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We present a microscopic theory of superfluid $^4$He, formulated using the overall experimental observations as input information. With the theory of a consistent basis, we answer all of the essential questions regarding He II.

Superconductivity · Physics 2007-05-23 J. X. Zheng-Johansson , B. Johansson , P-I. Johansson

I present here a microscopic theory for the superfluidity of $^4$He (He II) derived from experiments, and answer its essential questions. With a "momenton" model, the superfluid is shown to feature as a "harmonic superfluid". In which a new…

Condensed Matter · Physics 2007-05-23 J. X. Zheng-Johansson

For nearly half a century the supersolid phase of matter has remained mysterious, not only eluding experimental observation, but also generating a great deal of controversy among theorists. Recent discovery of what is interpreted as a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nikolay Prokof'ev

Based on our current understanding of statistics of quantum turbulence as well as on results of intensive ongoing analytical, numerical and experimental studies we overview here the following problems in the large-scale, space-homogeneous,…

Other Condensed Matter · Physics 2016-11-23 V. S. L'vov , A. Pomyalov

Nearly a decade ago the old controversy about possible superfluid flow in the ground state of solid He4 was revived by the apparent experimental observation of such superflow. Although the experimentalists have recently retracted, very…

Statistical Mechanics · Physics 2013-08-09 Philip W Anderson

The first realization of instabilities in the shear flow between two superfluids is examined. The interface separating the A and B phases of superfluid He-3 is magnetically stabilized. With uniform rotation we create a state with…

This article is a survey concerning the state-of-the-art mathematical theory of the Euler equations of incompressible homogenous ideal fluid. Emphasis is put on the different types of emerging instability, and how they may be related to the…

Analysis of PDEs · Mathematics 2015-06-26 Claude Bardos , Edriss S. Titi

Evidence for a new type of superfluid phase in second-layer $^4$He on graphite has been obtained from simultaneous measurements of torsional-oscillator response and heat-capacity on exactly the same sample down to 30 mK, which resolve…

Other Condensed Matter · Physics 2026-01-12 Jun Usami , Hiroshi Fukuyama

In this paper we attempt to construct the topological theory of superfluid helium $4$ in the framework of the (rigid) $U(1)$ model in which the initial $U(1)$ group is destroyed with appearance of (topologically nontrivial) domains…

Superconductivity · Physics 2025-12-09 Leonid Lantsman

Recently, it has been argued by Kuklov et al., that unusual features associated with the superflow-through-solid effect observed in solid He4 can be explained by unique properties of dilute distribution of superfluid edge dislocations. We…

Other Condensed Matter · Physics 2023-11-27 Leo Radzihovsky , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

This is a mini-review of recent theoretical work in the field of relativistic heavy ion physics. The following topics are discussed: initial conditions and the Color Glass Condensate; approach to thermalization and the hydrodynamical…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Kharzeev

We revisited the phase diagram of the second layer of 4He on top of graphite using quantum Monte Carlo methods. Our aim was to explore the existence of the novel phases suggested recently in experimental works, and determine their…

Other Condensed Matter · Physics 2020-06-24 M. C. Gordillo , J. Boronat

In the light of recent difficulties in observing vortices in quenches of liquid $^{4}$He to its superfluid state we re-examine the Zurek scenario for their production. We find that the standard prediction is suspect because of a confusion…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Karra , R. J. Rivers

New models of Turbulence, Superfluidity and Superconductivity, based on new Hierarchic theory, general for liquids and solids (physics/0102086), have been proposed. CONTENTS: 1 Turbulence. General description; 2 Mesoscopic mechanism of…

General Physics · Physics 2015-06-26 Alex Kaivarainen

Understanding inhomogeneous and anisotropic fluid flows require mathematical and computational tools that are tailored to such flows and distinct from methods used to understand the canonical problem of homogeneous and isotropic turbulence.…

Fluid Dynamics · Physics 2023-01-05 J. B. Marston , S. M. Tobias

The article presents the state-of-the-art and reviews the literature on the long-standing problem of the possibility for a sample to be at the same time solid and superfluid. Theoretical models, numerical simulations, and experimental…

Statistical Mechanics · Physics 2020-03-31 V. I. Yukalov

A mathematical model describing motion of an inhomogeneous incompressible fluid in a Hele-Shaw cell is considered. Linear stability analysis of shear flow class is provided. The role of inertia, linear friction and impermeable boundaries in…

Fluid Dynamics · Physics 2015-01-28 Alexander Chesnokov , Irina Stepanova

Defects in the multi-dimensional macroscopic quantum field of the He-3 superfluids are localized objects with a topological charge and are topologically stable. They include point-like objects, vortex lines, planar domain-wall-like…

Condensed Matter · Physics 2007-05-23 V. B. Eltsov , M. Krusius

We will discuss various aspects of the incompressible Euler equation. We will discuss, in particular, problems related to the least action principle, the existence of special solutions, the problem of solvability, singularity formation, and…

Analysis of PDEs · Mathematics 2025-12-10 Tarek M. Elgindi

This is the manuscript version of the Physics ViewPoint article introducing the paper "Observation of half-quantum vortices in topological superfluid $^3$He", by S. Autti et al., which appeared in Physical Review Letters, December 14, 2016.

Superconductivity · Physics 2018-06-26 J. A. Sauls
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