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We consider the hierarchic tree Random Energy Model with continuous branching and calculate the moments of the corresponding partition function. We establish the multifractal properties of those moments. We derive formulas for the normal…

Statistical Mechanics · Physics 2015-06-12 David B. Saakian

We study coherent diffractive photon and vector meson production in electron-proton and electron-nucleus collisions within the Color Glass Condensate effective field theory. We show that electron-photon and electron-vector meson azimuthal…

High Energy Physics - Phenomenology · Physics 2024-05-07 Heikki Mäntysaari , Kaushik Roy , Farid Salazar , Björn Schenke

The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

We consider a continuous-time branching random walk on $\mathbb{Z}$ in a random non homogeneous environment. Particles can walk on the lattice points or disappear with random intensities. The process starts with one particle at initial time…

Probability · Mathematics 2023-12-12 Vladimir Kutsenko , Stanislav Molchanov , Elena Yarovaya

The process of `Evolutionary Diffusion', i.e. reproduction with local mutation but without selection in a biological population, resembles standard Diffusion in many ways. However, Evolutionary Diffusion allows the formation of local peaks…

Populations and Evolution · Quantitative Biology 2007-05-23 Daniel John Lawson , Henrik Jeldtoft Jensen

Through the analysis of unbiased random walks on fractal trees and continuous time random walks, we show that even if a process is characterized by a mean square displacement (MSD) growing linearly with time (standard behaviour) its…

Statistical Mechanics · Physics 2014-06-16 Giuseppe Forte , Fabio Cecconi , Angelo Vulpiani

Elastic scattering is a very important process to understand nuclear interactions in finite nuclei. Despite decades of efforts, the goal of reaching a coherent description of this physical process in terms of microscopic forces is still far…

Nuclear Theory · Physics 2018-12-12 Matteo Vorabbi , Paolo Finelli , Carlotta Giusti

Since the discovery of electron-wave duality, electron scattering instrumentation has developed into a powerful array of techniques for revealing the atomic structure of matter. Beyond detecting local lattice variations in equilibrium…

Atomic diffusion is usually understood as a succession of random, independent displacements of an adatom over the surface's potential energy landscape. Nevertheless, an analysis of Molecular Dynamics simulations of self-diffusion on Cu(111)…

Other Condensed Matter · Physics 2016-08-16 J. Ferrón , L. Gómez , J. J. de Miguel , R. Miranda

Using the eikonal approximation, we show that inclusive gluon production is related to the scattering of a gluon-gluon dipole while diffractive gluon production in DIS is related to a two-$q\bar q$ dipole scattering amplitude. Hence…

High Energy Physics - Phenomenology · Physics 2009-11-11 Cyrille Marquet

The r\^{o}le of inelastic diffraction in elastic scattering of nuclei is studied in the formalism of \emph{diffractive limit}. The results obtained for scattering of the $\alpha$--particles on light nuclei show that the nucleonic…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. MaŁecki , D. Goc-JagŁo

We calculate the cross section for diffractive hadron production in deep inelastic scattering off heavy nuclei in the framework of gluon saturation/color glass condensate. We analyze the kinematic region of the future Electron-Ion Collider.…

High Energy Physics - Phenomenology · Physics 2015-03-17 Kirill Tuchin , Dajing Wu

Nuclear surface provides useful information on nuclear radius, nuclear structure as well as properties of nuclear matter. We discuss the relationship between the nuclear surface diffuseness and elastic scattering differential cross section…

Nuclear Theory · Physics 2018-06-13 S. Hatakeyama , W. Horiuchi , A. Kohama

In this article, we study a simple random walk on a decorated Galton-Watson tree, obtained from a Galton-Watson tree by replacing each vertex of degree $n$ with an independent copy of a graph $G_n$ and gluing the inserted graphs along the…

Probability · Mathematics 2022-08-02 Eleanor Archer

We derive an evolution equation describing the high energy behavior of the cross section for the single diffractive dissociation in deep inelastic scattering on a hadron or a nucleus. The evolution equation resums multiple BFKL pomeron…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yuri V. Kovchegov , Eugene Levin

We address the general features of event-by-event fluctuations of the multiplicity of gluons produced in the scattering of a dilute hadron off a large nucleus at high energy in the fragmentation region of the dilute hadron. We relate these…

High Energy Physics - Phenomenology · Physics 2017-01-11 Tseh Liou , A. H. Mueller , S. Munier

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

The behavior of a spin undergoing Larmor precession in the presence of fluctuating fields is of interest to workers in many fields. The fluctuating fields cause frequency shifts and relaxation which are related to their power spectrum,…

Statistical Mechanics · Physics 2016-06-15 Christopher M. Swank , Alexander K. Petukhov , Robert Golub

We derive a self-duality relation for a one-dimensional model of branching and annihilating random walkers with an even number of offsprings. With the duality relation and by deriving exact results in some limiting cases involving fast…

Statistical Mechanics · Physics 2009-10-31 K. Mussawisade , J. E. Santos , G. M. Schütz , ;