Frequency-dependent hydrodynamic finite size correction in molecular simulations reveals the long-time hydrodynamic tail

Autor: Scalfi, Laura, Vitali, Domenico, Kiefer, Henrik, Netz, Roland R.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Finite-size effects are challenging in molecular dynamics simulations because they have significant effects on computed static and dynamic properties, in particular diffusion constants, friction coefficients and time- or frequency-dependent response functions. We investigate the influence of periodic boundary conditions on the velocity autocorrelation function and the frequency-dependent friction of a particle in a fluid and show that the long-time behavior (starting at the picosecond timescale) is significantly affected. We develop an analytical correction allowing to subtract the periodic boundary condition effects. By this we unmask the power-law long-time tails of the memory kernel and the velocity autocorrelation function in liquid water and a Lennard-Jones fluid from rather small simulation boxes.
Comment: 6 pages, 4 figures, 9 pages of Appendices
Databáze: arXiv