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The transport approach is a useful tool to study dynamics of non-equilibrium systems. For heavy-ion collisions at intermediate energies, where both the smooth nucleon potential and the hard-core nucleon-nucleon collision are important, the…

Nuclear Theory · Physics 2019-04-02 Jun Xu

We perform a comprehensive Bayesian analyses of Au + Au collision data at 1.23 GeV/nucleon using an isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model that incorporates a momentum-dependent mean field and medium-modified…

Nuclear Theory · Physics 2026-02-17 Shuochong Han , Ang Li

With a view of applications to the simulations of supernova explosion and proto neutron star cooling, we derive the Boltzmann equations for the neutrino transport with the flavor mixing based on the real time formalism of the nonequilibrium…

Astrophysics · Physics 2009-10-31 Shoichi Yamada

We report predictions for the suppression and elliptic flow of the $\Upsilon(1S)$, $\Upsilon(2S)$, and $\Upsilon(3S)$ as a function of centrality and transverse momentum in ultra-relativistic heavy-ion collisions. We obtain our predictions…

High Energy Physics - Phenomenology · Physics 2021-12-15 Nora Brambilla , Miguel Ángel Escobedo , Michael Strickland , Antonio Vairo , Peter Vander Griend , Johannes Heinrich Weber

In this work we propose a generalization of the Moment Guided Monte Carlo method developed in [11]. This approach permits to reduce the variance of the particle methods through a matching with a set of suitable macroscopic moment equations.…

Numerical Analysis · Mathematics 2013-07-10 Giacomo Dimarco

Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing…

Statistical Mechanics · Physics 2009-11-11 M. H. Ernst , E. Trizac , A. Barrat

Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision term. A class of asymptotic preserving schemes was introduced in [6] to handle this kind of problems. The…

Numerical Analysis · Mathematics 2010-09-20 Francis Filbet , Jingwei Hu , Shi Jin

Electromagnetic interactions of protons and alpha particles are modeled in a form that is suitable for Monte Carlo simulation of the transport of charged particles. The differential cross section (DCS) for elastic collisions with neutral…

Nuclear Theory · Physics 2023-11-13 Francesc Salvat , Carlos Heredia

In hypersonic rarefied flows, insufficient intermolecular collisions cause significant deviations between translational and rotational temperatures, leading to strong thermal nonequilibrium. For diatomic gases such as nitrogen and oxygen,…

Fluid Dynamics · Physics 2026-02-10 Hao Jin , Sha Liu , Ningchao Ding , Sirui Yang , Huahua Cui , Congshan Zhuo , Chengwen Zhong

The temporal evolution of a dilute granular gas, both in a compressible flow (uniform longitudinal flow) and in an incompressible flow (uniform shear flow), is investigated by means of the direct simulation Monte Carlo method to solve the…

Soft Condensed Matter · Physics 2015-03-19 Antonio Astillero , Andrés Santos

A Classical Trajectory Monte Carlo (CTMC) simulation has been made of processes of charge exchange and ionization between an hydrogen atom and fully stripped ions embedded in very strong static electric fields ($O(10^{10}$ V/m$)$), which…

Nuclear Theory · Physics 2009-10-28 Luca Salasnich , Fabio Sattin

Collective bremsstrahlung of vector meson fields in relativistic nuclear collisions is studied within the time-dependent Walecka model. Mutual deceleration of the colliding nuclei is described by introducing the effective stopping time and…

High Energy Physics - Phenomenology · Physics 2009-10-30 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

The non-equilibrium gas dynamics is described by the Boltzmann equation, which can be solved numerically through the deterministic and stochastic methods. Due to the complicated collision term of the Boltzmann equation, many kinetic…

Computational Physics · Physics 2021-02-03 Xiaocong Xu , Yipei Chen , Kun Xu

We present high resolution numerical simulations of convection in multiphase flows (boiling) using a novel algorithm based on a Lattice Boltzmann method. We first validate the thermodynamical and kinematical properties of the algorithm.…

Fluid Dynamics · Physics 2015-06-03 L. Biferale , P. Perlekar , M. Sbragaglia , F. Toschi

Within the framework of an isospin-dependent Boltzmann-Uehling-Uhlenbeck (BUU) model using initial proton and neutron densities calculated from the nonlinear relativistic mean-field (RMF) theory, we compare the strength of transverse…

Nuclear Theory · Physics 2009-09-25 Bao-An Li , Z. Z. Ren , C. M. Ko , S. J. Yennello

This manuscript focus on an extensive survey with new techniques on the problem of solving the Boltzmann flow by bringing a unified approach to the Cauchy problem to homogeneous kinetic equations with Boltzmann-like collision operators…

Mathematical Physics · Physics 2023-01-11 Ricardo J. Alonso , Irene M. Gamba

The Dynamic Monte Carlo (DMC) method is an established molecular simulation technique for the analysis of the dynamics in colloidal suspensions. An excellent alternative to Brownian Dynamics or Molecular Dynamics simulation, DMC is…

Soft Condensed Matter · Physics 2020-07-15 Fabián A. García Daza , Alejandro Cuetos , Alessandro Patti

Analysis of directed flow ($v_1$) of protons, antiprotons and pions in heavy-ion collisions is performed in the range of collision energies $\sqrt{s_{NN}}$ = 2.7--39 GeV. Simulations have been done within a three-fluid model employing a…

Nuclear Theory · Physics 2017-12-12 Yuri B. Ivanov

We report on the most recent applications of the Auxiliary Field Diffusion Monte Carlo (AFDMC) method. The equation of state (EOS) for pure neutron matter in both normal and BCS phase and the superfluid gap in the low--density regime are…

Spectral methods, thanks to their high accuracy and the possibility to use fast algorithms, represent an effective way to approximate the collisional kinetic equations of Boltzmann type, such as the Boltzmann-Nordheim equation. This…

Numerical Analysis · Mathematics 2021-10-27 Alexandre Mouton , Thomas Rey
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