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We propose to modify the saturation model of Golec-Biernat and Wusthoff by including DGLAP evolution. We find considerable improvement for the total deep inelastic cross section, in particular in the large Q^2 region. The successful…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. Bartels , K. Golec-Biernat , H. Kowalski

We present a systematic analysis of diffusion-controlled evolution and collapse of two identical spatially separated $d$-dimensional $A$-particle islands in the $B$-particle sea at propagation of the sharp reaction front $A+B\to 0$ at equal…

Statistical Mechanics · Physics 2019-12-25 Boris M. Shipilevsky

We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive…

Statistical Mechanics · Physics 2024-10-22 H. Bendekgey , G. Huber , D. Yllanes

In this paper we consider the process of diffraction dissociation in deep inelastic scattering producing a small mass. This process is analyzed by the calculation of $\bar q\, q$ and $\bar q\, q\, G$ production. We show that the small…

High Energy Physics - Phenomenology · Physics 2011-07-19 Errol Gotsman , Eugene Levin , Uri Maor

We examine diffractive proton-proton scattering p p -> p X and photo- and electroproduction of \rho^0 mesons \gamma^(*) p -> \rho^0 X, where X denotes a proton or a final state, into which the proton can go by diffractive dissociation.…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , O. Nachtmann , T. Paulus , S. Weinstock

We report on calculations of the translational and rotational short-time self-diffusion coefficients $D^t_s$ and $D^r_s$ for suspensions of charge-stabilized colloidal spheres. These diffusion coefficients are affected by electrostatic…

Soft Condensed Matter · Physics 2009-10-30 M. Watzlawek , G. Naegele

We study the dipole picture of high-energy virtual-photon-proton scattering. It is shown that different choices for the energy variable in the dipole cross section used in the literature are not related to each other by simple arguments…

High Energy Physics - Phenomenology · Physics 2011-03-28 Carlo Ewerz , Andreas von Manteuffel , Otto Nachtmann

Using a perturbative model for diffractive interactions, we derive an expression for the polarized diffractive structure function $g_1^D$ in the high energy limit. This structure function is given by the interference of diffractive…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bartels , T. Gehrmann , M. G. Ryskin

On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the…

Computational Physics · Physics 2007-05-23 V. V. Yatsyk

It is shown that in ultrahigh energy inelastic neutrino-nucleon(nucleus) scattering the cross sections for the boson-hadron(nucleus) reactions should exhibit geometric scaling on the single variable tau_A =Q2/Q2_{sat,A}. The dependence on…

High Energy Physics - Phenomenology · Physics 2009-11-11 Magno V. T. Machado

We use the AdS/CFT correspondence and the holographic softwall model to investigate the Deep Inelastic Scattering (DIS) in the exponentially small $x$ (Bjorken Parameter) regime. We calculate the corresponding structure functions for scalar…

High Energy Physics - Theory · Physics 2016-01-06 Eduardo Folco Capossoli , Henrique Boschi-Filho

We review the recent developments of the use of the homotopy method for solving the non-linear evolution equation for the diffractive production in deep inelastic scattering. We introduce part of the non-linear corrections in the linear…

High Energy Physics - Phenomenology · Physics 2025-02-17 Carlos Contreras , José Garrido , Eugene Levin , Rodrigo Meneses

Solutions are investigated for 1D linear counter-current spontaneous imbibition (COUSI). The diffusion problem is scaled to depend only on a normalized coefficient {\Lambda}_n (S_n ) with mean 1 and no other parameters. A dataset of 5500…

Fluid Dynamics · Physics 2022-11-15 Pål Østebø Andersen

The contribution to diffraction dissociation of virtual photons due to quasi-elastic scattering of the $q$-$\bar q$ component is calculated in the framework of the QCD dipole picture. Both longitudinal and transverse components of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

In this paper the inverse scattering problem for the nonstationary Dirac-type system on the whole plane was considered. A nonlinear evolution sytem of equation related to nonstationary Dirac-type system is introduced and the solviblity of…

Mathematical Physics · Physics 2009-08-20 Mansur I Ismailov

Deep inelastic scattering and its diffractive component, $ep \to e^{\prime}\gamma^* p \to e^{\prime}XN$, have been studied at HERA with the ZEUS detector using an integrated luminosity of 52.4 pb$^{-1}$. The $M_X$ method has been used to…

High Energy Physics - Experiment · Physics 2011-02-03 ZEUS Collaboration , S. Chekanov

Recent experimental data on diffractive deep inelastic scattering collected by the H1 and ZEUS Collaborations at HERA are analysed in a model with a non-linear trajectory in the pomeron flux. The $t$ dependence of the diffractive structure…

High Energy Physics - Phenomenology · Physics 2011-07-19 R. Fiore , L. L. Jenkovszky , F. Paccanoni

Using the Good and Walker picture, we derive a simple formula for diffractive dissociation that can apply to recent data collected at HERA in the low Q2 regime.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Munier , A. Shoshi

We deal with the problem of separation of time-scales and filamentation in a linear drift-diffusion problem posed on the whole space $\mathbb{R}^2$. The passive scalar considered is stirred by an incompressible flow with radial symmetry. We…

Analysis of PDEs · Mathematics 2019-07-10 Michele Coti Zelati , Michele Dolce

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler
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