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We study the derivation of ion dynamics, namely, the ionic Euler--Poisson system, from kinetic descriptions. The kinetic framework consists of the ionic Vlasov--Poisson equation coupled with either a nonlinear Fokker--Planck operator or a…

Analysis of PDEs · Mathematics 2025-08-13 Young-Pil Choi , Dowan Koo , Sihyun Song

We analyze the evolution of hydrodynamic fluctuations for QCD matter below $T_c$ in the chiral limit, where the pions (the Goldstone modes) must be treated as additional non-abelian superfluid degrees of freedom, reflecting the broken…

High Energy Physics - Theory · Physics 2020-08-05 Eduardo Grossi , Alexander Soloviev , Derek Teaney , Fanglida Yan

We obtain hydrodynamic equations describing a fluid consisting of chiral molecules or a suspension of chiral particles in a Newtonian fluid. The stresses arising in a flowing chiral liquid have a component forbidden by symmetry in a…

Soft Condensed Matter · Physics 2011-09-12 A. V. Andreev , T. D. Son , B. Spivak

We determine the kinetic coefficients of ultrasoft pions using chiral perturbation theory at finite temperature close to the chiral limit. This is used to compute the axial charge diffusion and damping coefficients in the hydrodynamic…

High Energy Physics - Phenomenology · Physics 2022-10-05 Juan M. Torres-Rincon , Derek Teaney

Based on the (3+1)-dimensional hydrodynamic model, the space-time evolution of hot and dense nuclear matter produced in non-central relativistic heavy-ion collisions is discussed. The elliptic flow parameter v_2 is obtained by Fourier…

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

The free energy and the equation of state of isospin-asymmetric nuclear matter are calculated at finite temperature up to three loop order in the framework of in-medium chiral perturbation theory, systematically incorporating one- and…

Nuclear Theory · Physics 2012-03-14 Salvatore Fiorilla , Norbert Kaiser , Wolfram Weise

One of the primary goals of nuclear physics is studying the phase diagram of Quantum Chromodynamics, where a hypothetical critical point serves as a landmark. A systematic model-data comparison of heavy-ion collisions at center-of-mass…

Nuclear Theory · Physics 2021-07-20 Lipei Du

Low-energy dynamics of many-body fracton excitations necessary to describe topological defects should be governed by a novel type of hydrodynamic theory. We use a Poisson bracket approach to systematically derive hydrodynamic equations from…

Strongly Correlated Electrons · Physics 2022-01-17 Kevin T. Grosvenor , Carlos Hoyos , Francisco Peña-Benítez , Piotr Surówka

By extending the Poisson algebra of ideal hydrodynamics to include a two-index tensor field, we construct a new (2+1)-dimensional hydrodynamic theory that we call "chiral metric hydrodynamics." The theory breaks spatial parity and contains…

Strongly Correlated Electrons · Physics 2019-08-14 Dam Thanh Son

We present a new approximation to include fully general relativistic pressure and velocity in Newtonian hydrodynamics. The energy conservation, momentum conservation and two Poisson's equations are consistently derived from Einstein's…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Jai-chan Hwang , Hyerim Noh , J'ulio Fabris , Oliver F. Piattella , Winfried Zimdahl

The hadronic phase and its dynamics in relativistic heavy-ion collisions are topics of immense discussion. The hadronic phase contains various massive hadrons with an abundance of the lightest hadron, i.e., $\pi$-mesons (pions). In this…

High Energy Physics - Phenomenology · Physics 2025-04-22 Ronald Scaria , Captain R. Singh , Raghunath Sahoo

We consider two methods to find the effective parameters of the pion traversing a nuclear medium. One is the first order chiral perturbation theoretic evaluation of the pion pole contribution to the two-point function of the axial-vector…

Nuclear Theory · Physics 2009-11-10 S. Mallik , Sourav Sarkar

We consider an exclusion process with finite-range interactions in the microscopic interval $[0,N]$. The process is coupled with the simple symmetric exclusion processes in the intervals $[-N,-1]$ and $[N+1,2N]$, which simulate reservoirs.…

Mathematical Physics · Physics 2020-04-22 Pasha Tkachov

Considerable effort has been directed towards the characterization of chiral mesoscale structures, as shown in chiral protein assemblies and carbon nanotubes. Here, we establish a thermally-driven hydrodynamic description for the actuation…

Soft Condensed Matter · Physics 2023-12-14 E. Kirkinis , A. V. Andreev , M. Olvera de la Cruz

We consider quasi-free quantum systems and we derive the Euler equation using the so-called hydrodynamic limit. We use Wigner's well-known distribution function and discuss an extension to band distribution functions for particles in a…

Statistical Mechanics · Physics 2015-06-25 Christian Maes , Wolfgang Spitzer

We derive a hydrodynamical description of the eigenvalues of the chiral Dirac spectrum in the vacuum and in the large $N$ (volume) limit. The linearized hydrodynamics supports sound waves. The stochastic relaxation of the eigenvalues is…

High Energy Physics - Phenomenology · Physics 2015-12-23 Yizhuang Liu , Piotr Warchol , Ismail Zahed

Quantum mechanical equations of motion are strictly linear in state descriptors, such as wavefunctions and density matrices, but equations describing chemical kinetics and hydrodynamics may be non-linear in concentrations. This…

Chemical Physics · Physics 2025-05-06 Anupama Acharya , Madhukar Said , Sylwia J. Barker , Marcel Utz , Bruno Linclau , Ilya Kuprov

This presentation starts with a brief review of our current picture of QCD phases, derived from lattice QCD thermodynamics and from models based on the symmetries and symmetry breaking patterns of QCD. Typical approaches widely used in this…

Nuclear Theory · Physics 2015-06-03 Wolfram Weise

The special relativistic hydrodynamics with weak gravity is hitherto unknown in the literature. Whether such an asymmetric combination is possible was unclear. Here, the hydrodynamic equations with Poisson-type gravity considering fully…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Jai-chan Hwang , Hyerim Noh
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