Fig. 4: Bridging collective shear dynamics to particle-level motion.
From: Atomistic mechanisms of viscosity in 2D liquid-like fluids
a Spectra of transverse modes in a 2D Yukawa liquid-like fluid with κ = 1, and the corresponding dispersion relation marked as dots. Frequencies are normalized by the nominal dusty plasma frequency \({\omega }_{pd}\equiv {\left({Q}^{2}/2\pi m{\epsilon }_{0}m{a}^{3}\right)}^{1/2}\)49, while wave-vectors are normalized using the Wigner–Seitz radius a. The obtained dispersion relations under different reduced temperatures are presented in the inset. b Same analysis for 2D L-J liquid-like fluids with particle density n = 1 at different reduced temperatures T/Tm. c Universal linear relation between the dimensionless cutoff wave-vector kg and the inverse dimensionless microscopic length-scale \({l}_{p}={\bar{v}}_{p}{\tau }_{LC}\). The slopes of the two fitting lines are ≈ 0.98 and 0.88, respectively.
