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We proceed from the premise that the spectrum of elementary excitations in the normal component in Landau's theory of superfluidity should depend on the superfluid helium temperature. This leads to generalization of the Landau superfluidity…

Statistical Mechanics · Physics 2012-06-08 V. B. Bobrov , S. A. Trigger

We report the details and revised analysis of an experiment to measure the specific heat of helium with subnanokelvin temperature resolution near the lambda point. The measurements were made at the vapor pressure spanning the region from 22…

Statistical Mechanics · Physics 2009-11-10 J. A. Lipa , J. A. Nissen , D. A. Stricker , D. R. Swanson , T. C. P. Chui

The calculation of the He4 energy and specific heat is carried out in a wide temperature range within the two-time temperature Green functions approach. The approximation improving the random phase approximation is developed providing the…

Statistical Mechanics · Physics 2024-01-04 A. A. Rovenchak

The dispersion relation $\epsilon(k)$ of the elementary excitations of superfluid $^4$He has been measured at very low temperatures, from saturated vapor pressure up to solidification, using a high flux time-of-flight neutron scattering…

Other Condensed Matter · Physics 2021-04-07 H. Godfrin , K. Beauvois , A. Sultan , E. Krotscheck , J. Dawidowski , B. Fak , J. Ollivier

The specific heat capacity of a two-dimensional electron gas is derived for two types of the density of states, namely, the Dirac delta function spectrum and that based on a Gaussian function. For the first time, a closed form expression of…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Cristine Villagonzalo , Rayda Gammag

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 B. A. Schmidt , K. Bennaceur , S. Gaucher , G. Gervais , L. N. Pfeiffer , K. W. West

We calculate the specific heat of composite fermion system in the half-filled Landau level. Two different methods are used to examine validity of the quasiparticle approximation when the two-body interaction is given by $V(q) = V_0 /…

Condensed Matter · Physics 2009-10-28 Yong Baek Kim , Patrick A. Lee

In this paper, with the corresponding formula for internal energy obtained in Ref. [J. Phys. Stud. {\bf 11}, 259 (2007)], combined with a simple calculation of the effective mass of interacting Bose particles, the behavior of the heat…

Quantum Gases · Physics 2011-10-19 I. O. Vakarchuk , V. S. Pastukhov , R. O. Prytula

We have derived the expression for the specific heat by using Ginzburg-Landau (GL) theory by taking $\mid \psi \mid^{4}$ into account in the Hartree approximation. Without this term, the specific heat diverges at $T=T_{c}(B)$. It is also…

Condensed Matter · Physics 2015-06-25 Bikash. Ch. Gupta , K. K. Nanda

The specific heat of ultra-thin free-standing membranes is calculated using the elastic continuum model. We first obtain the dispersion relations of the discrete set of acoustic modes in the system. The specific heat is then calculated by…

Materials Science · Physics 2015-06-12 E. Chávez , J. Cuffe , F. Alzina , C. M. Sotomayor Torres

Hot dense helium is studied with first-principles computer simulations. By combining path integral Monte Carlo and density functional molecular dynamics, a large temperature and density interval ranging from 1000 to 1000000 K and 0.4 to 5.4…

Materials Science · Physics 2015-05-13 Burkhard Militzer

The specific heat of superfluid $^{3}$He, disordered by a silica aerogel, is found to have a sharp discontinuity marking the thermodynamic transition to superfluidity at a temperature reduced from that of bulk $^{3}$He. The magnitude of the…

Superconductivity · Physics 2007-05-23 H. Choi , K. Yawata , T. M. Haard , J. P. Davis , G. Gervais , N. Mulders , P. Sharma , J. A. Sauls , W. P. Halperin

We discuss the dependence of the phase diagram of a hypothetical isotope of helium with nuclear mass less than 4 atomic mass units. We argue that with decreasing nucleus mass, the temperature of the superfluid phase transition (about 2.2 K…

Quantum Gases · Physics 2021-01-18 Dam Thanh Son , Mikhail Stephanov , Ho-Ung Yee

A general identification of the {\em positional specific heat} as the thermodynamic response function associated with the {\em static relaxation length} is proposed, and a phenomenological description for the thermal dependence of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Davatolhagh

The properties of liquid helium have always been a fascinating subject to scientists. The phonon theory of liquids taking into account liquid non-static shear rigidity is employed here for studying internal energy and heat capacity of…

Statistical Mechanics · Physics 2013-03-15 Dima Bolmatov , V. V. Brazhkin , K. Trachenko

A theory for the nonlinear energy response of a system subjected to a heat bath is developed when the temperature of the heat bath is modulated sinusoidally. The theory is applied to a model glass forming system, where the landscape is…

Statistical Mechanics · Physics 2009-11-13 Fumitaka Tagawa , Takashi Odagaki

Phase transitions, as the condensation of a gas to a liquid, are often revealed by a discontinuous behavior of thermodynamic quantities. For liquid Helium, for example, a divergence of the specific heat signals the transition from the…

Quantum Gases · Physics 2016-05-02 Tobias Damm , Julian Schmitt , Qi Liang , David Dung , Frank Vewinger , Martin Weitz , Jan Klaers

We calculate the energy and heat capacity of a liquid on the basis of its elastic properties and vibrational states. The experimental decrease of liquid heat capacity with temperature is attributed to the increasing loss of two transverse…

Soft Condensed Matter · Physics 2009-11-13 Kostya Trachenko

The thermo-mechanical effect in superfluid helium is used to create an initial chemical potential difference, $\Delta \mu_0$, across a solid $^4$He sample. This $\Delta \mu_0$ causes a flow of helium atoms from one reservoir filled with…

Other Condensed Matter · Physics 2015-06-22 Ye. Vekhov , R. B. Hallock

Liquid helium under negative pressures represents a unique possibility for studying nucleation and growth dynamics of cavities at low temperatures down to absolute zero. We analyze the growth dynamics of cavities and determine the…

Other Condensed Matter · Physics 2021-09-24 S. N. Burmistrov , L. B. Dubovskii
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