Gaussian factorization of hydrodynamic correlation functions and mode-coupling memory kernels.

摘要: A simple method to determine mode-coupling memory functions in generalized Langevin equations is obtained by explicitly expressing the random force of slow hydrodynamic modes terms pair interactions liquids and Gaussian factoring resulting multiple-point time correlation into products linear functions. The approach used derive kernels for velocity autocorrelation function, four-point bilinear density function molecular liquids. These their associated are useful calculating relaxation processes spectroscopic measurements solvents. As a central result our analysis, non-Gaussian behavior quantitatively related nonexponential nature modes. This relation aids understanding recent simulation results indicators supercooled