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A Monte Carlo program solving Boltzmann equation for partons via cascade method is presented. At presented, only gluon-gluon elastic scattering is included. The scattering cross section is regulated by a medium generated screening mass.…

Nuclear Theory · Physics 2009-10-30 Bin Zhang

Sufficiently energetic collisions of heavy ions result in the formation of a droplet of a strongly coupled liquid state of QCD matter known as quark-gluon plasma. By using gauge-gravity duality (holography), a model of a rapidly…

High Energy Physics - Theory · Physics 2019-12-25 Åsmund Folkestad , Sašo Grozdanov , Krishna Rajagopal , Wilke van der Schee

The influence and validity of wall boundary conditions for non-equilibrium fluid flows described by the Boltzmann equation remains an open problem. The substantial computational cost of directly solving the Boltzmann equation has limited…

Fluid Dynamics · Physics 2024-01-02 Tarik Dzanic , Freddie D. Witherden , Luigi Martinelli

This work explores the feasibility of performing three-dimensional molecular gas dynamics simulations of hypersonic flows such as re-entry vehicles through directly solving the six-dimensional nonlinear Boltzmann equation closed with the…

Fluid Dynamics · Physics 2023-12-12 Tarik Dzanic , Luigi Martinelli

Supersonic flow simulations face challenges in trans-scale modeling, numerical stability, and complex field analysis due to inherent nonlinear, nonequilibrium, and multiscale characteristics. The discrete Boltzmann method (DBM) provides a…

Fluid Dynamics · Physics 2025-06-10 Yanhong Wu , Yanbiao Gan , Aiguo Xu , Bin Yang

Flow fluctuations in ultra-relativistic heavy-ion collision can be probed by studying the momentum dependent correlations or the factorization-breaking coefficients between flow harmonics in separate kinematic bins (transverse momentum or…

Nuclear Theory · Physics 2023-06-06 Rupam Samanta , Piotr Bozek

A classical description of electron emission differential ionization cross sections for highly-charged high-velocity ions ($\sim$ 10 a.u.) impinging on water molecules is presented. We investigate the validity of the classical statistical…

Atomic Physics · Physics 2020-01-22 Alba Jorge , Marko Horbatsch , Clara Illescas , Tom Kirchner

Collective bremsstrahlung of vector meson fields caused by mutual deceleration of the colliding nuclei is considered within the time-dependent Walecka theory. Excitation functions and rapidity distributions of particles produced by this…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

In recent works, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential, and examined the proposed mechanics of turbulence formation in a simple model of two particles for a variety…

Fluid Dynamics · Physics 2024-06-12 Rafail V. Abramov

We present a flow-based method for simulating and calculating nucleation rates of first-order phase transitions in scalar field theory on a lattice. Motivated by recent advancements in machine learning tools, particularly normalizing flows…

High Energy Physics - Lattice · Physics 2025-05-30 Yang Bai , Ting-Kuo Chen

Discrete-velocity approximations represent a popular way for computing the Boltzmann collision operator. The direct numerical evaluation of such methods involve a prohibitive cost, typically $O(N^{2d+1})$ where $d$ is the dimension of the…

Numerical Analysis · Mathematics 2014-01-15 Clément Mouhot , Lorenzo Pareschi , Thomas Rey

Direct sampling of multi-dimensional systems with quantum Monte Carlo methods allows exact account of many-body effects or particle correlations. The most straightforward approach to solve the Schr\"odinger equation, Diffusion Monte Carlo,…

Quantum Physics · Physics 2017-09-07 Ilkka Ruokosenmäki , Tapio T. Rantala

We study the quantitative pointwise behavior of solutions to the Boltzmann equation for hard potentials and Maxwellian molecules, which generalize the hard sphere case introduced by Liu-Yu in 2004 (Comm. Pure Appl. Math. 57:1543-1608,…

Analysis of PDEs · Mathematics 2024-11-19 Yu-Chu Lin , Haitao Wang , Kung-Chien Wu

We recently proposed a new approach to high energy nuclear scattering, which treats the initial stage of heavy ion collisions in a sophisticated way. We are able to calculate macroscopic quantities like energy density and velocity flow at…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. J. Drescher , F. M. Liu , S. Ostapchenko , T. Pierog , K. Werner

Heavy-ion collisions can be simulated by means of comprehensive approaches, to include the many different reaction mechanisms which may contribute. QMD models and their relativistic extensions are examples of these approaches based on Monte…

The collision process is essential to the Direct Simulation Monte Carlo (DSMC) method, as it incorporates the fundamental principles of the Boltzmann and Kac stochastic equations. A series of collision algorithms, known as the…

Computational Physics · Physics 2025-11-12 Ahmad Shoja-sani , Maryam Javani , Ehsan Roohi , Stefan Stefanov

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be…

Nuclear Theory · Physics 2010-04-06 G. Hupin , D. Lacroix

We generalize a simple Monte Carlo (MC) model for dilute gases to consider the transport behavior of positrons and electrons in Percus-Yevick model liquids under highly non-equilibrium conditions, accounting rigorously for coherent…

Computational Physics · Physics 2015-04-22 W. J. Tattersall , D. G. Cocks , G. J. Boyle , R. D. White

The present study employs the Direct Simulation Monte Carlo (DSMC) method, a widely used numerical method for studying non-continuum flows, to investigate the flow characteristics of a chemically reacting hypersonic flow over a…

Fluid Dynamics · Physics 2021-12-01 Arjun Singh

Within the transport BUU theory we study the influence of the choice for the $\Delta$ resonance lifetime on pion-nucleus reactions and on heavy-ion collisions at 1 A GeV. A quite small effect of these modifications on the pion absorption on…

Nuclear Theory · Physics 2011-01-25 A. B. Larionov , M. Effenberger , S. Leupold , U. Mosel
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