X-ray determinations of the liquid-structure factor and pair-correlation function of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Wirth, Florian; Hallock, R. B.

doi:10.1103/physrevb.35.89

Cited by 42 publications

(37 citation statements)

References 29 publications

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“…The optimal binding does not occur precisely when the minimum in the He-He potential coincides with the diameter of the cylinder, but instead at ∼ 20% higher value of R. The difference arises from the zero-point energy of the system, which expands the nearest neighbor distance beyond r min . The same behavior occurs in 2d and 3d 4 He; the "nearest-neighbor" peak in the radial distribution function occurs at distance about 20% greater than r min [20].…”

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confidence: 56%

Enhanced cohesion of matter on a cylindrical surface

et al. 2003

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We evaluate the cohesive energies E b of four systems in which particles move on a cylindrical surface, at fixed distance R from the axis. We find quite nonuniversal dependences of E b on R. For the Coulomb binding problem, E b is a monotonically decreasing function of R. For three problems involving Lennard-Jones interactions, the behavior is nonmonotonic; E b is larger at R = ∞ than at R=0; the maximum binding corresponds to R ∼ 0.7 σ (the hard core parameter). Consequences of the enhanced binding are discussed.

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confidence: 56%

Enhanced cohesion of matter on a cylindrical surface

et al. 2003

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“…The X-ray data of Wirth and Hallock [14] show that S(q) increases by around 5% when the temperature increases up to T λ ; below 1.3 K, S(q) can be taken as constant, within the experimental uncertainties. The temperature variation of Z(q), extracted from the neutron data, depends on the method used for the decomposition between the one and multi-phonon components.…”

Section: S(q ω) = Z(q) δ ω − ω(Q) + S M (Q ω)mentioning

confidence: 99%

“…Among the early X-ray data, the first accurate work in the peak region is from Achter and Meyer [12]. We have also used the more re- cent data of [14]. On the other hand, we have discarded earlier data from the same group [16,17] because an error in the calibration was pointed out [14]; yet we have included the corrected values from their earlier data set [16,17] as given by this group [13].…”

Section: S(q ω) = Z(q) δ ω − ω(Q) + S M (Q ω)mentioning

confidence: 99%

“…We have also used the more re- cent data of [14]. On the other hand, we have discarded earlier data from the same group [16,17] because an error in the calibration was pointed out [14]; yet we have included the corrected values from their earlier data set [16,17] as given by this group [13]. This calibration error has been overlooked in a review about liquid helium properties at svp [18], where only [9] and [16] were considered, leading to a discrepancy in the region of the peak, and to the arbitrary choice of a spline near the average of the two sets of data as the recommended value for S(q).…”

Section: S(q ω) = Z(q) δ ω − ω(Q) + S M (Q ω)mentioning

confidence: 99%

“…We have selected here those which give information about S(q), Z(q), and/or χ(q) and their pressure dependence, including neutron [1,[7][8][9][10][11] and X-ray [12][13][14] scattering data. Table 1 summarizes the experimental conditions; when absolute units are used, the corresponding calibration method is described.…”

Section: S(q ω) = Z(q) δ ω − ω(Q) + S M (Q ω)mentioning

confidence: 99%

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Static Structure Factor and Static Response Function of Superfluid Helium 4: a Comparative Analysis

Caupin¹,

Boronat

Andersen

2008

J Low Temp Phys

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Extensive neutron scattering data on liquid helium 4 are available, and have been analyzed to give a number of physical quantities, e.g. static structure factor S(q), excitation energy, and roton linewidth. X-rays also give access to S(q). However, a comprehensive comparison between experimental data and theoretical results, including their dependence on pressure, is still lacking. The static response function χ(q) has been particularly overlooked, despite its fundamental role in theories of inhomogeneous helium. We present here a critical review about the strength of the main peaks of S(q) and χ(q). We include in the comparison the analysis of unpublished neutron data and new Monte-Carlo calculations of χ(q). We find a significant discrepancy between experiments, and suggest corrections which account for some of the differences. We give recommendations for the best values to use for S(q) and χ(q).

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Bose-Einstein condensation and gauge symmetry breaking

Yukalov

2007

Laser Phys. Lett.

134

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The fundamental problem is analized, the relation between Bose-Einstein condensation and spontaneous gauge symmetry breaking. This relation is largerly misunderstood in physics community. Numerous articles and books contain the statement that, though gauge symmetry breaking helps for describing Bose-Einstein condensation, but the latter, in principle, does not require any symmetry breaking. This, however, is not correct. The analysis is based on the known mathematical theorems. But in order not to overcomplicate the presentation and to make it accessible to all readers, technical details are often omitted here. The emphasis is made on the following basic general facts: Spontaneous breaking of gauge symmetry is the necessary and sufficient condition for Bose-Einstein condensation. Condensate fluctuations, in thermodynamic limit, are negligible. Their catastrophic behavior can arise only as a result of incorrect calculations, when a Bose-condensed system is described without gauge symmetry breaking. It is crucially important to employ the representative statistical ensembles equipped with all conditions that are necessary for a unique and mathematically correct description of the given statistical system. Only then one is able to develop a self-consistent theory, free of paradoxes.Comment: Latex file, 29 page

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X-ray determinations of the liquid-structure factor and pair-correlation function ofHe4

Cited by 42 publications

References 29 publications

Enhanced cohesion of matter on a cylindrical surface

Enhanced cohesion of matter on a cylindrical surface

Static Structure Factor and Static Response Function of Superfluid Helium 4: a Comparative Analysis

Bose-Einstein condensation and gauge symmetry breaking

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