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Systems of hydrodynamic type equations derived from the Navier-Stokes equations and the boundary layer equations are considered. A transformation of the Crocco type reducing the equation order for the longitudinal velocity component is…

Fluid Dynamics · Physics 2009-10-08 A. D. Polyanin , S. N. Aristov

The present paper reports our attempt to search for a new universal framework in nonequilibrium physics. We propose a thermodynamic formalism that is expected to apply to a large class of nonequilibrium steady states including a heat…

Statistical Mechanics · Physics 2007-05-23 Shin-ichi Sasa , Hal Tasaki

We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components. In…

Mathematical Physics · Physics 2013-09-05 A. C. Gutiérrez-Piñeres , C. S. López-Monsalvo , F. Nettel

In this paper, based on the basic principles of thermodynamics, we explore the hydrodynamic regime of interacting Lifshitz field theories in the presence of broken rotational invariance. We compute the entropy current and discover new…

High Energy Physics - Theory · Physics 2019-06-05 Dibakar Roychowdhury

We describe the consequences of time reversal invariance of the Stokes' equations for the hydrodynamic scattering of two low Reynolds number swimmers. For swimmers that are related to each other by a time reversal transformation this leads…

Soft Condensed Matter · Physics 2009-11-13 G. P. Alexander , C. M. Pooley , J. M. Yeomans

The hydrodynamic vortex, an effective spacetime geometry for propagating sound waves, is studied analytically. In contrast with the familiar Kerr black-hole spacetime, the hydrodynamic vortex model is described by an effective acoustic…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

We use molecular dynamics simulations to probe the rotational dynamics of the SPC/E model of water for a range of temperatures down to 200 K, 13 K above to the mode coupling temperature. We find that rotational dynamics is spatially…

Soft Condensed Matter · Physics 2015-06-25 Marco G. Mazza , Nicolas Giovambattista , Francis W. Starr , H. Eugene Stanley

Dynamics of a coarse-grained model for the room-temperature ionic liquid, 1-ethyl-3-methylimidazolium hexafluorophosphate, couched in the united-atom site representation are studied via molecular dynamics simulations. The dynamically…

Soft Condensed Matter · Physics 2017-03-15 Daun Jeong , M. Y. Choi , Hyung. J. Kim , YounJoon Jung

The distinction between the damping coefficient and the effective non-linear mobility of driven particles in active micro-rheology of supercooled liquids is explained in terms of individual and collective dynamics. The effective mobility…

Soft Condensed Matter · Physics 2016-11-03 I. Santamaría-Holek , A. Pérez-Madrid

In this paper we extend previous hydrodynamic equations, governing the motion of Bose-Einstein-condensed fluids, to include temperature effects. This allows us to analyze some differences between a normal fluid and a Bose-Einstein-condensed…

Statistical Mechanics · Physics 2013-06-10 G. C. Marques , V. S. Bagnato , S. R. Muniz , D. Spehler

Here we propose a kinetic framework for interpreting the Stokes-Einstein (SE) relation breakdown in supercooled liquids by introducing an effective collision diameter, $d_{\mathrm{eff}}$, derived from transport data. Numerical simulation of…

Soft Condensed Matter · Physics 2026-01-21 Zhen-Wei Wu

In the thermodynamic limit the ratio of system size to thermal de Broglie wavelength tends to infinity and the volume per particle of the system is constant. Our familiar Bose-Einstein statistics is absolutely valid in the thermodynamic…

Statistical Mechanics · Physics 2009-11-19 Shyamal Biswas

Granular flows in a narrow pipe are studied numerically by the model taking account of hydrodynamic effects of fluid surrounding particles. In the simulations density waves are observed over the wide range of the Stokes number, which…

adap-org · Physics 2012-08-29 Kengo Ichiki

Phase change materials are exploited in non-volatile electronic memories and photonic devices that rely on a fast and reversible transformation between the amorphous and crystalline phase upon heating. The recrystallization of the amorphous…

Disordered Systems and Neural Networks · Physics 2025-10-24 Simone Marcorini , Rocco Pomodoro , Omar Abou El Kheir , Marco Bernasconi

Relativistic Navier-Stokes equations express the conservation of the energy-momentum tensor and the particle number current in terms of the local hydrodynamic variables: temperature, fluid velocity, and the chemical potential. We show that…

High Energy Physics - Theory · Physics 2020-06-12 Raphael E. Hoult , Pavel Kovtun

We consider the inverse problem of the detection of a single body, immersed in a bounded container filled with a fluid which obeys the Stokes equations, from a single measurement of force and velocity on a portion of the boundary. We obtain…

Analysis of PDEs · Mathematics 2015-05-18 Andrea Ballerini

Frequently encountered in nature, internal solitary waves in stratified fluids are well-observed and well-studied from the experimental, the theoretical, and the numerical perspective. From the mathematical point of view, these waves are…

Analysis of PDEs · Mathematics 2014-11-03 Andreas Klaiber

The hyperspherical adiabatic method is used to derive stability criteria for Bose-Einstein condensates in deformed external fields. An analytical approximation is obtained. For constant volume the highest stability is found for spherical…

Soft Condensed Matter · Physics 2009-11-10 O. Sørensen , D. V. Fedorov , A. S. Jensen

For configurational changes of soft matter systems affected or caused by external hydrodynamic flow, we identify applied work, exchanged heat, and entropy change on the level of a single trajectory. These expressions guarantee invariance of…

Soft Condensed Matter · Physics 2009-01-15 Thomas Speck , Jakob Mehl , Udo Seifert

Numerous experimental and theoretical results in liquids and plasmas suggest the presence of a critical momentum at which the shear diffusion mode collides with a non-hydrodynamic relaxation mode, giving rise to propagating shear waves.…

High Energy Physics - Theory · Physics 2021-04-07 Matteo Baggioli