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Many-body states described by a Schr\"{o}dinger equation include states of overlapping waves of non-vanishing interaction energies. These peculiar states formed in many-body transitions remain in asymptotic regions, and lead a new component…

High Energy Physics - Phenomenology · Physics 2020-06-24 Kenzo Ishikawa , Yutaka Tobita

We reconsider the thermodynamic derivation by L. Boltzmann of the Stefan law and we generalize it for various different physical systems {\it whose chemical potential vanishes}. Being only based on classical arguments, therefore independent…

Quantum Gases · Physics 2018-04-09 Gilles Montambaux

This paper represents the full version of a paper published earlier in Physica A [246 (1997), 275]. The present paper includes argumentation, proofs and details omitted in the shortened version. The papers are a further development of the…

Statistical Mechanics · Physics 2009-02-25 V. A. Golovko

We present a new method for imposing a realistic equation of state in anisotropic hydrodynamics. The method relies on the introduction of a single finite-temperature quasiparticle mass which is fit to lattice data. By taking moments of the…

High Energy Physics - Phenomenology · Physics 2015-11-30 Mubarak Alqahtani , Mohammad Nopoush , Michael Strickland

The classical Stefan problem, concerning mere heat-transfer during solid-liquid phase transition, is here enhanced towards mechanical effects. The Eulerian description at large displacements is used with convective and Zaremba-Jaumann…

Analysis of PDEs · Mathematics 2023-07-26 Tomáš Roubíček

A novel formulation of second-order relativistic viscous fluid dynamics based on the effective Boltzmann equation for quasi-particles with medium-dependent masses is briefly reviewed.~The evolution equations for the shear and bulk…

Nuclear Theory · Physics 2017-08-07 Radoslaw Ryblewski

A semiclassical Quantum Hydrodynamic model has been derived by taking the moments of the Wigner-Boltzmann equation. For the first time, the closure has been achieved by the use of the momentum shifted version of all order quantum corrected…

Statistical Mechanics · Physics 2015-02-04 Anirban Bose , Mylavarapu S. Janaki

Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the…

Quantum Gases · Physics 2019-02-20 M. Faccioli , L. Salasnich

The quasiparticle excitations and dynamical stability of an atomic Bose-Einstein condensate coupled to a quantum degenerate Fermi gas of atoms at zero temperature is studied. The Fermi gas is assumed to be either in the normal state or to…

Soft Condensed Matter · Physics 2009-11-07 C. P. Search , H. Pu , W. Zhang , P. Meystre

In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Eric Braaten

Quantum Phase Transition (QPT) is a phase transition between different quantum states by adjusting some control parameters. Based on the Principle of Hamilton Dynamics (PHD) and the Principle of Lagrangian Dynamics (PLD), a general QPT…

Analysis of PDEs · Mathematics 2016-12-09 Tian Ma , Da-peng Li , Ruikuan Liu , Jiayan Yang

The modern theory of Bose-Einstein condensation, superfluidity, and superconductivity is reviewed. The thermodynamic principle for superfluid flow and the equation of motion for condensed bosons are given. Computer simulations of…

Statistical Mechanics · Physics 2025-11-13 Phil Attard

A simple one-dimensional model for SNS weak links in the ballistic limit is presented. In the presence of a bias voltage, the quasiparticle state at any given instant of time is described as a superposition of that particular set of…

Superconductivity · Physics 2009-10-31 Herbert Kroemer

Here we comment on the thermodynamic inconsistency problem and the reformulation of statistical mechanics of widely studied quasiparticle models of quark-gluon plasma. Their starting relation, the expression for pressure itself is a wrong…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vishnu M. Bannur

We discuss the generic phase diagrams of pure systems that remain fluid near zero temperature. We call this phase a quantum fluid. We argue that the signature of the transition is the change of sign of the chemical potential, being negative…

Quantum Gases · Physics 2011-09-09 Victor Romero-Rochin

In this paper we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter,…

Mathematical Physics · Physics 2015-06-12 Alessia Berti , Valeria Berti

We recast superfluid hydrodynamics as the hydrodynamic theory of a system with an emergent anomalous higher-form symmetry. The higher-form charge counts the winding planes of the superfluid -- its constitutive relation replaces the…

High Energy Physics - Theory · Physics 2020-04-01 Luca V. Delacrétaz , Diego M. Hofman , Grégoire Mathys

We discuss peculiar aspects of the first law of thermodynamics for systems characterized by the presence of meta-equilibrium quasi-stationary states for which the pertinent phase/configuration spaces is generally inhomogeneous. As a…

Statistical Mechanics · Physics 2007-05-23 S. Martinez , A. Plastino

Integrating seminal ideas of London, Feynman, and Feenberg, this paper continues the development of an ab initio theory of the lambda transition in liquid 4He. The theory is based on variational determination of a trial density matrix…

Condensed Matter · Physics 2007-05-23 T. Lindenau , M. L. Ristig , J. W. Clark , K. A. Gernoth

Phase transitions can modify quantum behaviour on mesoscopic scales and give access to new and unusual quantum dynamics. Here we investigate the superfluid properties of a rotating two-component Bose--Einstein condensate as a function of…

Quantum Gases · Physics 2016-03-09 Angela White , Tara Hennessy , Thomas Busch
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