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Certain mathematical functions exhibit unpredictable or highly variable behavior near specific input values, making direct evaluation of their limits challenging. This complexity may arise from rapid oscillations or irregular patterns that obscure the function’s trend. In such cases, the Squeeze Theorem offers a reliable method for determining limits.According to the Squeeze Theorem, if a function is confined between two other functions near a particular point, and both outer functions approach...
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A Fluorescence Fluctuation Spectroscopy Assay of Protein-Protein Interactions at Cell-Cell Contacts
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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

Annual Review of Physical Chemistry
|April 9, 2008
PubMed
Summary
This summary is machine-generated.

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.

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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.