Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Impenetrable barriers in phase-space.

S Wiggins1, L Wiesenfeld, C Jaffé

  • 1School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.

Physical Review Letters
|June 21, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Rotational (de-)excitation of CH<sub>3</sub>CN in collisions with H<sub>2</sub> on an accurate potential energy surface.

Physical chemistry chemical physics : PCCP·2025
Same author

Quantifying chaos using Lagrangian descriptors.

Chaos (Woodbury, N.Y.)·2023
Same author

Nonadiabatic effects in the double ionization of atoms driven by a circularly polarized laser pulse.

Physical review. E·2020
Same author

Probing Low-Energy Resonances in Water-Hydrogen Inelastic Collisions.

Physical review letters·2020
Same author

Rotational quenching of an interstellar gas thermometer: CH<sub>3</sub>CNHe collisions.

Physical chemistry chemical physics : PCCP·2020
Same author

Envelope-Driven Recollisions Triggered by an Elliptically Polarized Pulse.

Physical review letters·2020
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Dynamical systems theory provides a new phase-space framework for transition state theory. This research identifies special multidimensional separatrices that act as barriers, characterizing the momentum-dependent transition state.

Area of Science:

  • Chemical Physics
  • Theoretical Chemistry
  • Dynamical Systems Theory

Background:

  • Transition state theory (TST) is a cornerstone of chemical reaction rate theory.
  • Classical TST often relies on simplified assumptions about the transition state.
  • A phase-space formulation of TST can offer a more rigorous and general description.

Purpose of the Study:

  • To develop a general phase-space version of transition state theory using dynamical systems theory.
  • To characterize the elusive momentum-dependent transition state.
  • To introduce a practical computational algorithm for this new framework.

Main Methods:

  • Application of dynamical systems theory to construct a phase-space formulation of TST.
  • Identification and analysis of multidimensional separatrices in phase space.

Related Experiment Videos

  • Development and application of a computational algorithm to a strongly coupled Hamiltonian system.

    • Main Results:

    • Discovery of special multidimensional separatrices acting as impenetrable phase-space barriers.
    • These barriers separate reacting and nonreacting trajectories.
    • Successful characterization of the momentum-dependent transition state.

    Conclusions:

    • The phase-space TST provides a robust theoretical framework for understanding reaction dynamics.
    • Multidimensional separatrices are key features defining the transition state.
    • The developed algorithm offers a practical tool for studying complex chemical systems.