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We show that flow anisotropies in relativistic heavy-ion collisions can be analyzed using a certain technique of shape analysis of excursion sets recently proposed by us for CMBR fluctuations to investigate anisotropic expansion history of…

Nuclear Theory · Physics 2015-06-03 Ranjita K. Mohapatra , P. S. Saumia , Ajit M. Srivastava

We present a novel method, based on a multiscale approach, for detecting anisotropy signatures in the arrival direction distribution of the highest energy cosmic rays. This method is catalog independent, i.e. it does not depend on the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 M. De Domenico , H. Lyberis

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 show the first simple, systematic and direct approach to decoupling gravitational sources in general relativity. As a direct application, a robust and simple way to generate anisotropic solutions for self-gravitating systems from perfect…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Jorge Ovalle

The directed flow of particles produced in ultrarelativistic heavy ion collisions at SPS and RHIC is so small that currently available methods of analysis are at the border of applicability. Standard two-particle and flow-vector methods are…

Nuclear Theory · Physics 2009-11-07 N. Borghini , P. M. Dinh , J. -Y. Ollitrault

In recent years many procedures have been proposed to check the anisotropy of a dataset. We present a new simple procedure, based on a scale dependent approach, to detect anisotropy signatures in a given distribution with particular…

Instrumentation and Methods for Astrophysics · Physics 2017-08-23 M. Scuderi , M. De Domenico , A. Insolia , H. Lyberis

Analytical results for the anisotropic collective flow of a Lorentz gas of massless particles scattering on fixed centres are presented.

Nuclear Theory · Physics 2015-05-28 Nicolas Borghini , Clement Gombeaud

Measurements of anisotropic flow in heavy-ion collisions provide evidence for the creation of strongly interacting matter which appears to behave as an almost ideal fluid. Anisotropic flow signals the presence of multiple interactions and…

Nuclear Experiment · Physics 2015-05-28 Ante Bilandzic

The methods currently used to measure azimuthal distributions of particles in heavy ion collisions assume that all azimuthal correlations between particles result from their correlation with the reaction plane. However, other correlations…

Nuclear Theory · Physics 2009-11-06 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

We present a new implementation of anisotropic mean curvature flow for contour recognition. Our procedure couples the mean curvature flow of planar closed smooth curves, with an external field from a potential of point-wise charges. This…

Differential Geometry · Mathematics 2024-04-08 P. Suárez-Serrato , E. I. Velázquez Richards

Emerging sampling algorithms based on normalizing flows have the potential to solve ergodicity problems in lattice calculations. Furthermore, it has been noted that flows can be used to compute thermodynamic quantities which are difficult…

High Energy Physics - Lattice · Physics 2023-10-02 Jan M. Pawlowski , Julian M. Urban

Measurements of two-particle azimuthal angle correlations are a useful tool to study the distribution of jet energy loss, however, they are complicated because of the significant anisotropic flow background. We devise a data-driven method…

Nuclear Experiment · Physics 2019-07-24 Liang Zhang , Kun Jiang , Cheng Li , Feng Liu , Fuqiang Wang

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

A new analytical approach is presented for analysis of two-particle azimuthal correlations in heavy ion collisions at relativistic energies. This approach suggests that elliptic flow measured by experiment has a compound structure, namely,…

Nuclear Theory · Physics 2007-05-23 V. A. Okorokov

The effects of anisotropic transverse collective flow on the HBT correlation function is studied. There exist three different physics contributions related to flow which affect the correlation function: anisotropic source shape, anisotropic…

Nuclear Theory · Physics 2008-11-26 S. A. Voloshin , W. E. Cleland

We consider a class of anisotropic curvature flows called a crystalline curvature flow. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.

Analysis of PDEs · Mathematics 2021-12-13 Yoshikazu Giga , Norbert Požár

Applicability of anisotropic flow measurement techniques and their extension for detectors with non-uniform azimuthal acceptance are discussed. Considering anisotropic flow measurement with two and three (mixed harmonic) azimuthal…

Nuclear Theory · Physics 2008-11-26 Ilya Selyuzhenkov , Sergei Voloshin

A method for particle orientation tracking is developed and demonstrated specifically for anisotropic particles. Using (high-speed) multi-camera recordings of anisotropic particles from different viewpoints, we reconstruct the 3D location…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mees M. Flapper , Elian Bernard , Sander G. Huisman

In this paper, a generalization of the $L_{p}$-Christoffel-Minkowski problem is studied. We consider an anisotropic curvature flow and derive the long-time existence of the flow. Then under some initial data, we obtain the existence of…

Differential Geometry · Mathematics 2022-04-22 Boya Li , Hongjie Ju , Yannan Liu

In this article we present an analytical method for deriving the relationship between the pressure drop and flow rate in laminar flow regimes, and apply it to the flow of power-law fluids through axially-symmetric corrugated tubes. The…

Mathematical Physics · Physics 2011-08-30 Taha Sochi