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We study the spatial patterns formed by interacting populations or reacting chemicals under the influence of chaotic flows. In particular, we have considered a three-component model of plankton dynamics advected by a meandering jet. We…

Self-activation coupled to a transport mechanism results in traveling waves that describe polymerization reactions, forest fires, tumor growth, and even the spread of epidemics. Diffusion is a simple and commonly used model of particle…

Statistical Mechanics · Physics 2020-07-06 Keisuke Ishihara , Ashish B. George , Ryan Cornelius , Kirill S. Korolev

This paper is concerned with the traveling waves of delayed reaction-diffusion systems where the reaction function possesses the mixed quasimonotonicity property. By the so-called monotone iteration scheme and Schauder's fixed point…

Analysis of PDEs · Mathematics 2010-07-21 Canrong Tian , Zhigui Lin

We present models for a heteronuclear diatomic molecular ion in a linear Paul trap in a rigid-rotor approximation, one purely classical, the other where the center-of-mass motion is treated classically while rotational motion is quantized.…

Chemical Physics · Physics 2015-11-26 A. Hashemloo , C. M. Dion

The purpose of this paper is to improve the modelization of the rotational mixing which occurs in stellar radiation zones, through the combined action of the thermally driven meridional circulation and of the turbulence generated by the…

Astrophysics · Physics 2009-11-10 S. Mathis , J. -P. Zahn

We derive an equation for the cooling dynamics of the quantum motion of an atom trapped by an external potential inside an optical resonator. This equation has broad validity and allows us to identify novel regimes where the motion can be…

Quantum Physics · Physics 2009-11-11 Stefano Zippilli , Giovanna Morigi

The dissociation of methane on transition metals is an important reaction in catalysis. It is the rate limiting step in steam reforming to produce syngas. Molecular beam experiments have shown that the energy in the internal vibrations are…

Chemical Physics · Physics 2007-05-23 Robin Milot

We investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to $16 \times 16$ spins. In the ordered phase, the model is predicted to exhibit dynamically constrained dynamics, leading to confinement of…

Quantum Physics · Physics 2025-04-29 Luka Pavešić , Daniel Jaschke , Simone Montangero

Motivated by the first experimental evidence of ferromagnetic behavior in a three-dimensional ultracold atomic gas, we explore the possibility of itinerant ferromagnetism in a trapped two-dimensional atomic gas. Firstly, we develop a…

Quantum Gases · Physics 2015-05-20 G. J. Conduit

We investigate the dynamics of a rotating Morse wave packet, appropriate for a ro-vibrating diatomic molecule. The coupling between vibrational and rotational degrees of freedom is explicated in real position space as well as in phase space…

Quantum Physics · Physics 2009-07-20 Utpal Roy , Suranjana Ghosh

We use an effective Hamiltonian to characterize particle dynamics and find escape rates in a periodically kicked Hamiltonian. We study a model of particles in storage rings that is described by a chaotic symplectic map. Ignoring the…

Statistical Mechanics · Physics 2017-07-31 Archishman Raju , Sayan Choudhury , David L. Rubin , Amie Wilkinson , James P. Sethna

We used for the first time the method of periodic orbit dividing surfaces in a non-integrable Hamiltonian system with three degrees of freedom. We have studied the structure of these four dimensional objects in the five dimensional phase…

Chaotic Dynamics · Physics 2022-05-11 Matthaios Katsanikas , Stephen Wiggins

Solar jets, collimated plasma ejections driven by magnetic reconnection, play a vital role in energy transport and coronal heating. While rotational motions in jets are often attributed to magnetic field untwisting, alternative explanatory…

Solar and Stellar Astrophysics · Physics 2026-02-25 Lei Huang , Yang Guo , Zhen Li , Jinhan Guo , Mingde Ding

Recent progress in the study of dynamical phase transitions has been made with a large-deviation approach to study trajectories of stochastic jumps using a thermodynamic formalism. We study this method applied to an open quantum system…

Quantum Physics · Physics 2012-05-31 Sam Genway , Juan P. Garrahan , Igor Lesanovsky , Andrew D. Armour

We examine the interactions between actively rotating proteins moving in a membrane. Experimental evidence suggests that such rotor proteins, like the ATP synthases of the inner mitochondrial membrane, can arrange themselves into lattices.…

Soft Condensed Matter · Physics 2019-10-09 Naomi Oppenheimer , David B. Stein , Michael J. Shelley

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

Resonances are among the clearest quantum mechanical signatures of scattering processes. Previously, shape resonances and Feshbach resonances have been observed in inelastic and reactive collisions involving atoms or diatomic molecules.…

Chemical Physics · Physics 2015-05-05 Justin Jankunas , Krzysztof Jachymski , Michal Hapka , Andreas Osterwalder

We experimentally investigate the effects of phase noise on the resonant and non-resonant dynamics of the atom-optics kicked rotor. Employing sinusoidal phase modulation at various frequencies, resonances are found corresponding to periodic…

Quantum Physics · Physics 2014-11-21 D. H. White , S. K. Ruddell , M. D. Hoogerland

We study a Hamiltonian system of type describing a charged particle resonant interaction with an electromagnetic wave. We consider an ensemble of particles that repeatedly pass through the resonance with the wave, and study evolution of the…

Plasma Physics · Physics 2017-10-13 A. V. Artemyev , A. I. Neishtadt , A. A. Vasiliev , D. Mourenas

It is shown that metamagnetic transition in metals can occur via the formation of electronic nematic order. We consider a simple model where the spin-dependent Fermi surface instability gives rise to the formation of an electronic nematic…

Strongly Correlated Electrons · Physics 2009-11-10 Hae-Young Kee , Yong Baek Kim