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In a recent letter [Phys.Rev.Lett. {\bf 30}, 3269 (1995), chao-dyn/9510011], we reported that a macroscopic chaotic determinism emerges in a multistable system: the unidirectional motion of a dissipative particle subject to an apparently…

chao-dyn · Physics 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

We investigate chaotic dynamical systems for which the intensity of trajectories might grow unlimited in time. We show that (i) the intensity grows exponentially in time and is distributed spatially according to a fractal measure with an…

Chaotic Dynamics · Physics 2015-03-26 Eduardo G. Altmann , Jefferson S. E. Portela , Tamás Tél

This paper explores the chaotic properties of an advection system expressed in difference equations form. In the beginning the Aref's blinking vortex system is examined. Then several new lines are explored related to the sink problem (one…

Chaotic Dynamics · Physics 2007-05-23 Christos H. Skiadas

The coherent process of particle deflection by aligned atomic strings and planes of oriented crystals is accompanied by incoherent scattering by atomic cores. While the coherent particle deflection, described by the axial or planar averaged…

Accelerator Physics · Physics 2020-04-14 Victor V. Tikhomirov

Simultaneous manipulation of charge and spin density distributions in materials is the key element required in spintronics applications. Here we study the formation of coupled spin and charge densities arising in scattering of electrons by…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 S. Wolski , V. K. Dugaev , E. Ya. Sherman

A consistent theory, which describes the incoherent scattering of classically moving relativistic particles by the nuclei of crystal planes without any phenomenological parameter is presented. The basic notions of quantum mechanics are…

Accelerator Physics · Physics 2021-03-05 Victor V. Tikhomirov

Anelastic light scattering is computed numerically for model disordered systems (linear chains and 2-dimensional site and bond percolators), with and without electrical disorder. A detailed analysis of the vibrational modes and of their…

Condensed Matter · Physics 2015-06-25 P. Benassi , W. Frizzera , M. Montagna , G. Viliani , V. Mazzacurati , G. Ruocco , G. Signorelli , .

The onset of chaos in one-dimensional spinning particle models derived from pseudoclassical mechanical hamiltonians with a bosonic Duffing potential is examined. Using the Melnikov method, we indicate the presence of homoclinic…

Chaotic Dynamics · Physics 2009-11-07 H. T. Cho , J. -K. Kao

We perform a detailed study of the chaotic component in mixed-type Hamiltonian systems on the example of a family of billiards [introduced by Robnik in J. Phys. A: Math. Gen. 16, 3971 (1983)]. The phase space is divided into a grid of cells…

Chaotic Dynamics · Physics 2021-04-14 Črt Lozej , Marko Robnik

The wave properties of complex scattering systems that are large compared to the wavelength, and show chaos in the classical limit, are extremely sensitive to system details. A solution to the wave equation for a specific configuration can…

Disordered Systems and Neural Networks · Physics 2019-12-24 Shukai Ma , Bo Xiao , Ron Hong , Bisrat Addissie , Zachary Drikas , Thomas Antonsen , Edward Ott , Steven Anlage

We analyse the spatial inhomogeneities ('spatial clustering') in the distribution of particles accelerated by a force that changes randomly in space and time. To quantify spatial clustering, the phase-space dynamics of the particles must be…

Statistical Mechanics · Physics 2021-02-04 J. Meibohm , K. Gustavsson , J. Bec , B. Mehlig

We investigate the scattering properties of one-dimensional, periodically and non-periodically forced oscillators. The pattern of singularities of the scattering function, in the periodic case, shows a characteristic hierarchical structure…

Mathematical Physics · Physics 2012-06-12 Andrea Cintio , Fulvio Cornolti

We study the scattering of infrared light by small dielectric core-shell particles taking a sapphire sphere with a CaO core as an example. The extinction efficiency of such a particle shows two intense series of resonances attached,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 E. Thiessen , F. X. Bronold , R. L. Heinisch , H. Fehske

The effective permittivity dyadic of a composite material containing particulate constituent materials with one constituent having the ability to display the Pockels effect is computed, using an extended version of the…

Optics · Physics 2009-11-13 Tom G. Mackay , Akhlesh Lakhtakia

The fragmentation of a two-dimensional circular disc by lateral impact is investigated using a cell model of brittle solid. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bhupalendra Behera , Ferenc Kun , Sean McNamara , Hans J. Herrmann

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

The so-called Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions have recently been cast into a system of homogeneous polynomials. We study these as affine and projective…

High Energy Physics - Theory · Physics 2015-06-19 Yang-Hui He , Cyril Matti , Chuang Sun

We present a comprehensive study of the polarization and spatial coherence properties of the lasing modes supported by a 4-fold symmetric plasmonic lattice. By modifying only, the scattering properties of the individual particles while…

The selection rules for dipole and Raman activity can be relaxed due to local distortion of a crystalline structure. In this situation a dipole-inactive mode can become simultaneously active in Raman scattering and in dipole interaction…

Disordered Systems and Neural Networks · Physics 2009-09-25 Lev I. Deych , M. Erementchouk , V. A. Ignatchenko

Experiments have shown that self-propelled particles can slide along the surface of a circular obstacle without becoming trapped over long times. Using simulations and theory, we study the impact of boundary conditions on the diffusive…

Biological Physics · Physics 2019-01-30 Theresa Jakuszeit , Ottavio A. Croze , Samuel Bell
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