Fig. 5: Structural definition of the local connectivity time.
From: Atomistic mechanisms of viscosity in 2D liquid-like fluids
a Calculated pair-correlation function g(r) of a 2D L-J liquid (red line) and the corresponding effective potential w(r)/kBT (blue dashed line). The vertical black arrows indicate the potential difference between the first maximum and first minimum that is identified with the potential barrier ΔG in Frenkel’s description, Eq. (10). b The temperature dependence of the potential factor \(\exp \left(\Delta w/{k}_{B}T\right)\) as a function of the reduced temperature T/Tm for the various systems studied. c The universal linear relation between the dimensionless local connectivity time \({\tau }_{LC}/{\left(n{k}_{B}T/m\right)}^{-1/2}\) and \(\exp \left(\Delta w/{k}_{B}T\right)\) for all systems considered.
