Kinetics of the sorption of <Superscript>3</Superscript>He by C<Subscript>60</Subscript> fullerite. The quantum diffusion of <Superscript>3</Superscript>He and <Superscript>4</Superscript>He in fullerite

The kinetics of the sorption and subsequent desorption of gaseous ³He in a C₆₀ fullerite powder has been studied in the temperature range of 2–292 K. The temperature dependences of the diffusion coefficients of ³He and ⁴He impurities in fullerite have been plotted using the measured characteristic times of filling of octahedral and tetrahedral interstices, as well as previous data. These temperature dependences of the diffusion coefficients of ³He and ⁴He impurities in fullerite are qualitatively similar. A decrease in the temperature from 292 to 79 K is accompanied by a decrease in the diffusion coefficients, which corresponds to the dominance of the thermally activated diffusion of helium isotopes in fullerite. A further decrease in the temperature to 8–10 K leads to an increase in the diffusion coefficients by more than an order of magnitude. The diffusion coefficients of ³He and ⁴He are independent of the temperature below 8 K, indicating the tunnel character of the diffusion of helium in C₆₀ fullerite. The isotope effect is manifested in the difference between the absolute values of the diffusion coefficients of ³He and ⁴He atoms at the same temperatures.     

Density increase of turbulently flowing He II

A density increase of He II up toΔρ/ρ=3·10^?4 due to turbulent flow caused by a heat current in a wide tube has been observed by pycnometric measurements and by measuring the dielectric constant of He II. The state of increased density appears to be metastable against mechanical disturbances.     

A flow phase diagram for helium superfluids

The existence of the flow phase diagram predicted by Volovik [JETP Lett. 78, 553 (2003)] is discussed based on the available experimental data for He II and ³He-B. The effective temperature-dependent but scale-independent Reynolds number Re_eff≡1/q≡(1?α′)/α, where α and α′ are the mutual friction parameters, and the superfluid Reynolds number characterizing the circulation of the superfluid component in units of the circulation quantum are used as the dynamic parameters. In particular, the flow diagram permits the identification of the experimentally observed turbulent states I and II in counterflowing He II with the classical and quantum turbulent regimes suggested by Volovik.     

Quantum diffusion in the solid heliums

We discuss the diffusion of³He impurities in solid⁴He resulting from the quantum exchange of particles on neighboring lattice sites. The formation of (³He)₂ molecules bound by the elastic deformation field around the isotopic impurities can occur at low concentrations, and we propose new experiments to show how these molecules may be observed explicitly.     

Directed transverse flow and its disappearance for asymmetric reactions

We study the directed transverse flow for mass asymmetry reactions. This is done by keeping the target fixed and varying the projectile mass from ⁴He to ¹³¹Xe. We find that directed transverse flow is sensitive to the mass of the projectile. We also study the disappearance of flow at a particular impact parameter called Geometry of Vanishing Flow (GVF) for such mass asymmetry reactions. Our results indicate that GVF is sensitive to the beam energy as well as to the mass of the projectile.     

Localized diffusion of helium atoms around indium impurities in aluminium observed by means of perturbed angular correlations

The behaviour of He atoms implanted in ¹¹¹In doped Al has been investigated by means of perturbed angular correlation (PAC) measurements. The onset of He mobility was found to be at about 250K, probably due to vacancy-assisted migration. Mobile helium is effectively trapped at In impurities in small vacancy clusters that accomodate at most 11 He atoms. The PAC spectra taken at temperatures from about 510 K to 670 K exhibit a relaxation effect that is ascribed to hopping of He atoms from one vacancy to another, the saddle-point energy for this localized diffusion being 0.67(5) eV. A tentative model of the cluster is given.     

Absence of low-temperature anomaly on the melting curve of <Superscript>4</Superscript>He

The melting pressure and pressure in the liquid at a constant density of ultrapure ⁴He (0.3 ppb of ³He impurities) have been measured with an accuracy of about 0.5 μbar in the temperature range from 10 to 320 mK. The measurements show that the anomaly on the melting curve below 80 mK, which was recently observed [I. A. Todoshchenko et al., Phys. Rev. Lett. 97, 165302 (2006)], is entirely due to an anomaly in the elastic modulus of Be-Cu from which our pressure gauge is made. Thus, the melting pressure of ⁴He follows the T ⁴ law due to phonons in the whole temperature range from 10 to 320 mK without any attribute of a supersolid transition. The text was submitted by the authors in English.     

The mobility of dilute solutions of impurities in He3 at low temperatures

The mobility of impurities in He³ is calculated using Kubo's formula and assuming a quasi-particle-like behaviour of the impurities. This is reasonable in the low temperature limit. If one has to deal with charged particles having a large cross-section for the scattering of He³ quasi-particles on account of their large effective radii, this limit is as low as presumably 0.01 °K. For uncharged particles the validity of the theory is not confined to such a small region of the temperature. The mobility behaves as 1/T ² and its dependence upon the frequency is almost that of a classical sphere experiencing a force of friction proportional to its velocity. The parameters occuring in the formula for the mobility (the effective mass and the scattering cross-section between He³ and the impurities) may in principle be determined by independent experiments.     

Heat conduction through narrow channels and phase separation of He II at zero gravity

We explain the heat flow properties of a system which works as a phase separator for superfluid helium at zero gravity. Differently from most previous work the flow of He II in a narrow slit between a helium bath and a vapour space (instead of a second He bath) is studied. Due to the Fountain effect most of the He II stays contained in the bath, and a small amount is evaporated to carry away the heat transported through the slit. The role of evaporation kinetics is discussed and its contribution, raising the heat flow resistance, is calculated. At higher heat flow there is a sharp transition to a different flow state, which we identify with the Gorter-Mellink regime where the supercomponent flows dissipatively and liquid enters into the vent line so that an additional heat exchanger is necessary for its evaporation. In this regime the mass and heat flow are still controlled by the applied pressure gradients or-important for practical use:-by varying the length of the slit.     

Hydrodynamic-flow-driven phase evolution in a polymer blend film modified by diblock copolymers

We have studied surface-directed phase separation in thin films of deuterated polystyrene and poly(bromostyrene) (with 22.7% of monomers brominated) using ³He nuclear reaction analysis, dynamic secondary ion mass spectroscopy and atomic force microscopy combined with preferential dissolution. The crossover from competing to neutral surfaces of the critical blend film (cast onto Au) was commenced: polyisoprene-polystyrene diblock copolymers were added and segregated to both surfaces reducing in a tuneable manner the effective interactions. Two main stages of phase evolution are characterised by i) the growth of two surface layers and by ii) the transition from the four-layer to the final bilayer morphology. For increasing copolymer content the kinetics of the first stage is hardly affected but the amplitude of composition oscillations is reduced indicating more fragmented inner layers. As a result, a faster mass flow to the surfaces and an earlier completion of the second stage were observed. The hydrodynamic flow mechanism, driving both stages, is evidenced by nearly linear growth of the surface layer and by mass flow channels extending from the surface layer into the bulk. The final bilayer structure, formed even for the surfaces covered by strongly overlapped copolymers, is indicative of long-range (antisymmetric) surface forces. Received 15 March 2000 and Received in final form 9 February 2001     

Stability of the collisional plasma flow in a magnetic field

A collisional plasma flow moving along a magnetic field at a velocity lower than the speed of sound is considered. It has been found that stationary small perturbations increase downstream in the flow. The mechanism of the increase is related to the fact that subsonic ideal-plasma flows respond to external perturbations primarily by a change in the pressure of the plasma. As a result, the pressure under perturbation of the velocity changes so that the stationary flow is decelerated and accelerated if the force is directed along and against the velocity, respectively. This phenomenon can be explained under the assumption that the effective mass of the plasma is negative. If the velocity of the flow is inhomogeneous in the transverse direction, the viscosity force plays a role of the external perturbing force. In this case, the effective transverse viscosity coefficient, which should be treated as negative, can be renormalized instead of the effective mass. The sign of the effective specific heat or the effective transverse thermal conductivity coefficient changes similarly if the velocity of the flow is lower than the speed of sound but is higher than the thermal velocity of ions calculated from the sum of the ion and electron temperatures. A downstream increase in the stationary perturbations is called in this work spatial instability. The downstream growth rate has been determined. The numerical analysis of the evolution of perturbations illustrates the development of the spatial instability of subsonic collisional plasma flows moving along the magnetic field.     

Mass flow and critical velocity of helium II in a liquid vapor separating system

A system consisting of a He II bath and an evaporation chamber connected by a narrow slit is studied. Different flow states of He II in the slit can be identified. An experimentally clear cut transition from laminar to Gorter Mellink flow behaviour is observed and explained, from which the critical velocity of the supercomponent is derived. The role of the liquid vapor interface and its actual position are discussed.Supported by the Bundesministerium für Forschung und Technologie under contract 01 TQ 029-ZA/RT-WRT 2079     

Measurement of Stark broadened profile of He(II) 4686A

Stark broadened profiles of the He(II) 4686A line were measured using a Z-pinch plasma as source. The electron density was determined from the halfwidth of the He(I) 3889 line and the temperature from the intensity ratio of the He(II) 4686 and the He(I) 3889 lines. The electron densities covered the range 0.5?2.3×10¹⁷ cm³ and the electron temperature was 4 eV. The plasma homogeneity was checked by varying the length of the column observed. The experimental profiles are in better agreement with the recent calculations of Greene than with the earlier calculations of Keeple.     

Particle Mass Loading Effect on a Two-Phase Turbulent Downward Jet Flow

The particle mass loading effect on the flow structure of a two-phase turbulent jet flow was studied. A particle mass loading ratio ranging from 0 to 3.6 was used as the control parameter. The polystyrene solid particles used had nominal diameters of 210 and 780 μm. The flow Reynolds number, which was based on the pipe nozzle diameter and the fluid-phase centerline mean velocity, was 2 × 10⁴ in the current test. A two-color laser Doppler anemometer (LDA), combined with the amplitude discrimination method and the velocity filter method, was employed to measure the mean velocity distributions for the particle and fluid phases, and the turbulent intensities and Reynolds stresses of the flow. The two-phase jet flow field was measured from the initial pipe exit to 90 D downstream. Another one-component He? Ne laser LDA system was also applied to obtain the energy spectra and temporal correlations of the two-phase jet flow.     

Effect of correlated disorder on the temperature of unconventional cooper pairing: 3He in aerogel

It has been shown by the example of ³He in aerogel that the correlation in the position of impurities may have a considerable effect on the transition temperature T _c of a Fermi fluid to an unconventional superfluid or superconducting state if the correlation radius of the system of impurities exceeds the correlation length ξ₀ of the emerging superfluid phase. A decrease in T _c of ³He in aerogel has been expressed in terms of the structure factor of aerogel. Taking into account the fractal structure of aerogel provides a simple formula that satisfactorily describes the observed decrease in T _c.     

Some average nuclear properties with an effective interaction

Nuclear matter properties — binding energy (BE), compressibility, single particle potential, re-arrangement energy and effective mass — have been studied in first order with a density dependent effective interaction. Second order contribution to BE, single particle potential, and effective mass have been estimated. Ground state energy of⁴He and⁸Be and their r.m.s. radii have also been studied.Financial assistance from University Grants Commission, New Delhi, is gratefully acknowledged.     

A SQUID susceptometer for fields up to 8.5 tesla

A SQUID susceptometer working in fields up to 8.5 T has been built. Calibration measurements show a mass susceptibility sensitivity of 6.3 10⁻¹³ m³·kg⁻¹ (for a one gram sample) and an excellent reproducibility. The temperature of the samples can be changed from 1.6 to 300 K by a regulated continuous He flow. System design, strategy for minimizing the sources of noise and measurement techniques are described. A test measurement showing the martensitic transition of V₃Si in 8.5 T is presented.