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The Fokker-Planck equation for a heavy particle in a granular fluid is derived from the Liouville equation. The host fluid is assumed to be in its homogeneous cooling state and all interactions are idealized as smooth, inelastic hard…

Statistical Mechanics · Physics 2007-05-23 J. W. Dufty , J. J. Brey

The impact of the form of the hadron potential at large distances on the behaviour of the hadron spin-flip amplitude at small angles is examined. The $t$-dependence of the spin-flip amplitude of high energy hadron elastic scattering is…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Predazzi , O. V. Selyugin

Saturation of gluon distribution is a consequence of the non-linear evolution equations of QCD. Saturation implies the existence of so called saturation momentum which is defined as a gluon density per unit rapidity per transverse area. At…

High Energy Physics - Phenomenology · Physics 2015-10-29 Michal Praszalowicz

In this theoretical paper, we investigate coherence properties of the near-resonant light scattered by two atoms exposed to a strong monochromatic field. To properly incorporate saturation effects, we use a quantum Langevin approach. In…

Quantum Physics · Physics 2016-08-24 Benoît Grémaud , Thomas Wellens , Dominique Delande , Christian Miniatura

The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

High Energy Physics - Phenomenology · Physics 2008-11-26 I Balitsky

In this paper we continue our program to construct a model for high energy soft interactions, based on the CGC/saturation approach. We demonstrate that in our model which describes diffractive physics as well as multi-particle production at…

High Energy Physics - Phenomenology · Physics 2016-04-27 E. Gotsman , E. Levin , U. Maor , S. Tapia

The main question, that we answer in this paper, is whether the initial condition can influence on the geometric scaling behavior of the amplitude for DIS at high energy. We re-write the non-linear Balitsky-Kovchegov equation in the form…

High Energy Physics - Phenomenology · Physics 2015-05-28 Andrey Kormilitzin , Eugene Levin , Sebastian Tapia

We investigate the transfer of power between different scales and coupling of modes during non-linear evolution of gravitational clustering in an expanding universe. We start with a power spectrum of density fluctuations that is…

Astrophysics · Physics 2015-06-24 J. S. Bagla , T. Padmanabhan

We investigate the dynamics of a particle executing a general Continuous Time Random Walk (CTRW) in three dimensions under the influence of arbitrary time-varying external fields. Contrary to the general approach in recent works, our method…

Statistical Mechanics · Physics 2011-12-15 Shovan Dutta , Subhankar Ray , J. Shamanna

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

High Energy Physics - Phenomenology · Physics 2014-02-04 Krzysztof Kutak , Piotr Surówka

In order to study such effects like parton saturation in final states at the LHC one of the approaches is to combine physics of the BK and the CCFM evolution equations. We report on recently obtained resummed form of the BK equation and…

High Energy Physics - Phenomenology · Physics 2012-06-07 Krzysztof Kutak

The transverse momentum per particle, $[p_t]$, fluctuates event by event in ultrarelativistic nucleus-nucleus collisions, for a given multiplicity. These fluctuations are small and approximately Gaussian, but a non-zero skewness has been…

Nuclear Theory · Physics 2023-08-21 Rupam Samanta , João Paulo Picchetti , Matthew Luzum , Jean-Yves Ollitrault

We study the process, within classical general relativity, in which an incident gravitational plane wave, of weak amplitude and long wavelength, scatters off a massive spinning compact object, such as a black hole or neutron star. The…

General Relativity and Quantum Cosmology · Physics 2023-01-04 M. V. S. Saketh , Justin Vines

We study the statistics and characteristics of rare intense events in two types of two dimensional Complex Ginzburg-Landau (CGL) equation based models. Our numerical simulations show finite amplitude collapse-like solutions which approach…

Pattern Formation and Solitons · Physics 2009-11-07 Jong-Won Kim , Edward Ott

It was recently noticed that high-energy scattering processes in QCD have a stochastic nature. An event-by-event scattering amplitude is characterised by a saturation scale which is a random variable. The statistical ensemble of saturation…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Marquet , G. Soyez , Bo-Wen Xiao

Unitarization schemes can be reduced to non-linear equations which saturate at small $b$ the evolution of the elastic amplitude with $s$, and which mimic parton saturation in the non-perturbative regime. These equations enable us to study…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Selyugin , J. -R. Cudell

Within the Color Glass Condensate effective field theory, we assess the importance of including a finite size for the target on observables sensitive to small-$x$ evolution. To this end, we study the Balitsky-Kovchegov (BK) equation with…

High Energy Physics - Phenomenology · Physics 2025-04-03 Heikki Mäntysaari , Jani Penttala , Farid Salazar , Björn Schenke

We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC…

Data Analysis, Statistics and Probability · Physics 2017-11-22 Debajyoti Saha , Pankaj Kumar Shaw , Sabuj Ghosh , M. S. Janaki , A. N. Sekar Iyengar

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

On the basis of the semiclassical equations for quark-gluon plasma (QGP) and Yang-Mills equation, the generalized kinetic equation for waves with regard to its interaction is obtained. The physical mechanisms defining nonlinear scattering…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. A. Markov , M. A. Markova