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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…

广义相对论与量子宇宙学 · 物理学 2019-01-16 Laura Stricker , Hans Christian Öttinger

The linear stability of the homogeneous equilibrium of non-relativistic fluids with mass flux and special relativistic fluids with the absolute value of the energy vector as internal energy is investigated. It is proved that the equilibrium…

核理论 · 物理学 2011-07-14 P. Ván

Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in…

The global static stability of a Starling Resistor conveying non-Newtonian fluid is considered. The Starling Resistor consists of two rigid circular tubes and axisymmetric collapsible tube mounted between them. Upstream and downstream…

流体动力学 · 物理学 2014-12-22 V. S. Yushutin

In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

偏微分方程分析 · 数学 2016-12-19 Gieri Simonett , Mathias Wilke

The thermomagnetic convection of magnetic fluids in a cylindrical geometry subjected to a homogeneous magnetic field is studied. The study is motivated by a novel thermal instability [W. Luo et al., Phys. Rev. Lett. 82, 4134 (1999)]. As…

斑图形成与孤子 · 物理学 2009-11-07 Adrian Lange

A scalar model of wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a convective instability driven by a (negative) activity parameter. In this…

软凝聚态物质 · 物理学 2019-03-06 T. R. Kirkpatrick , J. K. Bhattacherjee

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

偏微分方程分析 · 数学 2026-05-27 Louis Garénaux , Bastian Hilder

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

软凝聚态物质 · 物理学 2020-04-15 Tanniemola B. Liverpool

An approach that extends equilibrium thermodynamics principles to out-of-equilibrium systems is based on the local equilibrium hypothesis. However, the validity of the a priori assumption of local equilibrium has been questioned due to the…

流体动力学 · 物理学 2022-02-04 Atanu Chatterjee , Takahiko Ban , Germano Iannacchione

We investigate general thermodynamic stability conditions for the superfluid. This analysis is performed in an extended space of thermodynamic variables containing (along with the usual thermodynamic coordinates such as pressure and…

统计力学 · 物理学 2009-11-10 A. F. Andreev , L. A. Melnikovsky

We show that small perturbations of the spatially homogeneous equilibrium of a thermally driven compressible viscous fluid are globally stable. Specifically, any weak solution of the evolutionary Navier--Stokes--Fourier system driven by…

偏微分方程分析 · 数学 2024-01-04 Eduard Feireisl , Yong Lu , Yongzhong Sun

We investigate the stability criterions for perfect fluid in $f(R)$ theories which is an important generalization of general relativity. Firstly, using Wald's general variation principle, we recast Seifert's work and obtain the dynamical…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Xiongjun Fang , Xiaokai He , Jiliang Jing

The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production,…

统计力学 · 物理学 2026-01-06 R. Somogyfoki , A. Famà , L. Restuccia , P. Ván

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

统计力学 · 物理学 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

We perform linear and nonlinear stability analysis for thermal convection in a fluid overlying a saturated porous medium. We use a coupled system, with the Navier-Stokes equations and Darcy's equation governing the free-flow and the porous…

流体动力学 · 物理学 2019-07-08 M. McCurdy , M. N. J. Moore , X. Wang

The stability of a dilute plasma to local convective and rotational disturbances is examined. A subthermal magnetic field and finite thermal conductivity along the field lines are included in the analysis. Stability criteria similar in form…

天体物理学 · 物理学 2009-11-06 Steven A. Balbus

Bifurcation properties, stability behavior, dynamics, and the heat transfer of convection structures in a horizontal fluid layer that is driven away from thermal equilibrium by imposing a vertical temperature difference are compared with…

斑图形成与孤子 · 物理学 2009-11-11 P. Matura , M. Luecke

According to maximum entropy principle, it has been proved that the gravitational field equations could be derived by the extrema of total entropy for perfect fluid, which implies that thermodynamic relations contain information of gravity.…

广义相对论与量子宇宙学 · 物理学 2018-01-17 Xiongjun Fang , Xiaokai He , Jiliang Jing

The work deals with the thermodynamical aspects of the cosmic substratum which is dissipative in nature. For homogeneous and isotropic model of the Universe this dissipative phenomenon is effective bulk viscous pressure in nature and is…

广义相对论与量子宇宙学 · 物理学 2018-06-04 Pritikana Bhandari , Sourav Haldar , Subenoy Chakraborty
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