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We develop a general stability theory for equilibrium points of Poisson dynamical systems and relative equilibria of Hamiltonian systems with symmetries, including several generalisations of the Energy-Casimir and Energy-Momentum methods.…

Dynamical Systems · Mathematics 2007-05-23 George W. Patrick , Mark Roberts , Claudia Wulff

Inside living cells are complex mixtures of thousands of components. It is hopeless to try to characterise all the individual interactions in these mixtures. Thus, we develop a statistical approach to approximating them, and examine the…

Soft Condensed Matter · Physics 2007-05-23 Richard P. Sear , Jose A. Cuesta

The route toward a Bose-Einstein condensate of dipolar molecules requires the ability to efficiently associate dimers of different chemical species and transfer them to the stable rovibrational ground state. Here, we report on recent…

Other Condensed Matter · Physics 2009-05-15 G. Thalhammer , G. Barontini , J. Catani , F. Rabatti , C. Weber , A. Simoni , F. Minardi , M. Inguscio

In the present paper we consider the nonlinear interaction of high frequency intense electromagnetic (EM) beam with degenerate electron plasmas. In a slowly varying envelop approximation the beam dynamics is described by the couple of…

Plasma Physics · Physics 2021-05-19 V. I. Berezhiani , Z. N. Osmanov , S. M. Mahajan , S. V. Mikeladze

We predict solitary vortices in quasi-planar condensates of dipolar atoms, polarized parallel to the confinement direction, with the effective sign of the dipole-dipole interaction inverted by means of a rapidly rotating field. Energy…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

With recent developments in simulating nonadiabatic systems to high accuracy, it has become possible to determine how much energy is attributed to nuclear quantum effects beyond zero-point energy. In this work we calculate the…

Chemical Physics · Physics 2016-08-23 Yubo Yang , Ilkka Kylanpaa , Norm Tubman , Jaron Krogel , Sharon Hammes-Schiffer , David Ceperley

Monte Carlo simulations, supplemented by ab initio calculations, shed light into the energetics and thermodynamic stability of nanostructured amorphous carbon. The interaction of the embedded nanocrystals with the host amorphous matrix is…

Materials Science · Physics 2009-11-11 Maria G. Fyta , Pantelis C. Kelires

We study correlation effects and excitations in a dipolar Bose gas bilayer which is modeled by a one-dimensional double well trap that determines the width of an individual layer, the distance between the two layers, and the height of the…

Quantum Gases · Physics 2015-06-12 Diana Hufnagl , Robert E. Zillich

Mixtures of quantum fluids, that is gases or liquids, are considered with the emphasis on the conditions characterizing the stability of the mixtures. The mixtures, that can be formed by cold atoms or molecules, are assumed to be quantum…

Statistical Mechanics · Physics 2022-09-21 V. I. Yukalov

Using the effective mass theory and the multi-valley envelope function representation, we have developed a theoretical framework for computing the single-electron electronic structure of several phosphorus donors interacting in an arbitrary…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 M. V. Klymenko , S. Rogge , F. Remacle

With the recently emerging global interest in building a next generation of circular electron-positron colliders to study the properties of the Higgs boson, and other important topics in particle physics at ultra-high beam energies, it is…

Accelerator Physics · Physics 2015-05-25 Zhe Duan , Mei Bai , Desmond P. Barber , Qing Qin

A ring-shaped array of Bose-Einstein condensed atomic gases can display circular currents if the relative phase of neighboring condensates becomes locked to certain values. It is shown that, irrespective of the mechanism responsible for…

Condensed Matter · Physics 2009-11-07 Gh. -S. Paraoanu

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

We develop here the method for obtaining approximate stability boundaries in the space of parameters for systems with parametric excitation. The monodromy (Floquet) matrix of linearized system is found by averaging method. For system with 2…

Dynamical Systems · Mathematics 2019-12-24 Anton O. Belyakov , Alexander P. Seyranian

Monte Carlo simulations of slow positron production via energetic electron interaction with a solid target have been performed. The aim of the simulations was to determine the expected slow positron beam intensity from a low energy, high…

Accelerator Physics · Physics 2015-05-27 B. E. O'Rourke , N. Hayashizaki , A. Kinomura , R. Kuroda , E. Minehara , T. Ohdaira , N. Oshima , R. Suzuki

The Rice-Sneddon model for BaBiO$_3$ is a nice model Hamiltonian for considering the properties of polarons and bipolarons in a three-dimensional oxide crystal. We use exact diagonalization methods on finite samples to study the stability…

Condensed Matter · Physics 2009-10-28 Vladimir N. Kostur , Philip B. Allen

The configurations of the molecules nearest to a single vacancy in solid CO2 were studied by the Metropolis Monte Carlo (MC) simulation at temperatures T = 0, 100, and 200 K. It was found that distorted orientational configurations at T = 0…

Materials Science · Physics 2018-09-13 Koji Kobashi

Carbon monoxide molecules in their electronic, vibrational, and rotational ground state are highly attractive for trapping experiments. The optical or ac electric traps that can be envisioned for these molecules will be very shallow,…

A theoretical treatment based upon the quasi-chemical theory of solutions predicts the most probable number of water neighbors in the inner shell of a Li+ ion in liquid water to be four. The instability of a six water molecule inner sphere…

We study the linear stability of a circular orbit in a two-electron atom, with the inclusion of retardation and self-interaction effects. We calculate all the eigenvalues of the linear stability of the circular orbit, expanded up to third…

chao-dyn · Physics 2009-10-30 Jayme De Luca