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Fluctuation theorems
E M Sevick1, R Prabhakar, Stephen R Williams
1Research School of Chemistry, Australian National University, Canberra, Australian Capital Territory 0200 Australia. sevick@rsc.anu.edu.au
Fluctuation theorems reveal how irreversibility arises from reversible dynamics, offering new ways to calculate free-energy changes. These theorems extend thermodynamics to finite systems, crucial for nanotechnology and biology.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Thermodynamics
Background:
- Fluctuation theorems provide fundamental insights into irreversibility from reversible dynamics.
- They offer novel statistical mechanical relationships for free-energy changes.
Purpose of the Study:
- To review fluctuation theorems, their physical significance, and applications.
- To highlight their role in understanding nonequilibrium systems and extending thermodynamics to finite systems.
Main Methods:
- Discussion of theoretical frameworks of fluctuation theorems.
- Analysis of results from experimental and model systems.
Main Results:
- Fluctuation theorems describe statistical fluctuations in time-averaged properties of driven many-particle systems.
- They provide analytical expressions for nonequilibrium states and enable quantitative predictions for small, short-monitored systems.
Conclusions:
- Fluctuation theorems are essential for understanding irreversibility and free-energy changes.
- They have significant implications for nanodevices and biological processes.
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