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Stationary and Transient Fluctuation Theorems for Effective Heat Fluxes between Hydrodynamically Coupled Particles in
A Bérut1, A Imparato2, A Petrosyan1
1Université de Lyon, Laboratoire de Physique, École Normale Supérieure de Lyon (CNRS UMR5672), 46 Allée d'Italie 69364 Lyon Cedex 07, France.
Physical Review Letters
|February 27, 2016
Summary
We experimentally studied energy fluxes between two Brownian particles. Results show heat fluxes satisfy fluctuation theorems in both stationary and transient states, offering insights into non-equilibrium thermodynamics.
Area of Science:
- Statistical mechanics
- Non-equilibrium thermodynamics
- Soft matter physics
Background:
- Brownian motion describes random particle movement due to thermal energy.
- Hydrodynamic interactions influence particle dynamics in fluids.
- Fluctuation theorems provide fundamental insights into non-equilibrium systems.
Purpose of the Study:
- To experimentally investigate energy flux statistics between coupled Brownian particles.
- To verify the applicability of exchange fluctuation theorems under non-equilibrium conditions.
- To analyze transient and stationary state behaviors of heat fluxes.
Main Methods:
- Utilizing optical traps to confine two interacting Brownian particles.
- Inducing an effective temperature difference via controlled random forcing.
- Measuring energy fluxes and analyzing their statistical properties.
Main Results:
- Effective heat fluxes between particles were identified.
- Stationary state energy fluxes were shown to satisfy an exchange fluctuation theorem.
- Transient analysis revealed a time-dependent fluctuation theorem for hot-cold flux, and asymptotic behavior for cold-hot flux.
Conclusions:
- The study experimentally validates exchange fluctuation theorems for coupled Brownian systems.
- Demonstrates distinct transient and stationary behaviors of energy fluxes under temperature gradients.
- Provides a foundation for understanding heat transport in interacting mesoscopic systems.
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