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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…

Pattern Formation and Solitons · Physics 2009-11-07 Adrian Lange

We scrutinize the hydrodynamic approach for calculating dynamical correlations in one-dimensional superfluids near integrability and calculate the characteristic time scale {\tau} beyond which this approach is valid. For time scales shorter…

Quantum Gases · Physics 2014-05-07 M. Arzamasovs , F. Bovo , D. M. Gangardt

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

Statistical Mechanics · Physics 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess

It is well known that the hydrodynamics of a zero-temperature superfluid can be formulated in field-theoretic terms, relating for example the superfluid four-velocity to the gradient of the phase of a Bose-condensed scalar field. At nonzero…

High Energy Physics - Phenomenology · Physics 2012-12-19 Mark G. Alford , S. Kumar Mallavarapu , Andreas Schmitt , Stephan Stetina

We use the classical fields approximation to study a translational flow of the condensate with respect to the thermal cloud in a weakly interacting Bose gas. We study both, subcritical and supercritical relative velocity cases and analyze…

Atomic Physics · Physics 2013-05-29 Lukasz Zawitkowski , Mariusz Gajda , Kazimierz Rzazewski

We revisit the classical thermodynamic stability of the standard black hole solutions by implementing the intrinsic necessary and sufficient conditions for stable global and local thermodynamic equilibrium. The criteria for such equilibria…

General Relativity and Quantum Cosmology · Physics 2024-12-30 V. Avramov , H. Dimov , M. Radomirov , R. C. Rashkov , T. Vetsov

The classical one-phase Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase transition, such as ice melting to water. This is accomplished by solving the heat equation on a time-dependent domain…

Analysis of PDEs · Mathematics 2013-10-22 Mahir Hadžić , Steve Shkoller

We review some recent developments which make use of the concept of `superstatistics', an effective description for nonequilibrium systems with a varying intensive parameter such as the inverse temperature. We describe how the asymptotic…

Statistical Mechanics · Physics 2017-08-23 Christian Beck

We analyze thermodynamic bounds on equilibrium fluctuations of an order parameter, which are analogous to relations, which have been derived recently in the context of non-equilibrium fluctuations of currents. We discuss the case of {\it…

Statistical Mechanics · Physics 2016-12-14 J. Guioth , D. Lacoste

Beginning from a relatively simple set of dynamical equations for a fluid permeated by a radiative field strong enough to produce significant forces, we find the structure of plane-parallel equilibria and study their stability to small…

Astrophysics · Physics 2009-10-31 Edward A. Spiegel , Louis Tao

To describe the nonequilibrium states of the system, a new thermodynamic parameter - system lifetime - is introduced. Statistical distributions that describe the behavior of energy and lifetime are recorded. Entropy and obtained…

Statistical Mechanics · Physics 2019-10-14 V. V. Ryazanov

A complete thermodynamical analysis for a blood model, based on mixture theory, is performed. The model is developed considering the blood as a suspension of red blood cells (solid component) in the plasma (fluid component), and taking into…

Fluid Dynamics · Physics 2025-06-03 M. Gorgone , C. F. Munafo' , A. Palumbo , P. Rogolino

In this work we start from the assumption that normal solid to supersolid (NS-SS) phase transition is continuous, and develop a phenomenological Landau theory of the transition in which superfluidity is coupled to the elasticity of the…

Soft Condensed Matter · Physics 2013-05-29 Alan T. Dorsey , Paul M. Goldbart , John Toner

We develop a formulation of global thermodynamics for equilibrium systems under the influence of gravity. The free energy for simple fluids is extended to include a dependence on $(T, V, N, mgL)$, where $L$ represents the vertical system…

Statistical Mechanics · Physics 2025-06-26 Naoko Nakagawa , Shin-ichi Sasa , Takamichi Hirao , Tsuyoshi Shiina , Kyosuke Tachi , Akira Yoshida

We present experimental observations and numerical simulations of a wrinkling instability that occurs at sufficiently high strain rates in the trembling regime of vesicle dynamics in steady linear flow. Spectral and statistical analysis of…

Soft Condensed Matter · Physics 2014-07-11 Michael Levant , David Abreu , Udo Seifert , Victor Steinberg

The backbone of nonequilibrium thermodynamics is the stability structure, where entropy is related to a Lyapunov function of thermodynamic equilibrium. Stability is the background of natural selection: unstable systems are temporary, and…

Physics and Society · Physics 2024-10-01 Peter Ván

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small, finite systems. Although for nonequilibrium steady states…

Statistical Mechanics · Physics 2022-01-05 Sergio Davis

We present experimental results on hydrothermal waves in long and narrow 1D channels. In a bounded channel, we describe the primary and secondary instabilities leading to waves and modulated waves in terms of convective/absolute…

Pattern Formation and Solitons · Physics 2009-11-07 Nicolas Garnier , Arnaud Chiffaudel , Francois Daviaud
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