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Optimal driving of isothermal processes close to equilibrium
Marcus V S Bonança1, Sebastian Deffner2
1Instituto de Física "Gleb Wataghin," Universidade Estadual de Campinas, 13083-859, Campinas, São Paulo, Brazil.
The Journal of Chemical Physics
|July 3, 2014
Summary
This study minimizes dissipated work in nonequilibrium processes. Irreversible work is determined by correlation time and generalized force fluctuations, offering new insights into thermodynamic efficiency.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Physical Chemistry
Background:
- Understanding and minimizing energy dissipation is crucial for efficient thermodynamic processes.
- Nonequilibrium processes are fundamental to many natural and engineered systems.
Purpose of the Study:
- To develop a method for minimizing work dissipation during slow, nonequilibrium processes.
- To provide a theoretical framework for quantifying irreversible work.
Main Methods:
- Employing linear response theory to analyze processes near quasistatic driving.
- Expressing irreversible work as a functional of correlation time and generalized force fluctuations.
Main Results:
- Irreversible work is shown to depend solely on correlation time and fluctuations of the generalized force.
- Self-consistent expressions for the response function and a closed-form correlation time are derived.
Conclusions:
- The findings offer a new perspective on minimizing energy loss in dynamic systems.
- The derived relationships provide a quantitative tool for analyzing and optimizing thermodynamic efficiency.
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