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We study the mode-coupling theory for the Kardar-Parisi-Zhang equation in the strong-coupling regime, focusing on the long time properties. By a saddle point analysis of the mode-coupling equations, we derive exact results for the…

Statistical Mechanics · Physics 2009-10-31 Francesca Colaiori , M. A. Moore

The usual strategy for deducing the $\pi\mbox{--}\pi^\ast$ electronic energy (or optical bandgap) in a molecule with an "infinite" number of conjugated double bonds consists in fitting a function with some adjustable parameters to the…

Materials Science · Physics 2015-12-18 K. Razi Naqvi

As a simple model for single-file diffusion of hard core particles we investigate the one-dimensional symmetric exclusion process. We consider an open semi-infinite system where one end is coupled to an external reservoir of constant…

Statistical Mechanics · Physics 2009-11-07 J. E. Santos , G. M. Schuetz

Femtoscopic correlations between charged pions and kaons for different charge combinations are measured in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}}=2.76$ TeV with ALICE at the LHC. The three-dimensional pion-kaon ($\pi-{\rm K}$) correlation…

High Energy Physics - Experiment · Physics 2019-01-23 Ashutosh Kumar Pandey

Chaotic dynamics with sensitive dependence on initial conditions may result in exponential decay of correlation functions. We show that for one-dimensional interval maps the corresponding quantities, that is, Lyapunov exponents and…

Dynamical Systems · Mathematics 2015-06-11 Julia Slipantschuk , Oscar F. Bandtlow , Wolfram Just

A theoretical formulation for the two-point correlation function on a light-cone is developed in the redshift space. On the basis of the previous work by Yamamoto & Suto (1999), in which a theoretical formula for the two-point correlation…

Astrophysics · Physics 2009-10-31 Hiroaki Nishioka , Kazuhiro Yamamoto

Steady state properties of hard objects with exclusion interaction and a driven motion along a one-dimensional periodic lattice are investigated. The process is a generalization of the asymmetric simple exclusion process (ASEP) to particles…

Statistical Mechanics · Physics 2013-12-04 Shamik Gupta , Mustansir Barma , Urna Basu , P. K. Mohanty

The spectral form factor is a dynamical probe for level statistics of quantum systems. The early-time behaviour is commonly interpreted as a characterization of two-point correlations at large separation. We argue that this interpretation…

Disordered Systems and Neural Networks · Physics 2025-10-07 Wouter Buijsman , Vadim Cheianov , Vladimir Gritsev

We study the large time behavior of classical solutions to the two-dimensional Vlasov-Poisson (VP) and relativistic Vlasov-Poisson (RVP) systems launched by radially-symmetric initial data with compact support. In particular, we prove that…

Analysis of PDEs · Mathematics 2022-09-20 Jonathan Ben-Artzi , Baptiste Morisse , Stephen Pankavich

We use the extended relaxation time approximation for the collision kernel, which incorporates a particle-energy dependent relaxation time, to derive second-order viscous hydrodynamics from the Boltzmann equation for a system of massless…

Nuclear Theory · Physics 2023-12-29 Dipika Dash , Sunil Jaiswal , Samapan Bhadury , Amaresh Jaiswal

The latest two- and three-particle correlation measurements obtained by the PHENIX collaboration are presented. Three-particle correlations are consistent with the presence of conical emission patterns in the data. Two-particle correlations…

Nuclear Experiment · Physics 2019-08-13 Wolf G. Holzmann

In this work, we study the two-particle correlations regarding a peripheral tube model. From our perspective, the main characteristics of the observed two-particle correlations are attributed to the multiplicity fluctuations and the locally…

Nuclear Theory · Physics 2019-03-27 Dan Wen , Wagner M. Castilho , Kai Lin , Wei-Liang Qian , Yogiro Hama , Takeshi Kodama

We study the duality between color and kinematics for the Sudakov form factors of ${\rm tr}(F^2)$ in non-supersymmetric pure Yang-Mills theory. We construct the integrands that manifest the color-kinematics duality up to two loops. The…

High Energy Physics - Theory · Physics 2022-07-13 Zeyu Li , Gang Yang , Jinxuan Zhang

We determine the stationary two-point correlation function of the one-dimensional KPZ equation through the scaling limit of a solvable microscopic model, the polynuclear growth model. The equivalence to a directed polymer problem with…

Statistical Mechanics · Physics 2007-05-23 Michael Praehofer , Herbert Spohn

Consider supercritical long-range percolation on $\Z^d$ where two vertices $x,y \in \Z^d$ are connected with probability asymptotic to $\|x-y\|^{-s}$ for some $s>2d$. Conditioned that the origin is in the infinite cluster, we prove a shape…

Probability · Mathematics 2026-04-29 Johannes Bäumler

In the hot and dense hadronic sources formed in high energy heavy ion collisions, the particle interactions in medium might lead to a measurable back-to-back correlation (BBC) of boson-antiboson pairs. We calculate the BBC functions of…

Nuclear Theory · Physics 2017-05-31 Yong Zhang , Jing Yang , Wei-Ning Zhang

A model-independent method for the analysis of the two-particle short-range correlations is presented, that can be utilized to describe e.g. Bose-Einstein (HBT), dynamical (ridge) or other correlation functions, that have a nearly L\'evy or…

Data Analysis, Statistics and Probability · Physics 2016-04-27 T. Novák , T. Csörgő , H. C. Eggers , M. de Kock

In this article we will develop some techniques aimed at the strong couplings in two-dimensional wave-Klein-Gordon system. We distinguish the roles of different type of decay factors and develop a method which permits us to "exchange" one…

Analysis of PDEs · Mathematics 2021-04-02 Yue Ma

We use the spectral representation of the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral…

General Relativity and Quantum Cosmology · Physics 2020-03-26 Tommi Markkanen , Arttu Rajantie

In a framework of a semi-analytic model with longitudinally extended strings of fluctuating end-points, we demonstrate that the rapidity spectra and two-particle correlations in collisions of Pb-Pb, p-Pb, and p-p at the energies of the…

Nuclear Theory · Physics 2021-11-17 Martin Rohrmoser , Wojciech Broniowski
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