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We develop a new numerical method for thin plates falling in inviscid fluid that allows for leading-edge vortex shedding. The inclusion of leading-edge shedding restores physical dynamics to vortex-sheet models of falling bodies, and for…

Fluid Dynamics · Physics 2025-10-02 Yu Jun Loo , Silas Alben

In this paper we consider the real-valued mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. We prove the dichotomy between scattering and blow-up below the ground state energy in the focusing case, and the…

Analysis of PDEs · Mathematics 2022-08-09 Xing Cheng , Zihua Guo , Satoshi Masaki

A vortex line passes through as many pinning centers as possible on its way from one extremety of the superconductor to the other at the expense of increasing its self-energy. In the framework of the Ginzburg-Landau theory we study the…

Superconductivity · Physics 2007-05-23 Antonio R. de C. Romaguera , Mauro M. Doria

Interfacial instability would be aroused on a spherical liquid droplet when it is subject to external vertical vibration. In this paper, a linear analysis was conducted on this instability problem. The polar-angle dependent acceleration in…

Fluid Dynamics · Physics 2022-03-23 Yikai Li , Kun Wu , Dehua Liu , Ru Xi

Based on the analysis of the velocity gradient tensor, we investigate in this paper the physical interpretation and limitations of four vortex criteria: $\omega$, $Q$, $\varDelta$ and $\lambda_{ci}$, and reveal the actual physical meaning…

Fluid Dynamics · Physics 2024-06-06 Zhen Li , Xiwen Zhang , Feng He

By finding rare (but not exponentially rare) large-angle deflections of partons within a jet produced in a heavy ion collision, or of such a jet itself, experimentalists can find the weakly coupled short-distance quark and gluon particles…

High Energy Physics - Phenomenology · Physics 2019-02-20 Francesco D'Eramo , Krishna Rajagopal , Yi Yin

Quantized vortices in a complex wave field described by a defocusing nonlinear Schr\"odinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external…

Pattern Formation and Solitons · Physics 2019-07-11 Victor P. Ruban

We study the dynamics of a dark-bright soliton interacting with a fixed impurity using a mean-field approach. The system is described by a vector nonlinear Schrodinger equation (NLSE) appropriate to multicomponent Bose-Einstein condensates.…

Quantum Gases · Physics 2019-09-04 Majed O. D. Alotaibi , Lincoln D. Carr

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

We prove the existence of critical points of the $N$-vortex Hamiltonian $H_\Omega (x_1,\ldots, x_N) =\sum\limits^N_{i=1}\Gamma^2_i h(x_i) + \sum\limits_{i,j=1\atop j\not= k}^N…

Analysis of PDEs · Mathematics 2015-10-28 Thomas Bartsch , Angela Pistoia

The subject of this paper is the scattering of a very intense laser pulse (intensity $I\sim10^{21}\;{\mathrm{W/cm^2}}$) on relativistic electrons with Lorentz factor between 10 and 45. The laser pulse is modeled by a plane wave with finite…

Quantum Physics · Physics 2011-10-18 Madalina Boca , Andreea Oprea

Thermodynamic stability of composite vortex in a two-component superconductor is investigated by the Ginzburg-Landau theory. The predicted nature of these vortices has recently attracted much attention. Here we consider axially symmetric…

Superconductivity · Physics 2013-05-29 Jun-Ping Wang

The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis and calculation of the reflection and transmission coefficients for the scattering of particles in a…

Quantum Physics · Physics 2008-11-26 Tatiana R. Cardoso , Antonio S. de Castro

The amount of information propagated by an intermediate heavy particle exhibits characteristic features in inelastic scatterings with $n\geq 3$ final particles. As the total energy increases, the entanglement entropy, between its decay…

High Energy Physics - Theory · Physics 2025-10-03 Chon Man Sou , Yi Wang , Xingkai Zhang

We calculate proton elastic and inelastic scatterings with a microscopic coupled channel (MCC) calculation. The localized diagonal and coupling potentials including the spin-orbit part are obtained by folding a complex $G$-matrix effective…

Nuclear Theory · Physics 2021-04-07 T. Furumoto , M. Takashina

The topic of this paper is a semi-linear, energy sub-critical, defocusing wave equation $\partial_t^2 u - \Delta u = - |u|^{p -1} u$ in the 3-dimensional space with $3\leq p<5$. We generalize inward/outward energy theory and weighted…

Analysis of PDEs · Mathematics 2019-10-23 Ruipeng Shen

A semi-infinite crack in infinite square lattice is subjected to a wave coming from infinity, thereby leading to its scattering by the crack surfaces. A partially damaged zone ahead of the crack-tip is modeled by an arbitrarily distributed…

Classical Physics · Physics 2023-12-21 Basant Lal Sharma , Gennady Mishuris

We use a discrete-time formulation to study the asymmetric avalanche process [Phys. Rev. Lett. vol. 87, 084301 (2001)] on a finite ring and obtain an exact expression for the average avalanche size of particles as a function of toppling…

Statistical Mechanics · Physics 2009-11-10 A. M. Povolotsky , V. B. Priezzhev , Chin-Kun Hu

Vorticity generated in heavy-ion collisions at energy of $\sqrt{s_{NN}}=$ 39 GeV is studied. Simulations are performed within a model of the three-fluid dynamics. A peculiar structure consisting of two vortex rings is found: one ring in the…

Nuclear Theory · Physics 2018-05-04 Yu. B. Ivanov , A. A. Soldatov

We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach…

Quantum Gases · Physics 2025-11-18 Bao-Duy Le , Dinh-Thi Nguyen