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Analytical expressions for radial distribution function (RDF) are of critical importance for various applications, such as development of the perturbation theories for equilibrium properties. Theoretically, RDF expressions for…

Statistical Mechanics · Physics 2023-10-20 Hongqin Liu

We study one-particle spectra and a two-particle correlation function in the 130 GeV/nucleon Au+Au collisions at RHIC by making use of a hydrodynamical model. We calculate the one-particle hadronic spectra and present the first analysis of…

Nuclear Theory · Physics 2016-09-08 Tetsufumi Hirano , Kenji Morita , Shin Muroya , Chiho Nonaka

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling methods typically rely on proximal mappings or smooth…

Numerical Analysis · Mathematics 2026-05-05 Ivan Cheltsov , Federico Cornalba , Clarice Poon , Tony Shardlow

We highlight some of the interesting properties of a new and finite, exact family of solutions of 1 + 1 dimensional perfect fluid relativistic hydrodynamics. After reviewing the main properties of this family of solutions, we present the…

Nuclear Theory · Physics 2019-06-27 T. Csorgo , G. Kasza , M. Csanad , Z. F. Jiang

The possibility that particle production in high-energy collisions is a result of two asymmetric hydrodynamic flows is investigated, using the Khalatnikov form of the 1+1-dimensional approximation of hydrodynamic equations. The general…

High Energy Physics - Phenomenology · Physics 2011-05-19 Andrzej Bialas , Robi Peschanski

We analyze the evolution of hydrodynamic fluctuations for QCD matter below $T_c$ in the chiral limit, where the pions (the Goldstone modes) must be treated as additional non-abelian superfluid degrees of freedom, reflecting the broken…

High Energy Physics - Theory · Physics 2020-08-05 Eduardo Grossi , Alexander Soloviev , Derek Teaney , Fanglida Yan

We develop a combined hydro-kinetic approach which incorporates a hydrodynamical expansion of the systems formed in \textit{A}+\textit{A} collisions and their dynamical decoupling described by escape probabilities. The method corresponds to…

Nuclear Theory · Physics 2008-11-26 S. V. Akkelin , Y. Hama , Iu. A. Karpenko , Yu. M. Sinyukov

We analyze single particle momentum spectra and interferometry radii in central Au+Au collisions at RHIC within a hydro-inspired parametrization accounting for continuous hadron emission through the whole lifetime of hydrodynamically…

Nuclear Theory · Physics 2016-09-08 M. S. Borysova , Yu. M. Sinyukov , S. V. Akkelin , B. Erazmus , Iu. A. Karpenko

Motivated by the modeling of the spatial structure of the velocity field of three-dimensional turbulent flows, and the phenomenology of cascade phenomena, a linear dynamics has been recently proposed able to generate high velocity gradients…

The dynamics of probability density functions have been extensively studied in computational science and engineering to understand physical phenomena and facilitate algorithmic design. Of particular interest are dynamics formulated as…

Analysis of PDEs · Mathematics 2026-03-16 José A. Carrillo , Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Dongyi Wei

Unconventional way of handling the perturbative series is presented with the help of Heaviside transformation with respect to the mass. We apply Heaviside transform to the effective potential in the massive Gross-Neveu model and carry out…

High Energy Physics - Theory · Physics 2009-10-30 Hirofumi Yamada

Parton distribution functions are key quantities for us to understand the hadronic structures in high-energy scattering, but they are difficult to calculate from lattice QCD. Recent years have seen fast development of the large-momentum…

High Energy Physics - Phenomenology · Physics 2019-04-29 Yong Zhao

Using the (2+1)-dimensional viscous hydrodynamic code VISH2+1, we present systematic studies of the dependence of pion and proton transverse momentum spectra and their elliptic flow in 200 A GeV Au+Au collisions on the parameters of the…

Nuclear Theory · Physics 2010-12-02 Chun Shen , Ulrich W. Heinz , Pasi Huovinen , Huichao Song

The treatment of mixing processes is still one of the major uncertainties in 1D stellar evolution models. This is mostly due to the need to parametrize and approximate aspects of hydrodynamics in hydrostatic codes. In particular, the effect…

Solar and Stellar Astrophysics · Physics 2017-08-02 Philipp V. F. Edelmann , Friedrich K. Roepke , Raphael Hirschi , Cyril Georgy , Samuel Jones

In the field of modern high-energy physics research, there is a growing emphasis on utilizing deep learning techniques to optimize event simulation, thereby expanding the statistical sample size for more accurate physical analysis.…

Computational Physics · Physics 2025-06-16 Chu-Cheng Pan , Xiang Dong , Yu-Chang Sun , Ao-Yan Cheng , Ao-Bo Wang , Yu-Xuan Hu , Hao Cai

The ground-state properties of two-dimensional liquid $^4$He at zero temperature are studied by means of a quadratic diffusion Monte Carlo method. As interatomic potential we use a revised version of the HFDHE2 Aziz potential which is…

Condensed Matter · Physics 2009-10-28 S. Giorgini , J. Boronat , J. Casulleras

If phi(z) is a rational function on P^1 of degree at least 2 with coefficients in a number field k, we compute the homogeneous transfinite diameter of the v-adic filled Julia sets of phi for all places v of k by introducing a new quantity…

Number Theory · Mathematics 2007-05-23 Matthew Baker , Robert Rumely

By taking into account the effects of leading particles, we discuss the pseudorapidity distributions of the charged particles produced in high energy heavy ion collisions in the context of evolution-dominated hydrodynamic model. The leading…

Nuclear Theory · Physics 2014-01-07 Z. J. Jiang , H. L. Zhang , J. Wang , K. Ma

A full (3+1)-dimensional calculation using the Lagrangian hydrodynamics is proposed for relativistic nuclear collisions. The calculation enables us to evaluate anisotropic flow of hadronic matter which appears in non-central and/or…

High Energy Physics - Phenomenology · Physics 2011-09-13 Chiho Nonaka , Eiji Honda , Shin Muroya
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