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In this work, we aim to deepen the understanding of inertial clustering and the role of sling events in high-Reynolds number ($Re$) particle-laden turbulence. To this end, we perform one-way coupled particle tracking in flow fields obtained…

Fluid Dynamics · Physics 2025-01-09 Lukas A. Codispoti , Daniel W. Meyer , Patrick Jenny

The dynamics of models described by a one-dimensional discrete nonlinear Schr\"odinger equation is studied. The nonlinearity in these models appears due to the coupling of the electronic motion to optical oscillators which are treated in…

Condensed Matter · Physics 2009-10-28 P. K. Datta , K. Kundu

Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We report the experimental observation of two-time, ballistic…

Exactly Solvable and Integrable Systems · Physics 2026-01-30 Elias Charnay , Adrien Escoubet , Francois Copie , Stephane Randoux , Thibault Bonnemain , Alvise Bastianello , Pierre Suret

In this paper we prove several quantitative rigidity results for conformal immersions of surfaces in $\mathbb{R}^n$ with bounded total curvature. We show that (branched) conformal immersions which are close in energy to either a round…

Differential Geometry · Mathematics 2014-05-29 Tobias Lamm , Huy The Nguyen

We study the ground states of a 2D focusing non-linear Schr\"odinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from…

Analysis of PDEs · Mathematics 2022-08-18 Van Duong Dinh , Dinh-Thi Nguyen , Nicolas Rougerie

We consider stationary and propagating solutions for a Bose-Einstein condensate in a periodic optical potential with an additional confining optical or magnetic potential. Using an effective mass approximation we express the condensate…

Condensed Matter · Physics 2007-05-23 M. J. Steel , Weiping Zhang

We investigate magnetic properties induced by a spinless impurity in strongly correlated electron systems, i.e. the Hubbard model in the spatial dimension $D=1,2,$ and 3. For the 1D system exploiting the Bethe ansatz exact solution we find…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

We present a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics governed by the Schr\"odinger equation, in which the logarithm of the wave function is expanded in powers of a coupling constant.…

Quantum Physics · Physics 2026-04-17 Juan Carlos del Valle , Paul Bergold , Karolina Kropielnicka

The method for calculation of the correlation functions of the Ising-type systems with short-range interaction and with arbitrary value of spin is developed within cluster approximation. For the Ising model (spin $S^z=\pm1$) the expressions…

Condensed Matter · Physics 2007-05-23 R. R. Levitskii , S. I. Sorokov

The electronic structure of the lightly hole-doped triangular-lattice moir\'e Hubbard model is studied within cluster perturbation theory (CPT) using 13-site clusters for a fixed doping concentration $p=1/13$ varying the Coulomb parameter…

Strongly Correlated Electrons · Physics 2025-09-26 V. I. Kuz'min , M. A. Visotin , S. G. Ovchinnikov

Adiabatic mixed quantum/classical molecular dynamics simulations were used to generate snapshots of the hydrated electron (e-) in liquid water at 300 K. Water cluster anions that include two complete solvation shells centered on the e- were…

Data Analysis, Statistics and Probability · Physics 2016-09-28 Ilya A. Shkrob , William J. Glover , Ross E. Larsen , Benjamin J. Schwartz

Internal rotation is considered to play a major role in determining the structure and dynamics of some globular clusters. We present a dynamical analysis of the photometry and three-dimensional kinematics of 47 Tuc and omega Cen, by means…

Astrophysics of Galaxies · Physics 2013-02-05 Paolo Bianchini , Anna Lisa Varri , Giuseppe Bertin , Alice Zocchi

We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete…

Analysis of PDEs · Mathematics 2020-07-15 Ruiwen Shu , Eitan Tadmor

We consider the cubic nonlinear Schr\"odinger equation with a spatially rough potential, a key equation in the mathematical setup for nonlinear Anderson localization. Our study comprises two main parts: new optimal results on the…

Numerical Analysis · Mathematics 2024-03-26 Norbert J. Mauser , Yifei Wu , Xiaofei Zhao

The local nuclear and magnetic structure of wustite, Fe1-xO, and the coupling between them, has been examined using reverse Monte Carlo refinements of variable-temperature neutron total scattering data. The results from this analysis…

Materials Science · Physics 2015-06-17 Paul J. Saines , Matthew G. Tucker , David A. Keen , Anthony K. Cheetham , Andrew L. Goodwin

Magnetic droplets obtained by induced phase separation in a magnetic colloid show a large variety of shapes when exposed to an external field. However, the description of shapes is often limited. Here we formulate an algorithm based on…

Fluid Dynamics · Physics 2017-06-28 Janis Erdmanis , Guntars Kitenbergs , Regine Perzynski , Andrejs Cebers

The MHD version of the adaptive mesh refinement (AMR) code, MG, has been employed to study the interaction of thermal instability, magnetic fields and gravity through 3D simulations of the formation of collapsing cold clumps on the scale of…

Astrophysics of Galaxies · Physics 2020-11-11 C. J. Wareing , J. M. Pittard , S. A. E. G. Falle

Standard formulations of smoothed particle hydrodynamics (SPH) are unable to resolve mixing at fluid boundaries. We use an error and stability analysis of the generalised SPH equations of motion to prove that this is due to two distinct…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 J. I. Read , T. Hayfield , O. Agertz

In this paper we show how, under certain restrictions, the hydrodynamic equations for the freely evolving granular fluid fit within the framework of the time dependent Landau-Ginzburg (LG) models for critical and unstable fluids (e.g.…

Statistical Mechanics · Physics 2007-05-23 J. Wakou , R. Brito , M. H. Ernst

Inspired by recent experimental studies of local magnetic moments interacting with a metallic quasicrystal, we study the low-temperature fate of spins placed in two-dimensional tilings. In the diluted local moment limit, we calculate the…

Strongly Correlated Electrons · Physics 2024-10-17 Ronaldo N. Araújo , Carlo C. Bellinati , Eric C. Andrade