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New, superfluid specific additive integral of motion is found. This facilitates investigation of general thermodynamic equilibrium conditions for superfluid. The analysis is performed in an extended space of thermodynamic variables…

Soft Condensed Matter · Physics 2009-11-10 A. F. Andreev , L. A. Melnikovsky

Traditionally, the subject of hydromagnetic equilibrium in neutron stars has been addressed in the context of standard magnetohydrodynamics, with matter obeying a barotropic equation of state. In this paper we take a step towards a more…

Solar and Stellar Astrophysics · Physics 2015-05-28 Kostas Glampedakis , Nils Andersson , Samuel K. Lander

We develop a formalism to model slowly rotating superfluid Newtonian neutron stars. A two-fluid model is used to describe the matter, where one fluid is the superfluid neutrons that are believed to exist in the inner crust and core of…

Astrophysics · Physics 2009-11-06 R. Prix , G. L. Comer , N. Andersson

Stability and causality are studied for linear perturbations about equilibrium in Carter's multifluid theory. Our stability analysis is grounded on the requirement that the entropy of the multifluid, plus that of the environment, must be…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Lorenzo Gavassino

Motivated by a long-standing debate concerning the nature and interrelations of surface-tension variables in fluid membranes, we reformulate the thermodynamics of a membrane vesicle as a generic two-dimensional finite system enclosing a…

Soft Condensed Matter · Physics 2012-02-03 Haim Diamant

The superfluid drag effect, in hydrodynamics of pulsating neutron stars, is conventionally described with the aid of the entrainment matrix relating the mass currents with the velocities of superfluid flows in the system. Equations for the…

High Energy Astrophysical Phenomena · Physics 2017-07-17 Lev B. Leinson

We present a Newtonian multi-fluid formalism for superfluid neutron star cores, focussing on the additional dissipative terms that arise when one takes into account the individual dynamical degrees of freedom associated with the coupled…

Solar and Stellar Astrophysics · Physics 2015-06-04 B. Haskell , N. Andersson , G. L. Comer

In this paper we present a self-contained macroscopic description of diffusive systems interacting with boundary reservoirs and under the action of external fields. The approach is based on simple postulates which are suggested by a wide…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

A one-dimensional multi-phase flow model for thermomagnetically pumped ferrofluid with heat transfer is proposed. The thermodynamic model is a combination of a simplified particle model and thermodynamic equations of state for the base…

Computational Physics · Physics 2016-06-01 Eskil Aursand , Magnus Aa. Gjennestad , Karl Yngve Lervåg , Halvor Lund

From flow without dissipation of energy to the formation of vortices when placed within a rotating container, the superfluid state of matter has proven to be a very interesting physical phenomenon. Here we present the key mechanisms behind…

Quantum Gases · Physics 2020-12-09 Annette Lopez , Patrick Kelly , Kaelyn Dauer , Ettore Vitali

We examine the dependence of a thermodynamic potential of a fluid on the geometry of its container. If motion invariance, continuity, and additivity of the potential are fulfilled, only four morphometric measures are needed to describe…

Soft Condensed Matter · Physics 2016-08-31 P. -M. König , R. Roth , K. R. Mecke

Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with…

Nuclear Theory · Physics 2019-09-27 Armen Sedrakian , John W. Clark

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

The purpose of these notes is to give a brief review of superfluidity in neutron stars. After a short presentation explaining why and how superfluidity is expected in the crust and core of neutron stars, consequences on thermal evolution…

Astrophysics · Physics 2007-05-23 David Langlois

Mature neutron stars are cold enough to contain a number of superfluid and superconducting components. These systems are distinguished by the presence of additional dynamical degrees of freedom associated with superfluidity. In order to…

Solar and Stellar Astrophysics · Physics 2015-05-18 K. Glampedakis , N. Andersson , L. Samuelsson

We develop the formalism for determining the quasinormal modes of general relativistic multi-fluid compact stars in such a way that the impact of superfluid gap data can be assessed. Our results represent the first attempt to study true…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lap-Ming Lin , N. Andersson , G. L. Comer

A general thermodynamic argument shows that multi-component matter in full chemical equilibrium, with uniform entropy per baryon, is generally stably stratified. This is particularly relevant for neutron stars, in which the effects of…

Astrophysics · Physics 2009-10-31 Andreas Reisenegger

In this tutorial, I discuss how to model a neutron star from the Quantum Hadrodynamics microscopic approach. After a brief discussion about hydrostatic equilibrium, I discuss the role of each meson of the model and how to calculate the…

Nuclear Theory · Physics 2025-08-26 Luiz L. Lopes

We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the…

Nuclear Theory · Physics 2024-01-09 Lorenzo Gavassino