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We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity…

Analysis of PDEs · Mathematics 2015-06-04 Francis Filbet , Thomas Rey

In this work we use the all-order resummed solution of the BDMPS-Z spectrum to shed light on the dynamics that controls the in-medium radiation process for each kinematical regime. We find that multiple scatterings are essential to…

High Energy Physics - Phenomenology · Physics 2022-06-29 Carlota Andres , Liliana Apolinario , Fabio Dominguez , Marcos Gonzalez Martinez , Carlos A. Salgado

Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing…

Statistical Mechanics · Physics 2009-11-11 M. H. Ernst , E. Trizac , A. Barrat

In heavy-ion collisions, nuclear matter is subjected to extreme conditions in a highly dynamical, rapidly evolving environment. This poses a tremendous challenge for calculating jet quenching observables. Current approaches rely on…

High Energy Physics - Phenomenology · Physics 2026-05-29 Souvik Priyam Adhya , Konrad Tywoniuk

Jet quenching has become a fundamental tool to study the hot QCD matter produced in heavy ion collisions. While important theoretical and experimental advances have been made in the last two decades, the extraction of the medium properties…

High Energy Physics - Phenomenology · Physics 2020-07-30 Xabier Feal

We examine the dynamic spreading of a dense overdamped suspension of particles under power law repulsive potentials, often called Riesz gases. That is, potentials that decay with distance as 1/r^k where k\in (-2,\infty]. Depending on the…

Soft Condensed Matter · Physics 2025-01-13 Ido Fanto , Naomi Oppenheimer

Dissipative particle dynamics (DPD) is now a well-established method for simulating soft matter systems. However, its applicability was recently questioned because some investigations showed an upper coarse-graining limit that would prevent…

Soft Condensed Matter · Physics 2011-11-09 Rudolf M. Füchslin , Harold Fellermann , Anders Eriksson , Hans-Joachim Ziock

We revisit the picture of jets propagating in the quark-gluon plasma. In addition to vacuum radiation, partons scatter on the medium constituents resulting in induced emissions. Analytical approaches to including these interactions have…

High Energy Physics - Phenomenology · Physics 2023-02-28 Johannes Hamre Isaksen , Adam Takacs , Konrad Tywoniuk

Using granular experiments and computer simulations, we investigate the long-time diffusion of active tracers in a broad class of complex media composed of frozen obstacles of diverse structures. By introducing a dimensionless persistence…

Soft Condensed Matter · Physics 2025-05-06 Qun Zhang , Yuxin Tian , Xue Zhang , Xiaoting Yu , Hongwei Zhu , Ning Zheng , Luhui Ning , Ran Ni , Mingcheng Yang , Peng Liu

It is widely accepted that a phenomenologically viable theory of jet quenching for heavy ion collisions requires the understanding of medium-induced parton energy loss beyond the limit of eikonal kinematics formulated by…

High Energy Physics - Phenomenology · Physics 2012-11-29 Korinna C. Zapp , Urs A. Wiedemann

We extend the kinetic theory of $D$ mesons to accommodate thermal and off-shell effects due to the medium modification of the heavy-meson spectral functions. From the Kadanoff-Baym approach we derive the off-shell Fokker-Planck equation…

High Energy Physics - Phenomenology · Physics 2022-02-17 Juan M. Torres-Rincon , Glòria Montaña , Àngels Ramos , Laura Tolos

We study the Boltzmann equation for a space-homogeneous gas of inelastic hard spheres, with a diffusive term representing a random background forcing. Under the assumption that the initial datum is a nonnegative $L^2$ function, with bounded…

Analysis of PDEs · Mathematics 2009-11-10 Irene M. Gamba , Vladislav Panferov , Cedric Villani

We consider a family of one-dimensional diffusions, in dynamical Wiener mediums, which are random perturbations of the Ornstein-Uhlenbeck diffusion process. We prove quenched and annealed convergences in distribution and under weighted…

Probability · Mathematics 2012-12-14 Yoann Offret

The physics of the quenching of hard jets in dense matter is briefly reviewed. This is presented within the framework of the partonic medium modification of the fragmentation functions. Modifications in both deeply inelastic scattering…

Nuclear Theory · Physics 2009-11-11 A. Majumder

The energy loss of hard jets produced in the Deep-Inelastic scattering (DIS) off a large nucleus is considered in the collinear limit. In particular, the single gluon emission cross section due to multiple scattering in the medium is…

Nuclear Theory · Physics 2013-05-30 Abhijit Majumder

We resolve a long standing question regarding the suitable effective diffusion coefficient of the spherically-symmetric transport equation, which is valid at long times. To that end, we generalize a transport solution in three dimensions…

Statistical Mechanics · Physics 2024-02-01 Shay I. Heizler , Menahem Krief , Michael Assaf

We show that technique of Dyson equation in wave multiple scattering by spatially disordered discrete medium statistical theory leads directly to a dielectric permittivity tensor, which is characterized by spatial dispersion and obeys the…

Disordered Systems and Neural Networks · Physics 2010-09-27 Yu. N. Barabanenkov , M. Yu. Barabanenkov , S. A. Nikitov

We consider a Gross-Pitaevskii equation which appears as a model in the description of dipolar Bose-Einstein condensates, without a confining external trapping potential. We describe the asymptotic dynamics of solutions to the corresponding…

Analysis of PDEs · Mathematics 2021-06-15 Van Duong Dinh , Luigi Forcella , Hichem Hajaiej

A formalism for the evaluation of the intensity of photon and gluon bremsstrahlung in QED and QCD condensed media is presented which considers general interactions beyond the Fokker-Planck/Gaussian approximation, the angular distribution of…

High Energy Physics - Phenomenology · Physics 2019-03-19 Xabier Feal

To sensitively test scaling in the 2D XY model quenched from high-temperatures into the ordered phase, we study the difference between measured correlations and the (scaling) results of a Gaussian-closure approximation. We also directly…

Statistical Mechanics · Physics 2009-10-31 F. Rojas , A. D. Rutenberg