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This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order…

High Energy Physics - Phenomenology · Physics 2011-08-31 Shi Pu

We consider in a smooth and bounded two dimensional domain the convergence in the $L^2$ norm, uniformly in time, of the solution of the stochastic second-grade fluid equations with transport noise and no-slip boundary conditions to the…

Analysis of PDEs · Mathematics 2023-08-24 Eliseo Luongo

We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations. We also derive bounds on the higher curvature couplings in several…

High Energy Physics - Theory · Physics 2016-06-01 Srijit Bhattacharjee , Arpan Bhattacharyya , Sudipta Sarkar , Aninda Sinha

The shear viscosity bound violation in Einstein gravity for anisotropic black branes is discussed, with the aim of constraining the deviation of the shear viscosity-entropy density ratio from the shear viscosity bound using causality and…

High Energy Physics - Theory · Physics 2016-02-02 Xian-Hui Ge

In this paper, the Einstein AdS black brane solution in the presence of a string cloud in the context of d-dimensional massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound…

High Energy Physics - Theory · Physics 2020-11-05 Mehdi Sadeghi

The gauge/string-gravity duality correspondence opened renewed hope and possibility to address some of the fundamental and non-perturbative QCD problems in particle physics, such as hadron spectrum and Regge behavior of the scattering…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kyungsik Kang

Momentum relaxation is an ever-present and unavoidable ingredient of any realistic condensed matter system. In real-world materials the presence of a lattice, impurities or disorder forces momentum to dissipate and leads to relevant…

High Energy Physics - Theory · Physics 2016-10-18 Matteo Baggioli

In arXiv:1508.01343 [hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary $c$-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the…

High Energy Physics - Theory · Physics 2016-05-30 Shamik Banerjee , Arpan Bhattacharyya

The shear ($\eta$) and bulk ($\zeta$) viscous coefficients have been evaluated for a gluonic fluid. The elastic, $gg \rightarrow gg$ and the inelastic, number non-conserving, $gg\rightarrow ggg$ processes have been considered as the…

Nuclear Theory · Physics 2011-06-15 Santosh K Das , Jan-e Alam

We show that gaussian quantum fluctuations, even if infinitesimal, are sufficient to destroy the superfluidity of a disordered boson system in 1D and 2D. The critical disorder is thus finite no matter how small the repulsion is between…

Condensed Matter · Physics 2009-10-22 P Nisamaneephong , L. Zhang , M. Ma

This paper is the fourth in a series exploring the physical consequences of the solidity of highly viscous liquids. It is argued that the two basic characteristics of a flow event (a jump between two energy minima in configuration space)…

Soft Condensed Matter · Physics 2007-05-23 Jeppe C. Dyre

We prove well-posedness for the 3-D compressible Euler equations with moving physical vacuum boundary, with an equation of state given by the so-called gamma gas-law for gamma > 1. The physical vacuum singularity requires the sound speed c…

Analysis of PDEs · Mathematics 2010-05-17 Daniel Coutand , Steve Shkoller

The rich phenomena of the shear viscosity (eta) to entropy density (s) ratio, eta/s, in weakly coupled N-component scalar field theories are studied. eta/s can have a "double dip" behavior due to resonances and the phase transition. If an…

High Energy Physics - Phenomenology · Physics 2011-06-24 Jiunn-Wei Chen , Mei Huang , Chang-Tse Hsieh , Han-Hsin Lin

Two different kinetic theories [J. Solsvik and E. Manger (SM-theory), Phys. Fluids \textbf{33}, 043321 (2021) and V. Garz\'o, J. W. Dufty, and C. M. Hrenya (GDH-theory), Phys. Rev. E \textbf{76}, 031303 (2007)] are considered to determine…

Statistical Mechanics · Physics 2023-02-23 Moisés García Chamorro , Vicente Garzó

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

In this paper, we investigate the uniform regularity for the isentropic compressible Navier-Stokes system with general Navier-slip boundary conditions (1.6) and the inviscid limit to the compressible Euler system. It is shown that there…

Analysis of PDEs · Mathematics 2015-01-09 Wang Yong , Xin Zhouping , Yong Yan

This thesis considers out-of-equilibrium dynamics of strongly interacting non-relativistic Fermi gases in several two and three dimensional geometries. The tools of second-order hydrodynamics and gauge-gravity duality will be utilized to…

Quantum Gases · Physics 2018-04-30 William Lewis

The determination of the shear viscosity is a central topic in various areas of modern physics. In particular, it is often necessary to evaluate the shear viscosity $\eta$ of fluids made up of more than one species, all interacting with…

High Energy Physics - Phenomenology · Physics 2025-12-15 Gabriele Parisi , Vincenzo Nugara , Salvatore Plumari , Vincenzo Greco

Let $F$ be an $L^2$-normalized Siegel cusp form for $\mathrm{Sp}_4(\mathbb{Z})$ of weight $k$ that is a Hecke eigenform and not a Saito--Kurokawa lift. Assuming the Generalized Riemann Hypothesis, we prove that its Fourier coefficients…

Number Theory · Mathematics 2025-02-14 Félicien Comtat , Jolanta Marzec-Ballesteros , Abhishek Saha

The Einstein AdS black brane with a cloud of strings background in context of massive gravity is introduced. There is a momentum dissipation on the boundary because of graviton mass on the bulk. The ratio of shear viscosity to entropy…

High Energy Physics - Theory · Physics 2019-09-23 Mehdi Sadeghi , Hadi Ranjbari