activity
19962023
most citedMicrocanonical rates, gap times, and phase space dividing surfaces

73 citations · 523 across the 34 of their papers we have counts for

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9 papers · 1 filter

nlin.CD2019★ 3 cited

Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction

Vladimír Krajňák, Holger Waalkens

The collinear hydrogen exchange reaction is a paradigm system for understanding chemical reactions. It is the simplest imaginable atomic system with degrees of freedom modeling…

nlin.CD2013★ 23 cited

Reaction dynamics through kinetic transition states

Ünver Çiftçi, Holger Waalkens

The transformation of a system from one state to another is often mediated by a bottleneck in the system's phase space. In chemistry these bottlenecks are known as \emph{transition…

nlin.CD2011★ 16 cited

Phase space structures governing reaction dynamics in rotating molecules

Unver Ciftci, Holger Waalkens

Recently the phase space structures governing reaction dynamics in Hamiltonian systems have been identified and algorithms for their explicit construction have been developed. Thes…

nlin.CD2010★ 1 cited

A periodic orbit formula for quantum reactions through transition states

Roman Schubert, Holger Waalkens, Arseni Goussev +1

Transition State Theory forms the basis of computing reaction rates in chemical and other systems. Recently it has been shown how transition state theory can rigorously be realized…

nlin.CD2009★ 40 cited

Geometrical Models of the Phase Space Structures Governing Reaction Dynamics

Holger Waalkens, Stephen Wiggins

Hamiltonian dynamical systems possessing equilibria of stability type display \emph{reaction-type dynamics} for energies close t…

nlin.CD2008

Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions

R. Hales, H. Waalkens

We study the quantum transport through entropic barriers induced by hardwall constrictions of hyperboloidal shape in two and three spatial dimensions. Using the separability of the…