TY - JOUR
T1 - The Chesnavich Model for Ion-Molecule Reactions
T2 - A Rigid Body Coupled to a Particle
AU - Ezra, Gregory S.
AU - Wiggins, Stephen
PY - 2019/2/1
Y1 - 2019/2/1
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 - http://www.scopus.com/inward/record.url?scp=85062674383&partnerID=8YFLogxK
U2 - 10.1142/S0218127419500251
DO - 10.1142/S0218127419500251
M3 - Article (Academic Journal)
AN - SCOPUS:85062674383
SN - 0218-1274
VL - 29
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 2
M1 - 1950025
ER -