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A stable soliton configuration for a nucleon emerges when the nucleon stability and $\Sigma_N$ term discrepancy problems are studied semi-quantitatively within a local theory developed recently. The approach developed here goes beyond the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Ying

The form and stability properties of axisymmetric and spherically symmetric stationary states in two and three dimensions, respectively, are elucidated for Bose-Einstein condensates. These states include the ground state, central vortices,…

Other Condensed Matter · Physics 2009-11-10 L. D. Carr , Charles W. Clark

This paper investigates numerical methods for approximating the ground state of Bose--Einstein condensates (BECs) by introducing two relaxed formulations of the Gross--Pitaevskii energy functional. These formulations achieve first- and…

Numerical Analysis · Mathematics 2025-07-30 Jing Guo , Yongyong Cai , Dong Wang

In this article, we motivate the detailed comparison of the physical properties of individual configurations of a ferroelectric solid solution as a means toward developing first principles models for these systems. We compare energies,…

Materials Science · Physics 2009-10-31 Eric Cockayne , Karin M. Rabe

Using the variational approximation(VA) and direct simulations, we find stable 2D and 3D solitons in the self-attractive Gross-Pitaevskii equation (GPE) with a potential which is uniform in one direction ($z$) and periodic in the others…

Soft Condensed Matter · Physics 2009-09-13 B. B. Baizakov , B. A. Malomed , M. Salerno

Quantum Monte Carlo is an efficient technique for finding the ground-state energy and related properties of small molecules. A major challenge remains in accurate determination of a molecule's geometry, i.e. the optimal location of its…

Computational Physics · Physics 2017-04-12 Jan Vrbik

The time evolution of the adiabatic piston problem and the consequences of its stochastic motion are investigated. The model is a one dimensional piston of mass $M$ separating two ideal fluids made of point particles with mass $m\ll M$. For…

Condensed Matter · Physics 2009-10-31 Ch. Gruber , L. Frachebourg

Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior…

Quantum Gases · Physics 2019-05-22 B. B. Baizakov , S. M. Al-Marzoug , U. Al Khawaja , H. Bahlouli

We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

Mesoscale and Nanoscale Physics · Physics 2022-05-20 A. A. Zabolotnykh

In the present contribution, we explore a host of different stationary states, namely dark-bright solitons and their lattices, that arise in the context of multi-component atomic Bose-Einstein condensates. The latter, are modeled by systems…

Quantum Gases · Physics 2015-06-18 D. Yan , F. Tsitoura , P. G. Kevrekidis , D. J. Frantzeskakis

We analyze the stability of non-ground nonlinear states of a Bose-Einstein condensate in the mean field limit in effectively 1D (``cigar-shape'') traps for various types of confining potentials. We find that nonlinear states become, in…

Pattern Formation and Solitons · Physics 2009-11-13 Dmitry A. Zezyulin , Georgy L. Alfimov , Vladimir V. Konotop , Victor M. Perez-Garcia

In previous work stable approximately axisymmetric equilibrium configurations for magnetic stars were found by numerical simulation. Here I investigate the conditions under which more complex, non-axisymmetric configurations can form. I…

Astrophysics · Physics 2009-11-13 J. Braithwaite

Electron beams in two-dimensional systems can provide a useful tool to study energy-momentum relaxation of electrons and to generate microwave radiation stemming from plasma-beam instabilities. Naturally, these two applications cannot…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Dmitry Svintsov

Basic models which give rise to one- and two-dimensional (1D and 2D) solitons, such as the Gross-Pitaevskii (GP) equations for Bose-Einstein condensates (BECs), feature the Galilean invariance, which makes it possible to generate families…

Pattern Formation and Solitons · Physics 2022-10-26 Boris A. Malomed

Diocotron instability has been observed in the pure electron plasma formed in a split cathode coaxial diode. This plasma consists of electrons, trapped in the longitudinal potential well between the two parts of the cathode. The…

Plasma Physics · Physics 2023-01-24 Y. Bliokh , Ya. E. Krasik , J. G. Leopold , E. Schamiloglu

An accurate method to compute the annihilation rate in positronic systems by means of quantum Monte Carlo simulations is tested and compared with previously proposed methods using simple model systems. This method can be applied within all…

Chemical Physics · Physics 2009-11-07 Massimo Mella , Simone Chiesa , Gabriele Morosi

The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the…

Other Condensed Matter · Physics 2009-11-11 I. Kourakis , P. K. Shukla , M. Marklund , L. Stenflo

The complex crystal chemistry of elemental boron has led to numerous proposed structures with distinctive motifs as well as contradictory findings. Herein, evolutionary structure searches performed at 100 GPa have uncovered a series of…

Materials Science · Physics 2021-05-19 Katerina P. Hilleke , Eva Zurek , Tadashi Ogitsu , Shuai Zhang

Two-species hard-core bosons trapped in a three-dimensional isotropic harmonic potential are studied with the path-integral quantum Monte Carlo simulation. The double condensates show two distinct structures depending on how the external…

Condensed Matter · Physics 2007-05-23 Hong Ma , Tao Pang

Positron creation probabilities as well as energy and angular distributions of outgoing positrons in slow collisions of two identical heavy nuclei are obtained within the two-center approach beyond the monopole approximation. The…

High Energy Physics - Phenomenology · Physics 2024-11-13 N. K. Dulaev , D. A. Telnov , V. M. Shabaev , Y. S. Kozhedub , I. A. Maltsev , R. V. Popov , I. I. Tupitsyn
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