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Related Concept Videos

Reaction Mechanisms: The Steady-State Approximation01:26

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
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Transition-state theory, also known as activated-complex theory, provides a molecular-level explanation of reaction rates in both gas-phase and solution-phase reactions. It extends earlier kinetic models by considering the formation of a short-lived, high-energy configuration during a reaction.The progress of a chemical reaction can be represented using a reaction profile, which plots potential energy against the reaction coordinate. As two reactant molecules approach one another, their...
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Free Energy and Equilibrium02:56

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The reaction quotient, Q, is a convenient measure of the status of an...
Standard Entropy Change for a Reaction03:00

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Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.

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A Fluorescence Fluctuation Spectroscopy Assay of Protein-Protein Interactions at Cell-Cell Contacts
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Published on: December 1, 2018

Extending the fluctuation theorem to describe reaction coordinates.

Sterling Paramore1, Gary S Ayton, Gregory A Voth

  • 1Center for Biophysical Modeling and Simulation and Department of Chemistry, University of Utah, Salt Lake City, Utah 84112-0850, USA.

The Journal of Chemical Physics
|February 17, 2007
PubMed
Summary

The fluctuation theorem now extends to reaction coordinates, not just work done. This advance simplifies reconstructing potential of mean force from nonequilibrium simulations.

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Area of Science:

  • Statistical Mechanics
  • Physical Chemistry
  • Computational Biophysics

Background:

  • The fluctuation theorem analyzes work distribution in small, non-equilibrium systems subjected to external fields.
  • It is increasingly relevant for single-molecule experiments and simulations.
  • Current applications primarily focus on work done on the system.

Purpose of the Study:

  • To extend the fluctuation theorem to encompass fluctuations in a system's reaction coordinate.
  • To provide a generalized derivation of Hummer and Szabo's method for potential of mean force reconstruction.
  • To demonstrate simplified implementation of this method.

Main Methods:

  • Theoretical extension of the fluctuation theorem.
  • Generalized derivation of the potential of mean force reconstruction expression.
  • Atomistic simulations of a biomolecular system.

Main Results:

  • The fluctuation theorem can be successfully extended to include reaction coordinate fluctuations.
  • This extension yields a generalized derivation of the Hummer and Szabo expression.
  • Atomistic simulations validate the theoretical findings.

Conclusions:

  • The generalized fluctuation theorem offers a more accessible approach to analyzing nonequilibrium processes.
  • This framework facilitates the reconstruction of potential of mean force from simulation data.
  • The study provides a robust theoretical and computational basis for future research in molecular dynamics.