Molecular dynamics simulation study of probe diffusion in liquid n-alkanes

We performed molecular dynamics simulations for the probe diffusion and friction dynamics of Lennard-Jones (LJ) particles modelled for methyl yellow (MY) in liquid n-alkanes of C₁₂–C₂₀₀ at temperatures of 318, 418, 518 and 618 K. Two LJ particles are chosen: MY1 with a mass of 114 g/mol, LJ parameters of σ = 4.0 Å and ? = 0.4 kJ/mol, and MY2 with a mass of 225 g/mol, σ = 6.0 Å and ? = 0.6 kJ/mol. We observed a clear transition in the power law dependence of MY2 diffusion on the molecular weight of n-alkanes at lower temperatures of 318 and 418 K. The sharp transitions occur near n-dotriacontane (C₃₂). However, no such transition is found for MY1 at all the temperatures and for MY2 at higher temperatures of 518 and 618 K. We also calculated the friction constants of both MY probe molecules in liquid n-alkanes. For the larger probe molecule (MY2), at lower temperatures, a large deviation of slope from the linear dependence of the friction of MY2 on the chain length of n-alkane is observed, which indicates a large reduction of friction in longer chains when compared with the shorter chains, enhancing the diffusion of the probe molecules (MY2).