Impenetrable barriers in phase-space

SR Wiggins; L Wiesenfeld; C Jaffe; T Uzer

doi:10.1103/PhysRevLett.86.5478

Impenetrable barriers in phase-space

SR Wiggins, L Wiesenfeld, C Jaffe, T Uzer

Research output: Contribution to journal › Article (Academic Journal) › peer-review

209 Citations (Scopus)

Abstract

Dynamical systems theory is used to construct a general phase-space version of transition state theory. Special multidimensional separatrices are found which act as impenetrable barriers in phase-space between reacting and nonreacting trajectories. The elusive momentum-dependent transition state between reactants and products is thereby characterized. A practical algorithm is presented and applied to a strongly coupled Hamiltonian.

Translated title of the contribution	Impenetrable barriers in phase-space
Original language	English
Pages (from-to)	5478 - 5481
Number of pages	4
Journal	Physical Review Letters
Volume	86 (24)
DOIs	https://doi.org/10.1103/PhysRevLett.86.5478
Publication status	Published - Jun 2001

Bibliographical note

Publisher: American Physical Soc
Other identifier: IDS number 441PV

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http://prola.aps.org/pdf/PRL/v86/i24/p5478_1

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@article{55ade73c65434ae198c7450644a0f01a,

title = "Impenetrable barriers in phase-space",

abstract = "Dynamical systems theory is used to construct a general phase-space version of transition state theory. Special multidimensional separatrices are found which act as impenetrable barriers in phase-space between reacting and nonreacting trajectories. The elusive momentum-dependent transition state between reactants and products is thereby characterized. A practical algorithm is presented and applied to a strongly coupled Hamiltonian.",

author = "SR Wiggins and L Wiesenfeld and C Jaffe and T Uzer",

note = "Publisher: American Physical Soc Other identifier: IDS number 441PV",

year = "2001",

month = jun,

doi = "10.1103/PhysRevLett.86.5478",

language = "English",

volume = "86 (24)",

pages = "5478 -- 5481",

journal = "Physical Review Letters",

issn = "1079-7114",

publisher = "American Physical Society (APS)",

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TY - JOUR

T1 - Impenetrable barriers in phase-space

AU - Wiggins, SR

AU - Wiesenfeld, L

AU - Jaffe, C

AU - Uzer, T

N1 - Publisher: American Physical Soc Other identifier: IDS number 441PV

PY - 2001/6

Y1 - 2001/6

N2 - Dynamical systems theory is used to construct a general phase-space version of transition state theory. Special multidimensional separatrices are found which act as impenetrable barriers in phase-space between reacting and nonreacting trajectories. The elusive momentum-dependent transition state between reactants and products is thereby characterized. A practical algorithm is presented and applied to a strongly coupled Hamiltonian.

AB - Dynamical systems theory is used to construct a general phase-space version of transition state theory. Special multidimensional separatrices are found which act as impenetrable barriers in phase-space between reacting and nonreacting trajectories. The elusive momentum-dependent transition state between reactants and products is thereby characterized. A practical algorithm is presented and applied to a strongly coupled Hamiltonian.

U2 - 10.1103/PhysRevLett.86.5478

DO - 10.1103/PhysRevLett.86.5478

M3 - Article (Academic Journal)

SN - 1079-7114

VL - 86 (24)

SP - 5478

EP - 5481

JO - Physical Review Letters

JF - Physical Review Letters

ER -

Impenetrable barriers in phase-space

Abstract

Bibliographical note

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