Emergence and Evolution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>Gap in Spectra of Liquid and Supercritical States

Yang, Chunlei; Dove, Martin T.; Бражкин, В. В.; Trachenko, Kostya

doi:10.1103/physrevlett.118.215502

Cited by 115 publications

(139 citation statements)

References 26 publications

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“…70,71 Locating k * for various simple fluids in different parameter regimes and investigating k-gap consequences on the liquid state properties is an active area of research. [72][73][74][75][76] For our present purpose it is important that the inclination of the dispersion curve ∂ω t /∂k near the onset of the transverse mode at k > k * can be well approximated by c t . Thus, the latter is a meaningful quantity both in solid and strongly coupled fluid states.…”

Section: Sound Velocities In Different Spatial Dimensionsmentioning

confidence: 99%

Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality

Khrapak

2019

Physics of Plasmas

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Sound velocities in classical single-component fluids with Yukawa (screened Coulomb) interactions are systematically evaluated and analyzed in one-, two-, and three spatial dimensions (D = 1, 2, 3). In the strongly coupled regime the convenient sound velocity scale is given by Q 2 /∆m, where Q is the particle charge, m is the particle mass, n is the particle density, and ∆ = n −1/D is the unified interparticle distance. The sound velocity can be expressed as a product of this scaling factor and a dimension-dependent function of the screening parameter, κ = ∆/λ, where λ is the screening length. A unified approach is used to derive explicit expressions for these dimension-dependent functions in the weakly screened regime (κ 3). It is also demonstrated that for stronger screening (κ 3), the effect of spatial dimensionality virtually disappears, the longitudinal sound velocities approach a common asymptote, and a one-dimensional nearest-neighbor approximation provides a relatively good estimate for this asymptote. This result is not specific to the Yukawa potential, but equally applies to other classical systems with steep repulsive interactions. An emerging relation to a popular simple freezing indicator is briefly discussed. Overall, the results can be useful when Yukawa interactions are relevant, in particular, in the context of complex (dusty) plasmas and colloidal suspensions.

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Section: Sound Velocities In Different Spatial Dimensionsmentioning

confidence: 99%

Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality

Khrapak

2019

Physics of Plasmas

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“…This phenomenon, referred to as the q-gap in the transverse mode, is a well known property of the fluid state. [27][28][29][30] It applies to conventional neutral fluids, but also to the charged plasma-related systems at strong coupling. Not surprisingly, it received considerable attention in the context of complex (dusty) plasmas within the YOCP concept.…”

Section: Introductionmentioning

confidence: 99%

Onset of transverse (shear) waves in strongly-coupled Yukawa fluids

Khrapak

Kryuchkov

et al. 2019

The Journal of Chemical Physics

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A simple practical approach to describe transverse (shear) waves in strongly-coupled Yukawa fluids is presented. Theoretical dispersion curves, based on hydrodynamic consideration, are shown to compare favorably with existing numerical results for plasma-related systems in the long-wavelength regime. The existence of a minimum wave number below which shear waves cannot propagate and its magnitude are properly accounted in the approach. The relevance of the approach beyond plasma-related Yukawa fluids is demonstrated by using experimental data on transverse excitations in liquid metals Fe, Cu, and Zn, obtained from inelastic x-ray scattering. Some potentially important relations, scalings, and quasi-universalities are discussed. The results should be interesting for a broad community in chemical physics, materials physics, physics of fluids and glassy state, complex (dusty) plasmas, and soft matter.

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“…beyond the so-called Frenkel frequency, support propagating shear waves[13]. Simultaneously, it is suggested by recent experiments[14,15] and theoretical developments[16][17][18] that the same might happen at large momentum, beyond the usually called k-gap.…”

mentioning

confidence: 96%

Longitudinal sound and diffusion in holographic massive gravity

Ammon

Baggioli

Gray

et al. 2019

J. High Energ. Phys.

101

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We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density. We identify three hydrodynamic modes in this sector: a pair of sound modes and one diffusion mode. We numerically compute the dispersion relations of the hydrodynamic modes. The obtained speed and the attenuation of the sound modes are in agreement with the hydrodynamic predictions. On the contrary, we surprisingly find disagreement in the case of the diffusive mode; its diffusion constant extracted from the quasi-normal mode data does not agree with the expectations from hydrodynamics. We confirm our numerical results using analytic tools in the decoupling limit and we comment on some possible reasons behind the disagreement. Finally, we extend the analysis of the collective longitudinal modes beyond the hydrodynamic limit by displaying the dynamics of the higher quasi-normal modes at large frequencies and momenta.

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Emergence and Evolution of thekGap in Spectra of Liquid and Supercritical States

Cited by 115 publications

References 26 publications

Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality

Unified description of sound velocities in strongly coupled Yukawa systems of different spatial dimensionality

Onset of transverse (shear) waves in strongly-coupled Yukawa fluids

Longitudinal sound and diffusion in holographic massive gravity

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