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Related papers: Causal and stable first-order chiral hydrodynamics

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Starting from low energy effective chiral Lagrangian with gauged Wess-Zumino Witten term, we have derived a hydrodynamic theory for chiral superfluid. It is a non-abelian hydrodynamics at zero temperature with only superfluid components.…

High Energy Physics - Phenomenology · Physics 2013-05-30 Shu Lin

We consider 3+1-dimensional fluids with U(1)^3 anomalies. We use Ward identities to constrain low-momentum Euclidean correlation functions and obtain differential equations that relate two and three-point functions. The solution to those…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen

We investigate the stability of growing vesicles using the formalism of nonequilibrium thermodynamics. The vesicles are growing due to the accretion of lipids to the bilayer which forms the vesicle membrane. The thermodynamic description is…

Soft Condensed Matter · Physics 2011-07-06 Richard G. Morris , Alan J. McKane

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning…

Soft Condensed Matter · Physics 2022-07-22 Debarghya Banerjee , Anton Souslov , Vincenzo Vitelli

Motivated by recent experimental and computational results that show a motility-induced clustering transition in self-propelled particle systems, we study an individual model and its corresponding Self-Organized Hydrodynamic model for…

Adaptation and Self-Organizing Systems · Physics 2016-02-22 Pierre Degond , Silke Henkes , Hui Yu

We study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green's functions to the upper half complex…

High Energy Physics - Theory · Physics 2023-12-14 Daniel Areán , Blaise Goutéraux , Eric Mefford , Filippo Sottovia

Liquid crystal elastomers are special cross-linked polymer materials combining the large elastic deformability of elastomers with the orientational orders of liquid crystals. This model exhibits markedly different phenomena than the liquid…

Analysis of PDEs · Mathematics 2023-07-18 Xiaonan Hao , Jiaxi Huang , Ning Jiang

A more restrictively general stability criterion of two-dimensional inviscid parallel flow is obtained analytically. First, a sufficient criterion for stability is found as either $-\mu_1<\frac{U''}{U-U_s}<0$ or $0<\frac{U''}{U-U_s}$ in the…

Fluid Dynamics · Physics 2010-06-10 Liang Sun

It is well known that the standard transport equations violate causality when gradients are large or when temporal variations are rapid. We derive a modified set of transport equations that satisfy causality. These equations are obtained…

Astrophysics · Physics 2009-10-22 Ramesh Narayan , Abraham Loeb , Pawan Kumar

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

Causality and stability are fundamental requirements for the differential equations describing predictable relativistic many-body systems. In this work, we investigate the stability and causality criteria in linear mode analysis. We discuss…

High Energy Physics - Theory · Physics 2024-02-22 Dong-Lin Wang , Shi Pu

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

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is performed to study the conditions for stability of a suspension of solid particles immersed in a viscous gas. The dissipation in such…

Statistical Mechanics · Physics 2017-03-28 Rubén Gómez González , Vicente Garzó

First-order relativistic conformal hydrodynamics in a general (hydrodynamic) frame is characterized by a shear viscosity coefficient and two UV-regulator parameters. Within a certain range of these parameters, the equilibrium is stable and…

High Energy Physics - Theory · Physics 2023-12-12 Navid Abbasi , Ali Davody , Sara Tahery

Dissipative relativistic fluid dynamics is not always causal and can favor superluminal signal propagation under certain circumstances. On the other hand, high-energy nuclear collisions have a microscopic description in terms of QCD and are…

Nuclear Theory · Physics 2018-09-26 Stefan Floerchinger , Eduardo Grossi

We investigate the causality and stability of the relativistic theory of magnetohydrodynamics derived in Phys. Rev. D 109, 096021 (2024) to describe a locally neutral two-component plasma of massless particles. We show that this formalism…

Nuclear Theory · Physics 2025-05-16 Caio V. P. de Brito , Khwahish Kushwah , Gabriel S. Denicol

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

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

In the presence of viscosity the hydraulic jump in one dimension is seen to be a first-order transition. A scaling relation for the position of the jump has been determined by applying an averaging technique on the stationary hydrodynamic…

Other Condensed Matter · Physics 2016-08-31 Subhendu B. Singha , Jayanta K. Bhattacharjee , Arnab K. Ray

We show that certain radially symmetric steady states of compressible viscous fluids in domains with inflow/outflow boundary conditions are unconditionally stable. This means that any not necessarily radially symmetric solution of the…

Analysis of PDEs · Mathematics 2024-12-20 Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda
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