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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 connect two different generalizations of Boltzmann's kinetic theory by requiring the same stationary solution. Non-extensive statistics can be produced by either using corresponding collision rates nonlinear in the one-particle densities…

Statistical Mechanics · Physics 2009-11-11 T. S. Biro , G. Kaniadakis

We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schroedinger equations for particle and antiparticle wave function components with positive probability densities.…

High Energy Physics - Phenomenology · Physics 2011-08-04 Cheuk-Yin Wong

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

The two-photon decay in hydrogen-like ions is investigated within the framework of second order perturbation theory and Dirac's relativistic equation. Special attention is paid to the angular correlation of the emitted photons as well as to…

Atomic Physics · Physics 2014-10-23 P. Amaro , F. Fratini , S. Fritzsche , P. Indelicato , J. P. Santos , A. Surzhykov

General features of the formalism describing hydrodynamic evolution of transversally thermalized matter possibly produced at the very early stages of ultra-relativistic heavy-ion collisions are presented. Thermodynamical consistency of the…

Nuclear Theory · Physics 2009-10-02 Radoslaw Ryblewski

We derive the hydrodynamic limit of a kinetic equation where the interactions in velocity are modelled by a linear operator (Fokker-Planck or Linear Boltzmann) and the force in the Vlasov term is a stochastic process with high amplitude and…

Analysis of PDEs · Mathematics 2020-03-23 Arnaud Debussche , Julien Vovelle

The correlation between the transverse momentum and the azimuthal asymmetry the flow is studied. A correlation coefficient is defined between the average transverse momentum of hadrons emitted in an event and the square of the elliptic or…

Nuclear Theory · Physics 2016-04-27 Piotr Bozek

We present recent results on bulk observables and electromagnetic probes obtained using a hybrid approach based on the Ultrarelativistic Quantum Molecular Dynamics transport model with an intermediate hydrodynamic stage for the description…

High Energy Physics - Phenomenology · Physics 2011-04-20 E. Santini , B. Bäuchle , H. Petersen , J. Steinheimer , M. Nahrgang , M. Bleicher

The particle diffusion in a fluid is a classical topic that dates back to more than one century ago. However, a full solution to this issue still lacks. In this work the velocity autocorrelation function and the diffusion constant are…

Fluid Dynamics · Physics 2016-08-03 Hanqing Zhao , Hong Zhao

We derive the equations of motion of relativistic, resistive, second-order dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation using the method of moments. We thus extend our previous work [Phys. Rev. D 98, 076009 (2018)],…

Nuclear Theory · Physics 2019-04-03 Gabriel S. Denicol , Etele Molnár , Harri Niemi , Dirk H. Rischke

Development of a new framework for derivation of order-by-order hydrodynamics from Boltzmann equation is necessary as the widely used Anderson-Witting formalism leads to violation of fundamental conservation laws when the relaxation-time…

Nuclear Theory · Physics 2022-06-07 Dipika Dash , Samapan Bhadury , Sunil Jaiswal , Amaresh Jaiswal

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover -- via theoretical arguments, conjectures, and numerical simulations -- how…

Statistical Mechanics · Physics 2007-05-23 Kevin K. Lin , Lai-Sang Young

We explore the application of Monte Carlo transport methods to solving coupled radiation-hydrodynamics problems. We use a time-dependent, frequency-dependent, 3-dimensional radiation transport code, that is special relativistic and includes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Nathaniel Roth , Daniel Kasen

We give a short review about the hydrodynamic model and its application to the elliptic flow phenomena and the pion interferometry in relativistic heavy ion collisions.

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

We derive relativistic viscous hydrodynamic equations invoking the generalized second law of thermodynamics for two different forms of the non-equilibrium single-particle distribution function. We find that the relaxation times in these two…

Nuclear Theory · Physics 2013-10-17 Rajeev S. Bhalerao , Amaresh Jaiswal , Subrata Pal , V. Sreekanth

Hydrodynamic attractors have recently gained prominence in the context of early stages of ultra-relativistic heavy-ion collisions at the RHIC and LHC. We critically examine the existing ideas on this subject from a phase space point of…

High Energy Physics - Theory · Physics 2020-09-24 Michal P. Heller , Ro Jefferson , Michał Spaliński , Viktor Svensson

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

Statistical Mechanics · Physics 2015-06-24 S. R. Sharov

The quantum hydrodynamic theory is a promising method for describing microscopic details of macroscopic systems. The hydrodynamic equation can be directly obtained from a single particle Kohn-Sham equation that includes the contribution of…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Cristian Ciracì