The thermodynamic properties of liquid 3He-4He mixtures between 0 and 20 atm in the limit of absolute zero temperature

Ouboter, R. de Bruyn; Yang, Chen Ning

doi:10.1016/0378-4363(87)90029-5

Cited by 107 publications

(40 citation statements)

References 20 publications

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“…The experimental values of the density, energy per particle and compressibility of respectively. The comparison with the results of Monte Carlo simulations [22] and with experimental data [23,24] shows that the present density functional theory describes correctly the ground state of the bulk liquid 4 He at all pressures. Comments about the equation of state in the limit of a quasi two-dimensional liquid will be given when discussing the structural properties of films.…”

Section: Ground State Calculationsmentioning

confidence: 56%

Structural and dynamical properties of superfluid helium: A density-functional approach

et al. 1995

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We present a density functional for liquid He, properly accounting for the static response function and the phonon-roton dispersion in the uniform liquid. The functional is used to study both structural and dynamical properties of superIIIuid helium in various geometries. The equilibrium properties of the free surface, droplets, and films at zero temperature are calculated. Our predictions agree closely with the results of ab initio Monte Carlo calculations, when available. The introduction of a phenomenological velocity-dependent interaction, which accounts for back6ow effects, is discussed. The spectrum of the elementary excitations of the free surface and films is studied.

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Section: Ground State Calculationsmentioning

confidence: 56%

Structural and dynamical properties of superfluid helium: A density-functional approach

et al. 1995

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“…where the Fermi correction u(k) is given in equation (8). When treated this way, the concentration dependence of the effective mass derived from the spectrum (13) is visibly steeper than the experimental one, as seen in figure 2.…”

Section: Microscopic Fermi Liquid Theorymentioning

confidence: 91%

“…Three calculations have been carried out to determine the Fermi liquid contributions to the effective mass of the 3 He component as a function of concentration and pressure. The first calculation applied the simple FHNC/EL theory and the static effective interaction (8). To account for the hydrodynamic backflow, one must supplement the Fermion contribution (6) by the hydrodynamic contribution ω H (k); then the spectrum has the form…”

Section: Microscopic Fermi Liquid Theorymentioning

confidence: 99%

“…Since the calculations were done for fixed densities at each concentration and the experiments were done for a fixed pressure, we have used the experimental pressure-density relation of [8] to make the conversion. Our calculations predict, at low concentration, a visible curvature of the effective mass as a function of concentration.…”

Section: Microscopic Fermi Liquid Theorymentioning

confidence: 99%

“…The correlation functions u αβ (r i , r j ) and u αβγ (r i , r j , r k ) are determined by the functional minimization of the ground state energy [7,4]. The theory reproduces the experimental equation of state of 3 He-4 He mixtures [8] typically within 0.01 K.…”

Section: Introductionmentioning

confidence: 99%

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FERMI LIQUID PROPERTIES OF ^{3}He-^{4}He MIXTURES

Schorkhuber¹,

Krotscheck²,

Paaso³

et al. 1999

Condens. Matter Phys.

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We calculate microscopically the properties of 3 He impurity atoms in 3 He-4 He mixtures, including the spectrum of a single particle and the FermiLiquid interaction between 3 He atoms. From these, we determine the pressure and concentration dependence of the effective mass and the magnetic susceptibility. The long wavelength limit of the single-particle spectrum defines the hydrodynamic effective mass. When k 1.7Å−1 the motion of the impurity is damped due to the decay into a roton and a low energy impurity mode. The calculations of the Fermi-Liquid interaction are based on correlated basis functions (CBF) perturbation theory; the relevant matrix elements are determined by the Fermi hypernetted-chain summation method. Our theoretical effective masses agree well with recent measurements [1,2] but our analysis suggests a new extrapolation to the zero-concentration limit. With that effective mass we also find a good agreement with the measured [3] Landau parameter F a 0 .

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A Quantum Monte Carlo Study of the Negative Pressure Regime in Quantum Liquids

Boronat

Casulleras

2002

Liquids Under Negative Pressure

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The thermodynamic properties of liquid 3He-4He mixtures between 0 and 20 atm in the limit of absolute zero temperature

Cited by 107 publications

References 20 publications

Structural and dynamical properties of superfluid helium: A density-functional approach

Structural and dynamical properties of superfluid helium: A density-functional approach

FERMI LIQUID PROPERTIES OF ^{3}He-^{4}He MIXTURES

A Quantum Monte Carlo Study of the Negative Pressure Regime in Quantum Liquids

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