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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

A semiclassical Quantum Hydrodynamic model has been derived by taking the moments of the Wigner-Boltzmann equation. For the first time, the closure has been achieved by the use of the momentum shifted version of all order quantum corrected…

Statistical Mechanics · Physics 2015-02-04 Anirban Bose , Mylavarapu S. Janaki

We construct the general theory of first-order relativistic hydrodynamics for a fluid exhibiting a chiral anomaly, including all possible viscous terms allowed by symmetry. Using standard techniques, we compute the necessary and sufficient…

Nuclear Theory · Physics 2023-12-18 Nick Abboud , Enrico Speranza , Jorge Noronha

We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the energy-momentum tensor and particle current into nondissipative…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tomoya Hayata , Yoshimasa Hidaka , Masaru Hongo , Toshifumi Noumi

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

We develop a general framework in the renormalization-group (RG) method for extracting a mesoscopic dynamics from an evolution equation by incorporating some excited (fast) modes as additional components to the invariant manifold spanned by…

Fluid Dynamics · Physics 2015-10-19 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

We use a lattice Boltzmann method to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by…

Soft Condensed Matter · Physics 2009-11-11 K. Furtado , J. M. Yeomans

After a brief account of the derivation of the first-order relativistic hydrodynamic equation as a construction of the invariant manifold of relativistic Boltzmann equation, we give a sketch of derivation of the second-order hydrodynamic…

Nuclear Theory · Physics 2015-06-05 Kyosuke Tsumura , Teiji Kunihiro

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for…

Nuclear Theory · Physics 2014-11-18 Matthew Luzum , Paul Romatschke

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

Nuclear Theory · Physics 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

We develop a flexible quasiparticle theory of transport coefficients of hot hadronic matter at finite baryon density. We begin with a hadronic quasiparticle model which includes a scalar and a vector mean field. Quasiparticle energies and…

Nuclear Theory · Physics 2016-01-20 M. Albright , J. I. Kapusta

In this work, we start with chiral kinetic theory and construct the spin hydrodynamic framework for a chiral spinor system. Using the 14-moment expansion formalism, we obtain the equations of motion of second-order dissipative relativistic…

Nuclear Theory · Physics 2021-04-26 Shuzhe Shi , Charles Gale , Sangyong Jeon

It has been over a decade since the first experimental data from gold nuclei collisions at the Relativistic Heavy Ion Collider suggested hydrodynamic behavior. While early ideal hydrodynamical models were surprisingly accurate in their…

Nuclear Theory · Physics 2013-07-30 Joshua Vredevoogd

Understanding the hydrodynamics of out-of-equilibrium dense viscous fluids is of key importance to accurate descriptions of physical systems such as compact stars, particularly their mergers. We consider a near-equilibrium relativistic…

High Energy Physics - Phenomenology · Physics 2025-07-17 Saga Säppi

We propose a stable first-order relativistic dissipative hydrodynamic equation in the particle frame (Eckart frame) for the first time. The equation to be proposed was in fact previously derived by the authors and a collaborator from the…

Nuclear Theory · Physics 2008-11-26 Kyosuke Tsumura , Teiji Kunihiro

We develop a set of kinetic equations for hydrodynamic fluctuations which are equivalent to nonlinear hydrodynamics with noise. The hydro-kinetic equations can be coupled to existing second order hydrodynamic codes to incorporate the…

Nuclear Theory · Physics 2017-02-01 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

We derive two general criteria that can be used to constrain the initial time of the onset of 2nd-order conformal viscous hydrodynamics in relativistic heavy-ion collisions. We show this explicitly for 0+1 dimensional viscous hydrodynamics…

High Energy Physics - Phenomenology · Physics 2014-08-26 Mauricio Martinez , Michael Strickland

We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom,…

Nuclear Theory · Physics 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

Starting from the Boltzmann equation in the relaxation time approximation and employing a Chapman-Enskog like expansion for the distribution function close to equilibrium, we derive second-order evolution equations for the shear stress…

Nuclear Theory · Physics 2015-11-18 Amaresh Jaiswal , Bengt Friman , Krzysztof Redlich

We derive the multi-component second-order dissipative relativistic hydrodynamic equations using the moment-expansion method. By computing the transport coefficients using hard-sphere interactions, we investigate the role of multiple…

High Energy Physics - Phenomenology · Physics 2022-07-15 Jin Hu , Shuzhe Shi
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