The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle

Gregory S. Ezra; Stephen Wiggins

doi:10.1142/S0218127419500251

The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle

Gregory S. Ezra, Stephen Wiggins

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

4 Citations (Scopus)

Abstract

In this paper, we present a derivation of Chesnavich's Hamiltonian for a model ion-molecule reaction. The model system has the basic structure of a rigid body coupled to a structureless particle. Using the form of the potential energy of interaction given by Chesnavich, we derive the equilibria, determine their stability, and construct two, two-dimensional invariant manifolds and determine their stability.

Original language	English
Article number	1950025
Number of pages	9
Journal	International Journal of Bifurcation and Chaos
Volume	29
Issue number	2
DOIs	https://doi.org/10.1142/S0218127419500251
Publication status	Published - 1 Feb 2019

Keywords

invariant manifolds
nonlinear rotational dynamics
phase space structure
Rigid body coupled to a particle

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title = "The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle",

abstract = "In this paper, we present a derivation of Chesnavich's Hamiltonian for a model ion-molecule reaction. The model system has the basic structure of a rigid body coupled to a structureless particle. Using the form of the potential energy of interaction given by Chesnavich, we derive the equilibria, determine their stability, and construct two, two-dimensional invariant manifolds and determine their stability.",

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author = "Ezra, \{Gregory S.\} and Stephen Wiggins",

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AU - Wiggins, Stephen

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N2 - In this paper, we present a derivation of Chesnavich's Hamiltonian for a model ion-molecule reaction. The model system has the basic structure of a rigid body coupled to a structureless particle. Using the form of the potential energy of interaction given by Chesnavich, we derive the equilibria, determine their stability, and construct two, two-dimensional invariant manifolds and determine their stability.

AB - In this paper, we present a derivation of Chesnavich's Hamiltonian for a model ion-molecule reaction. The model system has the basic structure of a rigid body coupled to a structureless particle. Using the form of the potential energy of interaction given by Chesnavich, we derive the equilibria, determine their stability, and construct two, two-dimensional invariant manifolds and determine their stability.

KW - invariant manifolds

KW - nonlinear rotational dynamics

KW - phase space structure

KW - Rigid body coupled to a particle

UR - https://www.scopus.com/pages/publications/85062674383

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DO - 10.1142/S0218127419500251

M3 - Article (Academic Journal)

AN - SCOPUS:85062674383

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JO - International Journal of Bifurcation and Chaos

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ER -

The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle

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Keywords

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