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We examine the phase space structures that govern reaction dynamics in the absence of critical points on the potential energy surface. We show that in the vicinity of hyperbolic invariant tori it is possible to define phase space dividing…

We consider the statics and dynamics of a single particle trapped in a one-dimensional harmonic potential, and subjected to a driving noise with memory, that is represented by a resetting stochastic process. The finite memory of this…

Statistical Mechanics · Physics 2024-01-18 Mathis Gueneau , Satya N. Majumdar , Gregory Schehr

We investigate theoretically the physics of diffusion-limited intramolecular polymer reactions. The present work completes and goes beyond a previous study [Nat. Chem. 4, 268 (2012)] that showed that the distribution of the polymer…

Statistical Mechanics · Physics 2015-06-12 T. Guérin , O. Bénichou , R. Voituriez

Scattering resonances play a central role in collision processes in physics and chemistry. They help building an intuitive understanding of the collision dynamics due to the spatial localization of the scattering wavefunctions. For…

We investigate theoretically a diffusion-limited reaction between a reactant attached to a Rouse polymer and an external fixed reactive site in confinement. The present work completes and goes beyond a previous study [T. Gu\'erin, O.…

Statistical Mechanics · Physics 2015-06-11 T. Guérin , O. Bénichou , R. Voituriez

Benchmark-quality rovibrational data are reported for the methane dimer from variational nuclear motion computations using an ab initio intermolecular potential energy surface reported by [M. P. Metz et al., Phys. Chem. Chem. Phys., 2019,…

Chemical Physics · Physics 2024-06-11 Alberto Martín Santa Daría , Gustavo Avila , Edit Mátyus

Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in…

Earth and Planetary Astrophysics · Physics 2016-11-03 George Voyatzis

A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a…

Chaotic Dynamics · Physics 2009-01-05 Florian R. N. Koch , Florian Lenz , Christoph Petri , Fotis K. Diakonos , Peter Schmelcher

We continue our study of chaotic mixing and transport of passive particles in a simple model of a meandering jet flow [Prants, et al, Chaos {\bf 16}, 033117 (2006)]. In the present paper we study and explain phenomenologically a connection…

Chaotic Dynamics · Physics 2012-05-29 M. V. Budyansky , M. Yu. Uleysky , S. V. Prants

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor, where the nonlinearity stems from the mean field interactions between the condensed atoms. For weak…

Other Condensed Matter · Physics 2009-11-11 Jie Liu , Chuanwei Zhang , Mark G. Raizen , Qian Niu

There are a number of situations in which rescaled interacting particle systems have been shown to converge to a reaction diffusion equation (RDE) with a bistable reaction term. These RDEs have traveling wave solutions. When the speed of…

Probability · Mathematics 2021-07-19 Xiangying Huang , Rick Durrett

We report on an experimental realization of unidirectional transporting island structures in an otherwise chaotic phase space of the delta-kicked rotor system. Using a Bose-Einstein Condensate as a source of ultracold atoms, we employ…

Atomic Physics · Physics 2013-12-16 D. H. White , S. K. Ruddell , M. D. Hoogerland

We report a combined experimental and theoretical study on the formation of O2+ by electronimpact double ionization and fragmentation of carbon dioxide (CO2) molecule. Through fragment ions and electron coincidence momentum imaging, we…

Atomic and Molecular Clusters · Physics 2025-09-09 Qibo Ma , Xintai Hao , Jiaqi Zhou , Xiaorui Xue , Qingrui Zeng , Peng Li , Lei Wang , Xueguang Ren

We review recent results on quantum reactive scattering from a phase space perspective. The approach uses classical and quantum versions of normal form theory and the perspective of dynamical systems theory. Over the past ten years the…

Quantum Physics · Physics 2010-10-15 Arseni Goussev , Roman Schubert , Holger Waalkens , Stephen Wiggins

Star polymers can exhibit a heterogeneous dynamical behavior due to their internal structure. In this work we employ atomistic molecular dynamics simulations to study translational motion in non-entangled polystyrene and poly(ethylene…

Soft Condensed Matter · Physics 2021-02-03 Petra Bačová , Eirini Gkolfi , Laurence G. D. Hawke , Vagelis Harmandaris

We study the morphological evolution of surfaces during ion sputtering and we compare their dynamical roughening with aeolian ripple formation in sandy deserts. We show that, although the two phenomena are physically different, they must…

Soft Condensed Matter · Physics 2007-09-19 T. Aste , U. Valbusa

Rapid gamma-ray flares pose an astrophysical puzzle, requiring mechanisms both to accelerate energetic particles and to produce fast observed variability. These dual requirements may be satisfied by collisionless relativistic magnetic…

High Energy Astrophysical Phenomena · Physics 2020-08-26 J. M. Mehlhaff , G. R. Werner , D. A. Uzdensky , M. C. Begelman

We present fully atomistic Molecular Dynamics simulation results on a main-chain polymer, 1,4-Polybutadiene, in the merging region of the $\alpha$- and $beta$-relaxations. A real space analysis reveals the occurrence of localized motions…

Soft Condensed Matter · Physics 2015-06-25 Juan Colmenero , Arturo Narros , Fernando Alvarez , Arantxa Arbe , Angel J. Moreno

We study the dynamics of a dimer moving on a periodic one-dimensional substrate as a function of the initial kinetic energy at zero temperature. The aim is to describe, in a simplified picture, the microscopic dynamics of diatomic molecules…

Condensed Matter · Physics 2009-11-10 C. Fusco , A. Fasolino , T. Janssen

We use perturbation theory and bifurcation theory to analyze the dynamical behavior of resonances, associated to a model describing a particle moving within a ring around a celestial object. The central body is modeled as a homogeneous…

Mathematical Physics · Physics 2025-07-22 Alessandra Celletti , Irene De Blasi , Sara Di Ruzza