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In this article we present the influence of a Hamiltonian saddle-node bifurcation on the high-dimensional phase space structures that mediate reaction dynamics. To achieve this goal, we identify the phase space invariant manifolds using…

混沌动力学 · 物理学 2020-05-20 Víctor J. García-Garrido , Shibabrat Naik , Stephen Wiggins

Phase space structures such as dividing surfaces, normally hyperbolic invariant manifolds, their stable and unstable manifolds have been an integral part of computing quantitative results such as transition fraction, stability erosion in…

动力系统 · 数学 2019-07-09 Shibabrat Naik , Víctor J. García-Garrido , Stephen Wiggins

We study the effect of changes in the parameters of a two-dimensional potential energy surface on the phase space structures relevant for chemical reaction dynamics. The changes in the potential energy are representative of chemical…

动力系统 · 数学 2021-07-28 Wenyang Lyu , Shibabrat Naik , Stephen Wiggins

We introduce the concept of a "transitory" dynamical system---one whose time-dependence is confined to a compact interval---and show how to quantify transport between two-dimensional Lagrangian coherent structures for the Hamiltonian case.…

混沌动力学 · 物理学 2015-03-17 B. A. Mosovsky , J. D. Meiss

In this work, we investigate the existence of transition state resonances on atom-diatom reactive collisions from a time-dependent perspective, stressing the role of quantum trajectories as a tool to analyze this phenomenon. As it is shown,…

化学物理 · 物理学 2012-05-25 A. S. Sanz , D. Lopez-Duran , T. Gonzalez-Lezana

We study the phase space structures that control the transport in a classical Hamiltonian model for a chemical reaction. This model has been proposed to study the yield of products in an ultracold exothermic reaction. In the considered…

混沌动力学 · 物理学 2021-01-04 Francisco Gonzalez Montoya , Stephen Wiggins

The frequency dependence of dynamical conductivity of the quasi-one-dimensional structures with hydrogen bonds is studied on the basis of pseudospin-electron model. It takes into account the proton-electron interaction, external…

统计力学 · 物理学 2012-04-27 R. Ya. Stetsiv

Double parton correlations, having effects on the double parton scattering processes occurring in high-energy hadron-hadron collisions, for example at the LHC, are studied in the valence quark region, within constituent quark models. In…

高能物理 - 唯象学 · 物理学 2015-06-15 M. Rinaldi , S. Scopetta , V. Vento

We exploit the presence of approximate (broken) symmetries to obtain general scaling laws governing the process of pattern formation in weakly damped Faraday waves. Specifically, we consider a two-frequency forcing function and trace the…

斑图形成与孤子 · 物理学 2009-11-07 Jeff Porter , Mary Silber

The propagation of several spatial modes has a significant impact on the structure of the emission from parametric down-conversion in a nonlinear waveguide. This manifests itself not only in the spatial correlations of the photon pairs but…

The spontaneous emission is investigated for an effective atomic two-level system in an intense coherent field with frequency lower than the vacuum-induced decay width. As this additional low-frequency field is assumed to be intense,…

量子物理 · 物理学 2009-11-10 J. Evers , C. H. Keitel

The majority of dynamical studies in power systems focus on the high voltage transmission grids where models consider large generators interacting with crude aggregations of individual small loads. However, new phenomena have been observed…

物理与社会 · 物理学 2015-06-12 Charlie Duclut , Scott Backhaus , Michael Chertkov

Due to the transfer of the angular spectrum of the pump beam to the two-photon state in spontaneous parametric down-conversion the generated twin photons are entangled in Hermite-Gaussian (HG) modes. This enables one using HG modes as an…

量子物理 · 物理学 2017-03-08 H. Avetisyan , C. H. Monken

The dynamics of low-energy proton collisions with hydrocarbon with hydrocarbon molecules are investigated using real-time time-dependent density functional theory. Through systematic variation of proton kinetic energy and impact site on the…

We show how pattern formation in Faraday waves may be manipulated by varying the harmonic content of the periodic forcing function. Our approach relies on the crucial influence of resonant triad interactions coupling pairs of critical…

斑图形成与孤子 · 物理学 2009-11-10 Chad M. Topaz , Jeff Porter , Mary Silber

In particle-laden turbulence, the Fourier Lagrangian spectrum of each phase is regularly computed, and analytically derived response functions relate the Lagrangian spectrum of the fluid- and the particle phase. However, due to the periodic…

流体动力学 · 物理学 2023-06-07 Martin Schiødt , Azur Hodzic , Fabien Evrard , Max Hausmann , Berend Van Wachem , Clara M. Velte

We investigate the effect of the cumulative phase on the photon statistics of the three-mode state whose evolution is described by the trilinear Hamiltonian…

量子物理 · 物理学 2020-01-22 Richard J. Birrittella , Paul M. Alsing , Christopher C. Gerry

This work considers how the properties of hydrogen bonded complexes, D-H....A, are modified by the quantum motion of the shared proton. Using a simple two-diabatic state model Hamiltonian, the analysis of the symmetric case, where the donor…

化学物理 · 物理学 2014-05-09 Ross H. McKenzie , Christiaan Bekker , Bijyalaxmi Athokpam , Sai G. Ramesh

We investigate how momentum and kinetic energy is transferred between Fourier components (the so-called triad interactions) in measured turbulent flow fields, i.e. in practical, discretely sampled signals with limited temporal and spatial…

流体动力学 · 物理学 2025-12-08 Preben Buchhave , Clara Velte

The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

混沌动力学 · 物理学 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo
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