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Lower bounds on dissipation upon coarse graining.

A Gomez-Marin1, J M R Parrondo, C Van den Broeck

  • 1Facultat de Física, Universitat de Barcelona, Diagonal 647, Barcelona, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 4, 2008
PubMed
Summary
This summary is machine-generated.

This study derives lower bounds for energy dissipation in Brownian systems out of equilibrium. We show how information about this dissipation is captured using solvable examples.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Non-equilibrium Systems

Background:

  • Brownian systems are fundamental models in statistical mechanics.
  • Understanding energy dissipation is crucial for non-equilibrium thermodynamics.
  • Coarse-graining is a key technique for simplifying complex systems.

Purpose of the Study:

  • To derive fundamental lower bounds on the total mean work dissipated in Brownian systems driven out of equilibrium.
  • To elucidate the mechanisms and conditions under which dissipation information is obtained.

Main Methods:

  • Application of various coarse-graining procedures to Brownian systems.
  • Derivation of analytical lower bounds on dissipated work.
  • Analysis of analytically solvable model systems.

Main Results:

  • Established rigorous lower bounds for energy dissipation in non-equilibrium Brownian systems.
  • Demonstrated how and when information regarding dissipation is captured through coarse-graining.
  • Identified specific conditions and system properties influencing dissipation information.

Conclusions:

  • The derived lower bounds provide fundamental insights into the thermodynamics of driven Brownian systems.
  • Coarse-graining procedures offer a powerful framework for quantifying dissipation in non-equilibrium scenarios.
  • The study highlights the interplay between system complexity, coarse-graining, and information acquisition on thermodynamic dissipation.