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On the basis recent seven-loop perturbation expansion for nu^{-1} = 3/(2 - alpha) we perform a careful reinvestigation of the critical exponent alpha governing the power behavior |T_c-T|^{- alpha} of the specific heat of superfluid helium…

Condensed Matter · Physics 2009-10-31 Hagen Kleinert

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 use of a new method for summing divergent series makes it possible to significantly increase the accuracy of determining the critical exponents from the field theoretical renormalization group. The exponent value \nu=0.6700\pm 0.0006…

Statistical Mechanics · Physics 2009-11-13 A. A. Pogorelov , I. M. Suslov

Pseudo-$\epsilon$ expansions ($\tau$-series) for critical exponents of 3D XY model describing $\lambda$-transition in liquid helium are derived up to $\tau^6$ terms. Numerical estimates extracted from the $\tau$-series obtained using…

Statistical Mechanics · Physics 2016-03-01 A. I. Sokolov , M. A. Nikitina

Using strong-coupling quantum field theory we calculate highly accurate critical exponents nu, eta from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent alpha of the specific heat near the…

High Energy Physics - Theory · Physics 2009-10-31 Hagen Kleinert

We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class, which apply to the superfluid transition in He4 along the lambda-line of its phase diagram. We obtain the estimates…

Statistical Mechanics · Physics 2007-05-23 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The high-precision data for the specific heat C_{V}(T,V) of normal-liquid Helium-3 obtained by Greywall, taken together with the molar volume V(T_0,P) at one temperature T_0, are shown to contain the complete thermodynamic information about…

Other Condensed Matter · Physics 2009-10-31 M. Kollar , D. Vollhardt

We have observed the superfluid phase transition in a strongly interacting Fermi gas via high-precision measurements of the local compressibility, density and pressure down to near-zero entropy. Our data completely determine the universal…

Quantum Gases · Physics 2012-02-23 Mark J. H. Ku , Ariel T. Sommer , Lawrence W. Cheuk , Martin W. Zwierlein

We report new measurements in four cells of the thermal boundary resistance $R$ between copper and $^4$He below but near the superfluid-transition temperature $T_\lambda$. For $10^{-7} \leq t \equiv 1 - T/T_\lambda \leq 10^{-4}$ fits of $R…

A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating $T_{\lambda}$ to the mean…

Statistical Mechanics · Physics 2009-10-31 Sergey M. Apenko

The superfluid transition of liquid Helium shares an interesting phenomenon with the chiral limit of QCD: the specific heat is finite at the critical point, but has a cusp. From this follows an interesting mixture of universal and…

High Energy Physics - Lattice · Physics 2015-03-12 Sourendu Gupta , Rishi Sharma

We further analyze the recently proposed criterion, according to which a superfluid transition occurs whenever the r.m.s. displacement of a particle from its initial position in imaginary time reaches a certain fraction of the interparticle…

Statistical Mechanics · Physics 2009-10-31 S. M. Apenko

Guided by the analogy to the Bose-Einstein condensation of the ideal Bose gas (IBG) we propose a new model for the lambda transition of liquid helium. Deviating from the IBG our model uses phase ordered and localized single-particle…

Statistical Mechanics · Physics 2007-05-23 T. Fliessbach

We discuss the consequences of recent experimental results from CDF, SLC, LEP and elsewhere for the Standard Model and for new physics. A global fit to all indirect precision data yields $m_t = 175 \pm 11^{+17}_{-19}$~GeV,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens Erler , Paul Langacker

The specific heat of liquid helium was calculated theoretically in the Landau theory. The results deviate from experimental data in the temperature region of 1.3 - 2.1 K. Many theorists subsequently improved the results of the Landau theory…

Other Condensed Matter · Physics 2009-11-13 Shosuke Sasaki

We simulate high-pressure hydrogen in its liquid phase close to molecular dissociation using a machine-learned interatomic potential. The model is trained with density functional theory (DFT) forces and energies, with the…

Statistical Mechanics · Physics 2024-12-20 Mathieu Istas , Scott Jensen , Yubo Yang , Markus Holzmann , Carlo Pierleoni , David M. Ceperley

A recent experiment [K. H. Kim, et al., Science 370, 978 (2020)] showed that it may be possible to detect a liquid-liquid phase transition (LLPT) in supercooled water by subjecting high density amorphous ice (HDA) to ultrafast heating,…

Statistical Mechanics · Physics 2021-06-24 Nicolas Giovambattista , Peter H. Poole

The superfluid/normal-fluid interface of liquid 4He is investigated in gravity on earth where a small heat current Q flows vertically upward or downward. We present a local space- and time-dependent renormalization-group (RG) calculation…

Statistical Mechanics · Physics 2012-03-28 Rudolf Haussmann

We studied the phase diagram of Sr$_3$Ru$_2$O$_7$ by means of heat capacity and magnetocaloric effect measurements at temperatures as low as 0.06 K and fields up to 12 T. We confirm the presence of a new quantum critical point at 7.5 T…

Strongly Correlated Electrons · Physics 2018-03-20 Dan Sun , Andreas Rost , Robin Perry , Andrew Mackenzie , Manuel Brando

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
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