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We study fractal properties of systems of densely and randomly packed disks, obeying a power-law distribution of radii, which is generated by using various protocols: Delaunay triangulation (DT) and constant pressure (CP) protocols, and the…

软凝聚态物质 · 物理学 2026-01-22 Artem A. Vladimirov , Alexander Yu. Cherny , Eugen M. Anitas , Vladimir A. Osipov

Saturn's rings consist of a huge number of water ice particles, with a tiny addition of rocky material. They form a flat disk, as the result of an interplay of angular momentum conservation and the steady loss of energy in dissipative…

地球与行星天体物理 · 物理学 2015-08-06 Nikolai Brilliantov , Pavel Krapivsky , Anna Bodrova , Frank Spahn , Hisao Hayakawa , Vladimir Stadnichuk , Juergen Schmidt

The Universe that we know is populated by structures made up of aggregated matter that organizes into a variety of objects; these range from stars to larger objects, such as galaxies or star clusters, composed by stars, gas and dust in…

天体物理学 · 物理学 2008-02-03 J. Pérez-Mercader

We present a number models describing the sequential deposition of a mixture of particles whose size distribution is determined by the power-law $p(x) \sim \alpha x^{\alpha-1}$, $x\leq l$ . We explicitly obtain the scaling function in the…

统计力学 · 物理学 2016-08-31 M K Hassan

A scaling variable for electron scattering off nuclei in the Delta-region is shown to exist. A scaling law for a large variety of scattering data with different kinematics is found. This property turns out to be very sensitive to the…

核理论 · 物理学 2009-10-28 R. Cenni , P. Saracco

A simple fragmentation model is introduced and analysed. We show that, under very general conditions, an effective power law for the mass distribution arises with realistic exponent. This exponent has a universal limit, but in practice the…

凝聚态物理 · 物理学 2009-10-28 M. Marsili , Y. -C. Zhang

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

凝聚态物理 · 物理学 2009-10-28 Daniel A. Hamburger-Lidar

We calculate high energy massive scattering amplitudes of closed bosonic string compactified on the torus. We obtain infinite linear relations among high energy scattering amplitudes. For some kinematic regimes, we discover that some linear…

高能物理 - 理论 · 物理学 2008-11-26 Jen-Chi Lee , Yi Yang

Elastic light scattering by low-dimensional semiconductor objects is investigated theoretically. The differential cross section of resonant light scattering on excitons in quantum dots is calculated. The polarization and angular…

介观与纳米尺度物理 · 物理学 2009-11-11 I. G. Lang , L. I. Korovin , S. T. Pavlov

We relate ordinary and skewed parton distributions to soft overlap contributions to elastic form factors and large angle Compton scattering, using light-cone wave functions in a Fock state expansion of the nucleon. With a simple ansatz for…

高能物理 - 唯象学 · 物理学 2011-09-13 M. Diehl , T. Feldmann , R. Jakob , P. Kroll

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

数学物理 · 物理学 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

We study here the small-angle scattering structure factor for deterministic fat fractals in the reciprocal space. It is shown that fat fractals are exact self-similar in the range of iterations having the same values of the scaling factor,…

统计力学 · 物理学 2015-07-17 E. M. Anitas

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

介观与纳米尺度物理 · 物理学 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and…

统计力学 · 物理学 2009-10-31 Dibyendu Das , Mustansir Barma

Particles floating on the surface of a turbulent incompressible fluid accumulate along string-like structures, while leaving large regions of the flow domain empty. This is reflected experimentally by a very peaked probability distribution…

统计力学 · 物理学 2015-05-14 Jason Larkin , M. M. Bandi , Alain Pumir , Walter I. Goldburg

Based upon the rate equations for the photon distribution function obtained in the previous paper, we study the inverse Compton scattering process for high-energy nonthermal electrons. Assuming the power-law electron distribution, we find a…

宇宙学与河外天体物理 · 物理学 2010-04-06 Satoshi Nozawa , Yasuharu Kohyama , Naoki Itoh

We argue that one cannot correctly calculate the elastic scattering S-matrix for high-energy dipole-dipole scattering, in the region where S is small, without taking fluctuations into account. The relevant fluctuations are rare and…

高能物理 - 唯象学 · 物理学 2011-01-25 Edmond Iancu , A. H. Mueller

In the single-scattering theory of electromagnetic radiation, the {\it fractal regime} is a definite range in the photon momentum-transfer $q$, which is characterized by the scaling-law behavior of the structure factor: $S(q) \propto…

软凝聚态物质 · 物理学 2019-03-20 Nisha Katyal , Robert Botet , Sanjay Puri

We study the behaviour of the power spectrum (PS) in the case of fractal structures. We show that in this case the main observational features of the PS, the large scale flattening and the scaling of the amplitude with sample depth, are…

天体物理学 · 物理学 2007-05-23 F. Sylos Labini , L. Amendola

Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared…

高能物理 - 理论 · 物理学 2018-10-17 Alok Laddha , Ashoke Sen