non-equilibrium model.

Conclusions:

  • A geometric approach using a friction-induced metric can optimize work extraction in molecular machines.
  • This framework provides new insights into the fundamental limits of efficiency in non-equilibrium thermodynamics.
  • The derived metric offers a powerful tool for designing efficient molecular machines.