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Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
Lucas P Kamizaki1,2, Marcus V S Bonança1, Sérgio R Muniz2
1Instituto de Física 'Gleb Wataghin', Universidade Estadual de Campinas, 13083-859 Campinas, São Paulo, Brazil.
Physical Review. E
|January 21, 2023
Summary
Optimal linear-response processes show strong performance even far from equilibrium. These findings are relevant for experiments using optical tweezers and assessing theoretical methods.
Area of Science:
- Statistical Mechanics
- Non-Equilibrium Thermodynamics
- Soft Matter Physics
Background:
- Brownian motion is fundamental to understanding particle dynamics.
- Linear-response theory provides approximations for systems near equilibrium.
- Optimal processes are crucial for efficient energy transfer in physical systems.
Purpose of the Study:
- To evaluate the performance of optimal linear-response processes far from equilibrium.
- To compare analytical solutions with numerical simulations in the overdamped regime.
- To assess the applicability of perturbative methods for irreversible work calculations.
Main Methods:
- Extensive numerical analysis of driven Brownian motion.
- Focus on the overdamped regime with known analytical optimal processes.
- Comparison of linear-response optimal processes with exact solutions using experimental parameters.
Main Results:
- Optimal linear-response processes demonstrate surprisingly good performance beyond their expected range of validity.
- A performance metric was developed to compare approximate and exact optimal solutions.
- The study validates the relevance of these processes for optical tweezer experiments.
Conclusions:
- Linear-response theory can offer effective strategies for non-equilibrium processes.
- Perturbative methods for irreversible work may be more accurate than previously thought.
- The findings bridge theoretical predictions with experimental realities in soft matter systems.
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