English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Sound velocities in classical single-component fluids with Yukawa (screenedCoulomb) interactions are systematically evaluated and analyzed in one-, two-,and three spatial dimensions (${\mathcal D}=1,2,3$). In the strongly coupledregime the convenient sound velocity scale is given by $\sqrt{Q^2/\Delta m}$,where $Q$ is the particle charge, $m$ is the particle mass, $n$ is the particledensity, and $\Delta=n^{-1/{\mathcal D}}$ is the unified interparticledistance. The sound velocity can be expressed as a product of this scalingfactor and a dimension-dependent function of the screening parameter,$\kappa=\Delta/\lambda$, where $\lambda$ is the screening length. A unifiedapproach is used to derive explicit expressions for these dimension-dependentfunctions in the weakly screened regime ($\kappa\lesssim 3$). It is alsodemonstrated that for stronger screening ($\kappa\gtrsim 3$), the effect ofspatial dimensionality virtually disappears, the longitudinal sound velocitiesapproach a common asymptote, and a one-dimensional nearest-neighborapproximation provides a relatively good estimate for this asymptote. Thisresult is not specific to the Yukawa potential, but equally applies to otherclassical systems with steep repulsive interactions. An emerging relation to apopular simple freezing indicator is briefly discussed. Overall, the resultscan be useful when Yukawa interactions are relevant, in particular, in thecontext of complex (dusty) plasmas and colloidal suspensions.

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