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Two-particle transverse momentum differential correlators, recently measured in Pb--Pb collisions at energies available at the CERN Large Hadron Collider (LHC), provide an additional tool to gain insights into particle production mechanisms…

Nuclear Experiment · Physics 2023-06-22 ALICE Collaboration

We examine metastable configurations of a two-dimensional system of interacting particles on a quenched random potential landscape and ask how the configurational pair correlation function is related to the particle interactions and the…

Superconductivity · Physics 2016-08-31 Muhittin Mungan , Chorng-Haur Sow , Susan N. Coppersmith , David G. Grier

Particle pair-correlations are broadly used to describe particle distributions in chemistry, physics, and material science. Many theoretical methods require the pair-correlation to predict material properties such as fluid flow, thermal…

Soft Condensed Matter · Physics 2024-05-31 Aris Karnezis , Art L. Gower

For many-body systems with short range interaction a series of relations were derived connecting many properties of the system to the dynamics of a closely packed few-body subsystems. Some of these relations were experimentally verified in…

Nuclear Theory · Physics 2016-12-21 Ronen Weiss , Ehoud Pazy , Nir Barnea

Transverse momentum fluctuations can be understood as resulting from clustering of strings or partons. Data allows to distinguish clustering without percolation, from clustering with percolation. Percolation is clearly favored by data.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Dias de Deus , A. Rodrigues

A unified framework for describing the azimuthal dependence of two-particle correlations in heavy-ion collisions is introduced, together with the methods for measuring the corresponding observables. The generalization to azimuthal…

Nuclear Theory · Physics 2007-05-23 Nicolas Borghini

Two-particle long-range azimuthal correlations are measured in photonuclear collisions using 1.7 nb$^{-1}$ of 5.02 TeV Pb+Pb collision data collected by the ATLAS experiment at the LHC. Candidate events are selected using a dedicated…

Nuclear Experiment · Physics 2021-07-21 ATLAS Collaboration

The static pair correlation (distribution) function and the structure factor of particle distributions in three-dimensional homogeneous isotropic systems are explicitly restored from two-dimensional data observed in a thin slab sliced out…

Data Analysis, Statistics and Probability · Physics 2009-12-31 Hiroo Totsuji

Calculations of two-particle correlations usually assume particles interact only pair-wise after their final collisions with third bodies. By considering classical trajectories, we show that interactions with the mean field can alter the…

Nuclear Theory · Physics 2009-11-11 Scott Pratt

We identify the correlation in a state of two identical particles as the residual information beyond what is already contained in the 1-particle reduced density matrix, and propose a correlation measure based on the maximum entropy…

Quantum Physics · Physics 2015-05-13 D. L. Zhou

Nuclear systems are treated within a quantum statistical approach. Correlations and cluster formation are relevant for the properties of warm dense matter, but the description is challenging and different approximations are discussed. The…

Nuclear Theory · Physics 2017-03-21 G. Röpke

A two-body quantum correlation is calculated for a particle and an infinite potential well in which it is trapped or either a barrier or finite well over which it traverses. Correlated interference results when the incident and reflected…

Quantum Physics · Physics 2014-05-06 F. V. Kowalski , R. S. Browne

When two populations of "particles" move in opposite directions, like oppositely charged colloids under an electric field or intersecting flows of pedestrians, they can move collectively, forming lanes along their direction of motion. The…

Statistical Mechanics · Physics 2017-03-16 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

Properties of a contact process in continuum for a system of two type particles one type of which is independent are considered. We study dynamics of the first and second order correlation functions, their asymptotics and dependence on…

Mathematical Physics · Physics 2015-01-27 D. O. Filonenko , D. L. Finkelshtein , Yu. G. Kondratiev

Momentum distributions of particles from nuclear break-up of fast three-body halos are calculated for polarized beam and outgoing fragments. These momentum distributions are combined in observable quantities which emphasize the two-body…

Nuclear Theory · Physics 2009-10-30 E. Garrido , D. V. Fedorov , A. S. Jensen

We study correlations amongst tidal fields originated by the large-scale distribution of matter in the Universe. The two-point tidal correlation is described as a rank-4 tensor, whose elements can be written in terms of four fundamental…

Astrophysics · Physics 2015-06-24 Paolo Catelan , Cristiano Porciani

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in Nc the mean field (Gaussian) approximation where the…

High Energy Physics - Phenomenology · Physics 2010-05-25 Adrian Dumitru , Jamal Jalilian Marian

We review recent developments in the theoretical description and understanding of multi-particle correlation measurements in collisions of small projectiles (p/d/$^3$He) with heavy nuclei (Au, Pb) as well as proton+proton collisions. We…

Nuclear Theory · Physics 2018-03-14 Bjoern Schenke

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be…

Probability · Mathematics 2024-10-24 P. Gonçalves , B. Salvador

Experimental data are presented on particle correlations and fluctuations in various high-energy multiparticle collisions, with special emphasis on evidence for scaling-law evolution in small phase-space domains. The notions of…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. A. De Wolf , I. M. Dremin , W. Kittel