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We study the general relativistic transonic accretion flow around the primary black hole, which forms the circumprimary disc (CPD), within a binary black hole (BBH) system. The BBH spacetime is characterized by the mass ratio ($q$) and the…

High Energy Astrophysical Phenomena · Physics 2026-02-10 Subhankar Patra , Bibhas Ranjan Majhi , Santabrata Das

Various analytic expressions have been proposed for the density profile of dark matter halos. We consider six of these expressions for which the density profile has a power-law fall-off rho proportional to r^{-3} at large radii and a…

Astrophysics · Physics 2007-05-23 Lawrence M. Widrow

We consider random Schr\"odinger equations on $\bZ^d$ for $d\ge 3$ with identically distributed random potential. Denote by $\lambda$ the coupling constant and $\psi_t$ the solution with initial data $\psi_0$. The space and time variables…

Mathematical Physics · Physics 2007-05-23 Laszlo Erdos , Manfred Salmhofer , Horng-Tzer Yau

It is shown that, if gas accretion via a disk onto the central supermassive black hole is efficient only for surface density Sigma >= 10 g/cm^2, the black hole mass - galactic bulge velocity dispersion relation (Tremaine et al 2002) is…

Astrophysics · Physics 2007-05-23 Renyue Cen

We provide a precise, model- and parametrization-independent dispersive determination of the $f_0(500)$, $\rho(770)$, $f_0(980)$, $f_2(1270)$, $f_0(1370)$, $\rho(1450)$, $f_0(1500)$, and $\rho_3(1690)$ resonance pole parameters. They are…

High Energy Physics - Phenomenology · Physics 2026-02-20 José Ramón Peláez , Pablo Rabán , Jacobo Ruiz de Elvira

In this paper, we consider the following $k$-dispersion problem. Given a set $S$ of $n$ points placed in the plane in a convex position, and an integer $k$ ($0<k<n$), the objective is to compute a subset $S'\subset S$ such that $|S'|=k$ and…

Computational Geometry · Computer Science 2022-05-05 Vishwanath R. Singireddy , Manjanna Basappa

We study the behavior of a monolayer, which occupies initially a bounded region on an ideal crystalline surface and then evolves in time due to random hopping motion of the monolayer particles. In the case when the initially occupied region…

Soft Condensed Matter · Physics 2007-05-23 G. Oshanin , J. De Coninck , A. M. Cazabat , M. Moreau

This article presents, for the first time, the application of diffusion models for generating jet images corresponding to proton-proton collision events at the Large Hadron Collider (LHC). The kinematic variables of quark, gluon, W-boson,…

High Energy Physics - Phenomenology · Physics 2025-08-04 Victor D. Martinez , Vidya Manian , Sudhir Malik

Thermally excited waves in a Plasma crystal were numerically simulated using a Box_Tree code. The code is a Barnes_Hut tree code proven effective in modeling systems composed of large numbers of particles. Interaction between individual…

Plasma Physics · Physics 2009-11-10 K. Qiao , T. W. Hyde

The one-dimensional quantum Heisenberg model with random $\pm J$ bonds is studied for $S=\frac{1}{2}$ and $S=1$. The specific heat and the zero-field susceptibility are calculated by using high-temperature series expansions and quantum…

Condensed Matter · Physics 2009-10-28 A. Furusaki , M. Sigrist , E. Westerberg , P. A. Lee , K. B. Tanaka , N. Nagaosa

In a previous paper [Phys. Rev. A 105, 042205 (2022)], the distribution of resonance poles in the complex plane of the wavenumber $k$ associated to the multiple scattering of a quantum particle in a random point field was numerically…

Quantum Physics · Physics 2024-06-14 David Gaspard , Jean-Marc Sparenberg

In this paper, we will consider the problem that how far from Hunt's hypothesis (H) to symmetrization for a general 1-dimensional diffusion. A characterization of (H) involving the classification of points for this diffusion will be first…

Probability · Mathematics 2021-07-26 Liping Li

In this paper, after a brief review of the general theory of dispersive waves in dissipative media, we present a complete discussion of the dispersion relations for both the ordinary and the time-fractional Cattaneo-Maxwell heat equations.…

Statistical Mechanics · Physics 2018-01-25 Andrea Giusti

We present the numerical dispersion effects in solving the convected Helmholtz equation by the conforming and nonconforming quadrilateral finite elements. Particularly, we evaluate the dispersion relations for the numerical schemes. The…

Numerical Analysis · Mathematics 2015-06-10 Ohsung Kwon , Imbo Sim

We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-frequency solutions whose propagation can be described, both…

Analysis of PDEs · Mathematics 2018-06-26 Umberto Biccari , Aurora Marica , Enrique Zuazua

We consider the propagation of photons in a model of a charged scalar Bose-Einstein (BE) condensate. We determine the dispersion relations of the collective modes, as well as the photon polarization tensor and the dielectric constant in the…

High Energy Physics - Phenomenology · Physics 2024-08-01 José F. Nieves , Sarira Sahu

The motion of a single hole in an arbitrary magnetic background is investigated for the 2D t-J model. The wavefunction of the hole is described within a generalized string picture which leads to a modified concept of spin polarons. We…

Strongly Correlated Electrons · Physics 2009-10-30 Matthias Vojta , Klaus W. Becker

We study the t-J model with four holes on a 32-site square lattice using exact diagonalization. This system corresponds to doping level x=1/8. At the ``realistic'' parameter J/t=0.3, holes in the ground state of this system are unbound.…

Strongly Correlated Electrons · Physics 2009-11-11 P. W. Leung

We show that a suitable setting for comparison of the low-energy representation for pion-pion scattering amplitudes, with dispersive representation for these amplitudes, is provided by certain manifestly crossing symmetric dispersion…

High Energy Physics - Phenomenology · Physics 2009-08-27 B. Ananthanarayan

A new method of self-consistent quantum calculation of the density of the space charge near the surface of a crystal is carried out for the semiconductor with nonparabolic (Kane) dispersion law of bands. The remarkable feature is the…

Condensed Matter · Physics 2009-10-31 A. M. Yafyasov , I. M. Ivankiv , V. B. Bogevolnov