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We present a mechanistic model for a Newtonian fluid called fluid particle dynamics. By analyzing the concept of ``fluid particle'' from the point of view of a Voronoi tessellation of a molecular fluid, we propose an heuristic derivation of…

Statistical Mechanics · Physics 2009-10-30 Pep Español

We comprehensively study Galilean and Carrollian hydrodynamics on arbitrary backgrounds, in the presence of a matter/charge conserved current. For this purpose, we follow two distinct and complementary paths. The first is based on local…

High Energy Physics - Theory · Physics 2022-09-22 Anastasios C. Petkou , P. Marios Petropoulos , David Rivera Betancour , Konstantinos Siampos

The turbulent jets are usually described by classical velocities. The relativistic case can be treated starting from the conservation of the relativistic momentum. The two key assumptions which allow to obtain a simple expression for the…

High Energy Astrophysical Phenomena · Physics 2011-09-20 Lorenzo Zaninetti

We consider the linear kinematics of large-scale peculiar motions in a perturbed Friedmann universe. In so doing, we take the viewpoint of the "real" observers that move along with the peculiar flow, relative to the smooth Hubble expansion.…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Eleni Tsaprazi , Christos G. Tsagas

We solve the relativistic Riemann problem in viscous matter using the relativistic Boltzmann equation and the relativistic causal dissipative fluid-dynamical approach of Israel and Stewart. Comparisons between these two approaches clarify…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. Bouras , E. Molnar , H. Niemi , Z. Xu , A. El , O. Fochler , C. Greiner , D. H. Rischke

In this work, we introduce an effective model for both ideal and viscous fluid dynamics within the framework of kinetic field theory (KFT). The main application we have in mind is cosmic structure formation where gaseous components need to…

Statistical Mechanics · Physics 2018-11-01 C. Viermann , J. T. Schneider , R. Lilow , F. Fabis , C. Littek , E. Kozlikin , M. Bartelmann

We present a new general formalism for introducing thermal fluctuations in relativistic hydrodynamics, which incorporates recent developments on the causality and stability of relativistic hydrodynamic theories. Our approach is based on the…

Nuclear Theory · Physics 2023-12-13 Nicki Mullins , Mauricio Hippert , Lorenzo Gavassino , Jorge Noronha

We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the first law of thermodynamics to derive the generalized…

Mathematical Physics · Physics 2018-11-14 Hajime Koba , Kazuki Sato

We review the role of fluids in cosmology by first introducing them in General Relativity and then by applying them to a FRW Universe's model. We describe how relativistic and non-relativistic components evolve in the background dynamics.…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-24 Jorge L. Cervantes-Cota , Jaime Klapp

Recent theoretical developments of relativistic hydrodynamics applied to ultrarelativistic heavy-ion collisions are briefly reviewed. In particular, the concept of a formal gradient expansion is discussed, which is a tool to compare…

Nuclear Theory · Physics 2017-12-15 Wojciech Florkowski

A new derivation of the Bernoulli equation for water waves in three-dimensional rotating and translating coordinate systems is given. An alternative view on the Bateman-Luke variational principle is presented. The variational principle…

Fluid Dynamics · Physics 2020-04-22 Hamid Alemi Ardakani

Recent developments based on relativistic hydrodynamic models in high energy heavy ion collisions are discussed. I focus especially on how hydrodynamics works at RHIC energies and how one can use the most of it in analyses of jet quenching…

Nuclear Theory · Physics 2010-11-30 Tetsufumi Hirano

The relativistic hydrodynamic approach is used to describe production of strangeness and/or heavy quarks in ultrarelativistic heavy ion reactions. Production processes are important ingredients of dissipative effects in the hadronic liquid.…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Turko

Just as non relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, thermal and turbulent fluctuations being the most relevant examples. Because of the theory's inherent…

High Energy Physics - Phenomenology · Physics 2022-12-21 Nahuel Mirón Granese , Alejandra Kandus , Esteban Calzetta

Two complementary and equally important approaches to relativistic physics are explained. One is the standard approach, and the other is based on a study of the flows of an underlying physical substratum. Previous results concerning the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tom Martin

A formalism for anisotropic fluid dynamics is proposed. It is designed to describe boost-invariant systems with anisotropic pressure. Such systems are expected to be produced at the early stages of relativistic heavy-ion collisions, when…

Nuclear Theory · Physics 2008-11-26 Wojciech Florkowski

A relativistic fluid ball with an inhomogeneous static stratified matter configuration is considered. A model of an astrophysical object with this structure of matter is constructed.

General Relativity and Quantum Cosmology · Physics 2011-12-30 Alexandre M. Baranov , Alexander Yu. Osipov

We present a variational approach for relativistic ideal hydrodynamics interacting with electromagnetic fields. The momentum of fluid is introduced as the canonical conjugate variable of the position of a fluid element, which coincides with…

High Energy Physics - Theory · Physics 2015-05-20 J. H. Gaspar Elsas , T. Koide , T. Kodama

This paper describes a multidimensional hydrodynamic code which can be used for studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws based…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Dongsu Ryu

In the present work an attempt has been made to study the dynamics of a diatomic molecule N2 in water. The proposed model consists of Langevin stochastic differential equation whose solution is obtained through Euler's method. The proposed…

Computational Engineering, Finance, and Science · Computer Science 2010-04-27 Nitin Sharma , Madhvi Shakya