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Related papers: Anisotropy beta functions

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We suggest the possibility to disentangle anisotropic flow, flow fluctuation, and nonflow using two-, four-, and six-particle azimuthal moments assuming Gaussian fluctuations. We show that such disentanglement is possible when the flow…

Nuclear Experiment · Physics 2013-02-18 Li Yi , Fuqiang Wang , Aihong Tang

The scaling behaviors of anisotropic flows of light charged particles are studied for 25 \,MeV/nucleon $^{40}$Ca+$^{40}$Ca collisions at different impact parameters by the isospin-dependent quantum molecular dynamics model. The number of…

Nuclear Theory · Physics 2015-06-17 Tingzhi Yan , Shan Li

We examine long-time properties of the ideal dynamics of three--dimensional flows, in the presence or not of an imposed solid-body rotation and with or without helicity (velocity-vorticity correlation). In all cases the results agree with…

Fluid Dynamics · Physics 2015-05-18 P. D. Mininni , P. Dmitruk , W. H. Matthaeus , A. Pouquet

The verification of whether small-scale turbulence is isotropic remains a grand challenge. The difficulty arises because the presence of small-scale anisotropy is tied to the dissipation tensor, whose components require the full…

Fluid Dynamics · Physics 2024-05-03 Subharthi Chowdhuri , Tirtha Banerjee

Anisotropic flows ($v_2$ and $v_4$) of hadrons and light nuclear clusters are studied by a partonic transport model and nucleonic transport model, respectively, in ultra-relativistic and intermediate energy heavy ion collisions. Both…

Nuclear Theory · Physics 2008-11-26 Y. G. Ma

Unparticles charged under a gauge group can contribute to the running of the gauge coupling. We show that a scalar unparticle of scaling dimension d contributes to the \beta function a term that is (2-d) times that from a scalar particle in…

High Energy Physics - Phenomenology · Physics 2008-11-07 Yi Liao

We report on the first measurement of the triangular $v_3$, quadrangular $v_4$, and pentagonal $v_5$ charged particle flow in Pb-Pb collisions at 2.76 TeV measured with the ALICE detector at the CERN Large Hadron Collider. We show that the…

Nuclear Experiment · Physics 2017-09-29 ALICE Collaboration

We study the evolution of quantum fluctuations in the Glasma created immediately after the collision of heavy nuclei. It is shown how the presence of instabilities leads to an enhancement of non-linear interactions among initially small…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. Berges , S. Schlichting

Scaling laws describe how learning performance improves with data, compute, or training time, and have become a central theme in modern deep learning. We study this phenomenon in a canonical nonlinear model: phase retrieval with anisotropic…

Machine Learning · Statistics 2025-11-25 Guillaume Braun , Bruno Loureiro , Ha Quang Minh , Masaaki Imaizumi

Three-dimensional anisotropic turbulence in classical fluids tends towards isotropy and homogeneity with decreasing scales, allowing --eventually-- the abstract model of "isotropic homogeneous turbulence" to be relevant. We show here that…

Other Condensed Matter · Physics 2019-04-17 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

We compute analytically the anisotropic flow in an expanding mixture of several species of relativistic massive particles. We find that a single collision per particle in average already leads to sizable elliptic flow, with mass ordering…

Nuclear Theory · Physics 2015-03-17 Nicolas Borghini , Clement Gombeaud

We study a 2-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree $-\beta$, $\beta\ge 2$. For $\beta>2$, the sets of initial conditions leading to…

Mathematical Physics · Physics 2009-09-29 Florin Diacu , Ernesto Perez-Chavela , Manuele Santoprete

Inhomogeneous and anisotropic cosmologies are modeled withing the framework of scalar-tensor gravity theories. The inhomogeneities are calculated to third-order in the so-called long-wavelength iteration scheme. We write the solutions for…

General Relativity and Quantum Cosmology · Physics 2011-08-17 G. L. Comer , Nathalie Deruelle , David Langlois

The analysis of anisotropic flow of particles created in high energy heavy-ion collisions gives insight into the early stage of these reactions. Measurements of directed flow (v1), elliptic flow (v2) and flow of 4th and 6th order (v4 and…

Nuclear Experiment · Physics 2019-08-14 Markus D. Oldenburg

We present numerical simulations for the evolution of an expanding system of massless scalar fields with quartic coupling. By setting a rotating, non-isotropic initial configuration, we compute the energy density, the transverse and…

High Energy Physics - Theory · Physics 2022-11-08 Margaret E. Carrington , Gabor Kunstatter , Christopher Phillips , Marcelo E. Rubio

The jet quenching parameter of an anisotropic plasma depends on the relative orientation between the anisotropic direction, the direction of motion of the parton, and the direction along which the momentum broadening is measured. We…

High Energy Physics - Theory · Physics 2012-09-18 Mariano Chernicoff , Daniel Fernandez , David Mateos , Diego Trancanelli

The surprising manifestation of collectivity in small collision systems, such as nucleon-nucleon and nucleon-nucleus collisions, is perhaps even more striking when discussed at higher momenta. In larger systems, high-$p_T$ elliptic…

High Energy Physics - Phenomenology · Physics 2026-03-16 Erik Carrió , Daniel Pablos

Using quantum mechanical perturbation theory (PT) we analyze how the energy of perturbation of different orders is renormalized in solids. We test the validity of PT analysis by considering a specific case of spin-orbit coupling as a…

Materials Science · Physics 2014-07-11 Vladimir Antropov , Liqin Ke , Daniel Åberg

The incompressible three-dimensional Euler equations develop very thin pancake-like regions of exponentially increasing vorticity. The characteristic thickness of such regions decreases exponentially with time, while the other two…

Fluid Dynamics · Physics 2026-02-04 D. S. Agafontsev , A. S. Il'yn , A. V. Kopyev

We report the first results of elliptic ($v_2$), triangular ($v_3$) and quadrangular flow ($v_4$) of charged particles in Pb-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV with the ALICE detector at the CERN Large Hadron Collider. The…

Nuclear Experiment · Physics 2016-12-13 ALICE Collaboration