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The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

High Energy Physics - Phenomenology · Physics 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

This paper concerns the global-in-time evolution of a generic compressible two-fluid model in $\mathbb{R}^d$ ($d\geq3$) with the common pressure law. Due to the non-dissipative properties for densities and two different particle paths…

Analysis of PDEs · Mathematics 2025-02-11 Ling-Yun Shou , Jiayan Wu , Lei Yao , Yinghui Zhang

Motivated by recent experimental realization of a Bose-Einstein condensate (BEC) of dipolar molecules, we develop superfluid transport theory for a dissipative BEC to show that a weak uniform two-body loss can induce phase rigidity, leading…

Quantum Gases · Physics 2025-10-16 Hongchao Li , Xie-Hang Yu , Masaya Nakagawa , Masahito Ueda

We apply the postquasistatic approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of dissipative and electrically charged distributions in General Relativity. We evolve…

General Relativity and Quantum Cosmology · Physics 2015-03-17 L. Rosales , W. Barreto , C. Peralta , B. Rodrí guez-Mueller

Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly…

Nuclear Theory · Physics 2018-06-06 M. McNelis , D. Bazow , U. Heinz

We consider a stochastic partial differential equation (SPDE) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force. Here, the extra stress tensor of the fluid is given by a polynomial…

Probability · Mathematics 2012-10-09 Nobuo Yoshida

By means of a unifying measure-theoretic approach, we establish lower bounds on the Hausdorff dimension of the space-time set which can support anomalous dissipation for weak solutions of fluid equations, both in the presence or absence of…

Analysis of PDEs · Mathematics 2024-07-29 Luigi De Rosa , Theodore D. Drivas , Marco Inversi

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. Comparison of the solutions with kinetic transport results demonstrates validity of the obtained…

High Energy Physics - Theory · Physics 2015-06-05 Andrej El , Ioannis Bouras , Christian Wesp , Zhe Xu , Carsten Greiner

Second-order dissipative hydrodynamic equations for each component of a multi-component system are derived using the entropy principle. The shear viscosity of the whole system, appearing in the equation summed-up over all components, is…

High Energy Physics - Phenomenology · Physics 2011-03-24 Andrej El , Ioannis Bouras , Francesco Lauciello , Zhe Xu , Carsten Greiner

We present the first numerical simulations of the symmetric--hyperbolic theory for conformal dissipative relativistic fluids developed in [1]. In this theory, the information of the fluid dynamics is encoded in a scalar generating function…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Pablo Montes , Marcelo E. Rubio , Oscar A. Reula

Chiral active fluids consist of self-spinning particles that rotate as a result of a continuous injection of energy on the microscopic scale (e.g., by activity or an external field). The hydrodynamics of such fluids is described by…

Fluid Dynamics · Physics 2025-10-23 Laura Meissner-Oszer , Bogdan Cichocki , Jeffrey C. Everts

We consider the fluctuation modes around a hypersurface $\Sigma_c$ in a $(d+2)$-dimensional product Einstein manifold, with $\Sigma_c$ taken either near the horizon or at some finite cutoff from the horizon. By mapping the equations that…

High Energy Physics - Theory · Physics 2015-01-30 Xin Hao , Bin Wu , Liu Zhao

With asymptotic method developed from weak turbulent theory, the kinetic equations for QGP are expanded in fluctuation field potential $A^T_\mu $. Considering the second-order and third-order currents, we derive the nonlinear permeability…

High Energy Physics - Theory · Physics 2015-06-26 Zheng Xiaoping , Li Jiarong

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 nonequilibrium dynamics of a binary Lennard-Jones mixture in a simple shear flow is investigated by means of molecular dynamics simulations. The range of temperature investigated covers both the liquid, supercooled and glassy states,…

Soft Condensed Matter · Physics 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

The full set of equations governing the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses is deployed and used to carry out a general study on the behaviour of such systems, in the context of…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. Herrera , A. Di Prisco , J. Martin , J. Ospino , N. O. Santos , O. Troconis

We use the dissipative type theory (DTT) framework to solve for the evolution of conformal fluids in Bjorken and Gubser flows from isotropic initial conditions. The results compare well with both exact and other hydrodynamic solutions in…

Nuclear Theory · Physics 2020-05-15 Esteban Calzetta , Lucas Cantarutti

We have measured the nonlinear rheological response of a model transient network over a large range of steady shear rates. The system is built up from an oil in water droplet microemulsion into which a telechelic polymer is incorporated.…

Soft Condensed Matter · Physics 2009-11-10 Eric Michel , Jacqueline Appell , Francois Molino , Jean Kieffer , Gregoire Porte

This paper investigates enhanced dissipation for a passive scalar advected by "very rough" horizontal shear flows, described by an advection-diffusion equation on the 2D torus. The authors extend results of Galeati and Gubinelli (2023) to…

Analysis of PDEs · Mathematics 2025-11-03 Marco Romito , Leonardo Roveri

We introduce a discrete numerical method based on the diffusion-limited aggregation (DLA) approach to simulate two-fluid Hele-Shaw flow subject to the Saffman-Taylor interfacial instability, in the case where the displaced fluid is…

Fluid Dynamics · Physics 2024-11-13 J. Adriazola , B. Gu , L. Cummings , L. Kondic