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This paper studies the one dimensional Navier-Stokes-Fourier-Korteweg system of equations describing the evolution of a heat-conducting compressible fluid that exhibits viscosity and capillarity. The main goal of the present analysis is to…

Analysis of PDEs · Mathematics 2023-08-01 Ramón G. Plaza , José M. Valdovinos

Non-ideal fluid dynamics with cylindrical symmetry in transverse direction and longitudinal scaling flow is employed to simulate the space-time evolution of the quark-gluon plasma produced in heavy-ion collisions at RHIC energies. The…

Nuclear Theory · Physics 2007-05-23 Azwinndini Muronga , Dirk H. Rischke

We present an extensive direct numerical simulation of statistically steady, homogeneous, isotropic turbulence in two-dimensional, binary-fluid mixtures with air-drag-induced friction by using the Cahn-Hilliard-Navier-Stokes equations. We…

Fluid Dynamics · Physics 2016-11-16 Nairita Pal , Prasad Perlekar , Anupam Gupta , Rahul Pandit

We report a study on axially and reflection symmetric dissipative fluids, just after its departure from hydrostatic and thermal equilibrium, at the smallest time scale at which the first signs of dynamic evolution appear. Such a time scale…

General Relativity and Quantum Cosmology · Physics 2016-10-12 L. Herrera , A. Di Prisco , J. Ospino , J. Carot

In recent works, we proposed a theory of turbulence creation via the second coefficient of the virial expansion (i.e. the van der Waals effect). This theory relies, in part, on the empirically observed "equilibrated" behavior of pressure in…

Fluid Dynamics · Physics 2025-08-14 Rafail V. Abramov

Starting from a simple mechanical constitutive model (the non-local diffusive Johnson-Segalman model; DJS model), we provide a rigorous theoretical explanation as to why a unique value of the stress plateau of a highly sheared viscoelastic…

Soft Condensed Matter · Physics 2011-03-21 Katsuhiko Sato , Xue-Feng Yuan , Toshihiro Kawakatsu

We formulate the first-order dissipative anisotropic hydrodynamical theory for a relativistic conformal uncharged fluid, which generalizes the Bemfica-Disconzi-Noronha-Kovtun first-order viscous fluid framework. Our approach maintains…

High Energy Physics - Theory · Physics 2023-10-05 Fabio S. Bemfica , Mauricio Martinez , Masoud Shokri

Fractal decimation reduces the effective dimensionality of a flow by keeping only a (randomly chosen) set of Fourier modes whose number in a ball of radius $k$ is proportional to $k^D$ for large $k$. At the critical dimension D=4/3 there is…

Chaotic Dynamics · Physics 2015-05-30 Uriel Frisch , Anna Pomyalov , Itamar Procaccia , Samriddhi Sankar Ray

Critical behaviour of a fluid, subjected to strongly anisotropic turbulent mixing, is studied by means of the field theoretic renormalization group. As a simplified model, relaxational stochastic dynamics of a non-conserved scalar order…

Statistical Mechanics · Physics 2008-11-26 N. V. Antonov , A. A. Ignatieva

The simplest density functional theory due to Thomas, Fermi, Dirac and Weizsacker is employed to describe the non-equilibrium thermodynamic evolution of an electron gas. The temperature effect is introduced via the Fermi-Dirac entropy,…

Quantum Physics · Physics 2015-06-25 R. Tsekov

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

By considering a solvable driven-dissipative quantum model, we demonstrate that continuous second order phase transitions in dissipative systems may occur without an accompanying spontaneous symmetry breaking. As such, the underlying…

Quantum Physics · Physics 2018-10-24 Julia Hannukainen , Jonas Larson

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

Motivated by the experimentally observed shear-induced destabilization and reorientation of smectic A like systems, we consider an extended formulation of smectic A hydrodynamics. We include both, the smectic layering (via the layer…

Soft Condensed Matter · Physics 2009-11-07 Guenter K. Auernhammer , Helmut R. Brand , Harald Pleiner

A model system for classical fluids out of equilibrium, referred to as DPD solid (Dissipative Particles Dynamics), is studied by analytical and simulation methods. The time evolution of a DPD particle is described by a fluctuating heat…

Statistical Mechanics · Physics 2009-11-10 Marisol Ripoll , Matthieu H. Ernst

A model of dipolar dimer liquid (DDL) on a two-dimensional lattice has been proposed. We found that at high density and low temperature, it has a partially ordered phase which we called glacia phase. The glacia phase transition can be…

Statistical Mechanics · Physics 2019-02-26 Junyi Zhang

Given a first-order nonlinear hyperbolic system of conservation laws endowed with a convex entropy-entropy flux pair, we can consider the class of weak solutions containing shock waves depending upon some small scale parameters. In this…

Analysis of PDEs · Mathematics 2019-12-10 Philippe G. LeFloch , Allen M. Tesdall

One of the main theoretical issues in developing a theory of anisotropic viscoelastic media at finite strains lies in the proper definition of the material symmetry group and its evolution with time. In this paper the matter is discussed…

Soft Condensed Matter · Physics 2021-02-03 Jacopo Ciambella , Paola Nardinocchi

We study the dynamics of a 2+1 dimensional relativistic viscous conformal fluid in Minkowski spacetime. Such fluid solutions arise as duals, under the "gravity/fluid correspondence", to 3+1 dimensional asymptotically anti-de Sitter (AAdS)…

High Energy Physics - Theory · Physics 2014-01-15 Stephen R. Green , Federico Carrasco , Luis Lehner

We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent…

High Energy Physics - Theory · Physics 2017-02-01 Felix M. Haehl , R. Loganayagam , Mukund Rangamani