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Momentum transfer in nonequilibrium steady states
Antoine Fruleux1, Ryoichi Kawai, Ken Sekimoto
1Matières et Systèmes Complexes, CNRS-UMR7057, Université Paris-Diderot, 75205 Paris, France.
Physical Review Letters
|June 12, 2012
Summary
Energy dissipation in Brownian motion creates a "momentum transfer deficit" force on objects interacting with gas particles under nonequilibrium conditions. This principle is explained using a new model and applied to phenomena like the adiabatic piston.
Area of Science:
- Physics
- Statistical Mechanics
- Thermodynamics
Background:
- Brownian motion typically occurs under equilibrium conditions.
- Non-equilibrium systems exhibit unique behaviors not seen in equilibrium.
- Understanding particle interactions is key to explaining macroscopic phenomena.
Purpose of the Study:
- To introduce a new model for nonequilibrium steady states.
- To explain the origin of an additional force on Brownian objects due to energy dissipation.
- To apply this principle to known physical models, such as the adiabatic piston.
Main Methods:
- Development of a novel nonequilibrium steady state model.
- Analysis of energy dissipation in Brownian motion.
- Mathematical modeling of momentum transfer between Brownian objects and gas particles.
Main Results:
- Identified a
- momentum transfer deficit
- force arising from energy dissipation.
- Demonstrated the principle using the new model.
- Provided a simplified explanation for the adiabatic piston phenomenon.
Conclusions:
- Energy dissipation in Brownian motion under nonequilibrium conditions leads to a distinct force.
- The new model offers a unified framework for understanding such phenomena.
- This principle has broad applicability to various physical systems.
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