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Related papers: Infrared instability from nonlinear QCD evolution

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We consider the nonlinear nonlocal beam evolution equation introduced by Woinowsky- Krieger. We study the existence and behavior of periodic solutions: these are called nonlinear modes. Some solutions only have two active modes and we…

Classical Analysis and ODEs · Mathematics 2017-03-21 Ubertino Battisti , Elvise Berchio , Alberto Ferrero , Filippo Gazzola

When probed at very high energies or small Bjorken x_bj, QCD degrees of freedom manifest themselves as a medium of dense gluon matter called the Color Glass Condensate. Its key property is the presence of a density induced correlation…

High Energy Physics - Phenomenology · Physics 2009-09-29 Heribert Weigert

The Boussinesq-Klein-Gordon (BKG) equation has emerged in the studies of nonlinear bulk strain waves in layered solid waveguides. The developed bi-directional weakly-nonlinear solution leads to two copies of the Ostrovsky equation, for the…

Pattern Formation and Solitons · Physics 2026-03-17 Korsarun Nirunwiroj , Dmitri Tseluiko , Karima Khusnutdinova

The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. Here we study to what extent the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Javier L. Albacete , Nestor Armesto , Alex Kovner , Carlos A. Salgado , Urs Achim Wiedemann

The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the…

High Energy Physics - Phenomenology · Physics 2016-08-08 Wei Zhu , Zhenqi Shen , Jianhong Ruan

In this paper, modulation instability and nonlinear supratransmission are investigated in a one-dimensional chain of atoms using cubic-quartic nonlinearity coefficients. As a result, we establish the discrete nonlinear evolution equation by…

Pattern Formation and Solitons · Physics 2023-08-09 Alphonse Houwe , Souleymanou Abbagari , Lanre Akinyemi , Serge Yamigno Doka , Kofane Timoleon Crepin

We study the evolution of an energetic jet which radiates gluons while propagating through a dense QCD medium modeled as a random distribution of color sources. Motivated by the heavy ion experimental program at the LHC, we focus on the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Jean-Paul Blaizot , Fabio Dominguez , Edmond Iancu , Yacine Mehtar-Tani

The rotation modified Kadomtsev Petviashvili equation which is also known as the Kadomtsev Petviashvili Ostrovsky equation, describes the gradual wave field diffusion in the transverse direction to the direction of the propagation of the…

Analysis of PDEs · Mathematics 2024-12-10 Bhavna , Ashish Kumar Pandey , Anastassiya Semenova

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kutak , A. M. Stasto

We propose a reaction-transport model for CTRW with non-linear reactions and non-exponential waiting time distributions. We derive non-linear evolution equation for mesoscopic density of particles. We apply this equation to the problem of…

Statistical Mechanics · Physics 2015-05-14 Sergei Fedotov

We discuss the evolution of an energetic jet which propagates through a dense quark-gluon plasma and radiates gluons due to its interactions with the medium. Within perturbative QCD, this evolution can be described as a stochastic branching…

High Energy Physics - Phenomenology · Physics 2017-04-05 Miguel A. Escobedo , Edmond Iancu

Recent results by Martin et al. (2014) showed in 3D SPH simulations that tilted discs in binary systems can be unstable to the development of global, damped Kozai-Lidov (KL) oscillations in which the discs exchange tilt for eccentricity. We…

Solar and Stellar Astrophysics · Physics 2017-06-28 Stephen H. Lubow , Gordon I. Ogilvie

The kinetic wave equation arises in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schroedinger equation. The equation has two Kolmogorov-Zakharov steady states corresponding to out-of-equilibrium cascades…

Analysis of PDEs · Mathematics 2022-09-13 Charles Collot , Helge Dietert , Pierre Germain

The collisional drift wave instability in a straight magnetic field configuration is studied within a full-F gyro-fluid model, which relaxes the Oberbeck-Boussinesq (OB) approximation. Accordingly, we focus our study on steep background…

Plasma Physics · Physics 2019-05-22 Markus Held , Matthias Wiesenberger , Alexander Kendl

We consider propagation of instability fronts in conservative nonlinear wave systems by the Whitham method. Whitham modulation equations for periodic solutions of the generalized Klein-Gordon equation are solved in the limit of…

Pattern Formation and Solitons · Physics 2026-03-11 A. M. Kamchatnov

Nonlinear wave propagation is studied analytically in a dissipative, self-gravitating Bose Einstein condensate, in the framework of Gross-Pitaevskii model. The linear dispersion relation shows that the effect of dissipation is to suppress…

Quantum Gases · Physics 2017-03-27 Biswajit Sahu , Anjana Sinha , R. Roychoudhury

In the high-energy limit of QCD, scattering off nucleons and nuclei can be described in terms of Wilson-line correlators whose energy dependence is perturbative. The energy dependence of the two-point correlator, called the dipole…

High Energy Physics - Phenomenology · Physics 2026-03-13 Meisen Gao , Zhong-Bo Kang , Jani Penttala , Ding Yu Shao

We investigate the color coherence pattern between initial and final state radiation in the presence of a QCD medium. We derive the medium-induced gluon spectrum of an "asymptotic" parton which suffers a hard scattering and subsequently…

High Energy Physics - Phenomenology · Physics 2012-10-03 Néstor Armesto , Hao Ma , Mauricio Martinez , Yacine Mehtar-Tani , Carlos A. Salgado

We study the effect of including a BGK collisional kernel on the collective modes of a QCD plasma which has a hard-particle distribution function which is anisotropic in momentum space. We calculate dispersion relations for both the stable…

High Energy Physics - Phenomenology · Physics 2008-10-18 Bjoern Schenke , Michael Strickland , Carsten Greiner , Markus H. Thoma

Within a phenomenological holographic model in $(4+1)$-bulk dimensions, defined by Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a Chern-Simons term, we explore the fate of BF-bound violation for…

High Energy Physics - Theory · Physics 2017-12-06 Arnab Kundu