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Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
12:34

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Published on: June 24, 2016

Exact rate calculations by trajectory parallelization and tilting.

Eric Vanden-Eijnden1, Maddalena Venturoli

  • 1Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA. eve2@cims.nyu.edu

The Journal of Chemical Physics
|August 7, 2009
PubMed
Summary
This summary is machine-generated.

A new sampling procedure precisely calculates activated processes in steady-state systems. This method generalizes prior work by using transition path theory to guide simulations for accurate reaction rate computation.

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Area of Science:

  • Physical Chemistry
  • Chemical Physics
  • Computational Chemistry

Background:

  • Calculating reaction rates in equilibrium and nonequilibrium steady states is crucial for understanding chemical dynamics.
  • Previous methods involved cell-restricted simulations with boundary reinjection rules.
  • Generalizing these methods is essential for broader applicability.

Purpose of the Study:

  • To present a novel sampling procedure for the exact computation of activated process rates.
  • To generalize existing simulation techniques for enhanced accuracy in rate calculations.
  • To leverage transition path theory for improved dynamics tilting.

Main Methods:

  • A generalized sampling procedure based on cell-restricted simulations.
  • Implementation of a reinjection rule consistent with exact probability fluxes at cell boundaries.
  • Application of transition path theory principles to guide dynamic tilting.

Main Results:

  • The proposed procedure enables exact computation of activated process rates.
  • It extends previous methodologies by incorporating transition path theory.
  • The method is applicable to systems at both equilibrium and nonequilibrium steady states.

Conclusions:

  • The developed sampling procedure offers an exact method for calculating reaction rates.
  • This approach provides a significant advancement over existing simulation techniques.
  • It facilitates a deeper understanding of activated processes in complex systems.