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This paper explores the phenomena of enhanced dissipation and Taylor dispersion in solutions to the passive scalar equations subject to time-dependent shear flows. The hypocoercivity functionals with carefully tuned time weights are applied…

Analysis of PDEs · Mathematics 2023-09-29 Daniel Coble , Siming He

Among the key features of hot and dense QCD matter produced in ultra-relativistic heavy-ion collisions at RHIC is its very low shear viscosity, indicative of the properties of a near-ideal fluid, and a large opacity demonstrated by jet…

Nuclear Theory · Physics 2010-12-09 John Fuini , Nasser S. Demir , Dinesh K. Srivastava , Steffen A. Bass

We provide a consistent theory of turbulence in the presence of shear and rotation. Starting from a quasi-linear equation for the fluctuating fields, we derive turbulence amplitude and turbulent transport coefficients, taking into account…

Fluid Dynamics · Physics 2009-11-13 Nicolas Leprovost , Eun-Jin Kim

Iteration method is commonly used in solving linear systems of equations. We present quantum algorithms for the relaxed row and column iteration methods by constructing unitary matrices in the iterative processes, which generalize row and…

Quantum Physics · Physics 2022-06-29 Xiao-Qi Liu , Jing Wang , Ming Li , Shu-Qian Shen , Weiguo Li , Shao-Ming Fei

In recent years, there has been a significant effort to extract the temperature-dependent shear ($\eta/s$) and bulk ($\zeta/s$) viscosity over entropy ratios of the quark-gluon plasma from a global comparison of heavy-ion data with results…

Nuclear Theory · Physics 2023-02-28 Fernando G. Gardim , Jean-Yves Ollitrault

We estimate the shear and the bulk viscous coefficients for a hot hadronic gas mixture constituting of pions and nucleons. The viscosities are evaluated in the relativistic kinetic theory approach by solving the transport equation in the…

Nuclear Theory · Physics 2017-03-13 Utsab Gangopadhyaya , Snigdha Ghosh , Sukanya Mitra , Sourav Sarkar

The shear viscosity for a moderately dense granular binary mixture of smooth hard spheres undergoing uniform shear flow is determined. The basis for the analysis is the Enskog kinetic equation, solved first analytically by the…

Statistical Mechanics · Physics 2009-11-10 Vicente Garzo , Jose Maria Montanero

The choice of elastic energies for thin plates and shells is an unsettled issue with consequences for much recent modeling of soft matter. Through consideration of simple deformations of a thin body in the plane, we demonstrate that four…

Soft Condensed Matter · Physics 2019-06-04 H. G. Wood , J. A. Hanna

Relaxation processes in supercooled liquids are known to exhibit interesting as well as complex behavior. One of the hallmarks of this relaxation process observed in the measured auto correlation function is occurrence of multiple steps of…

Soft Condensed Matter · Physics 2018-08-01 Rajsekhar Das , Indrajit Tah , Smarajit Karmakar

The viscoelastic effect on the hydrodynamic relaxation in semidilute polymer solutions is investigated. From the linearized two-fluid model equations, we predict that the dynamical asymmetry coupling between the velocity fluctuations and…

Soft Condensed Matter · Physics 2009-11-07 Akira Furukawa

We study shear stress relaxation for a gelling melt of randomly crosslinked, interacting monomers. We derive a lower bound for the static shear viscosity $\eta$, which implies that it diverges algebraically with a critical exponent $k\ge…

Statistical Mechanics · Physics 2013-02-26 Claas H. Köhler , Henning Löwe , Peter Müller , Annette Zippelius

Hydrodynamic flow occurs in an electron liquid when the mean free path for electron-electron collisions is the shortest length scale in the problem. In this regime, transport is described by the Navier-Stokes equation, which contains two…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Alessandro Principi , Giovanni Vignale , Matteo Carrega , Marco Polini

Shear viscosity is a dynamical property of fluid systems close to equilibrium, describing resistance to sheared flow. After reviewing the physics of viscosity and the reason it is usually difficult to compute, I discuss its importance…

High Energy Physics - Phenomenology · Physics 2020-10-30 Guy D. Moore

A general non-linear response theory is derived for an arbitrary time-dependent Hamiltonian, not necessarily obeying time-reversal symmetry. This allows us to obtain a greatly generalized Kubo type formula. Applied to a mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ines Safi

We have explored the shear viscosity and electrical conductivity calculations for bosonic and fermionic medium, which goes from without to with magnetic field picture and then their simplified massless expressions. In presence of magnetic…

High Energy Physics - Phenomenology · Physics 2020-10-12 Jayanta Dey , Sarthak Satapathy , Prasanta Murmu , Sabyasachi Ghosh

We have calculated the temperature dependence of shear $\eta$ and bulk $\zeta$ viscosities of quark matter due to quark-meson fluctuations. The quark thermal width originating from quantum fluctuations of quark-$\pi$ and quark-$\sigma$…

Nuclear Theory · Physics 2016-07-20 Sabyasachi Ghosh , Thiago C. Peixoto , Victor Roy , Fernando E. Serna , Gastão Krein

The phenomenology of the beta relaxation process in the shear-mechanical response of glass-forming liquids is summarized and compared to that of the dielectric beta process. Furthermore, we discuss how to model the observations by means of…

Soft Condensed Matter · Physics 2011-02-04 Bo Jakobsen , Kristine Niss , Claudio Maggi , Niels Boye Olsen , Tage Christensen , Jeppe C. Dyre

Molecular-dynamics simulations are presented for two correlation functions formed with the partial density fluctuations of binary hard-sphere mixtures in order to explore the effects of mixing on the evolution of glassy dynamics upon…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , W. Gotze , F. Sciortino , P. Tartaglia , Th. Voigtmann

Hydrodynamic equations are used to identify the final state reached by a freely evolving granular gas above but close to its shear instability. The theory predicts the formation of a two bands shear state with a steady density profile.…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero , A. Dominguez

Crystalline bilayers of charged colloidal suspensions which are confined between two parallel plates and sheared via a relative motion of the two plates are studied by extensive Brownian dynamics computer simulations. The charge-stabilized…

Soft Condensed Matter · Physics 2007-05-23 René Messina , Hartmut Löwen
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