Nanoscale hydrodynamics near solids

This repository contains most of the work that I did throughout the four years I spent working in my Ph.D.

If you are only interested in the dissertation, I recommend you to visit this website, where you can download the entire file in pdf format.

I would have liked to clean the code contained in the jupyter notebooks. Maybe it is not readable enough, but I did my best with the little time that every phd candidate has along in his/her last year. Hope it would be useful.

Because GitHub does not admit files larger than 100.00 MB, all the necessary files to run the notebooks are not included.

Topics

• Molecular Dynamics (MD) simulations.
• Coarse-Graining Theory.
• Statistical Physics.
• Nanohydrodynamics.

Software and tools

• To perform MD simulations I used LAMMPS.
• To obtain mesoscopic information from the simulations my group developed the CG-Method. Almost all the code was written by @hiperones.
• Python was my predilect language to translate the theory to code. And Jupyter notebooks my panopticon to visualize the results.

Publications

• Microscopic Slip Boundary Conditions in Unsteady Fluid Flows. Ref: Phys. Rev. Lett. 123, 264501 – Published 24 December 2019.
• Discrete hydrodynamics near solid walls: Non-Markovian effects and the slip boundary condition. Ref: Phys. Rev. E 100, 062133 – Published 24 December 2019
• Discrete hydrodynamics near solids for planar flows. Ref: Phys. Rev. E 99, 052130 – Published 24 May 2019.
• Solution to the plateau problem in the Green-Kubo formula. Ref: Phys. Rev. E 99, 022126 – Published 19 February 2019.
• Nanoscale hydrodynamics near solids. Ref: The Journal of Chemical Physics 148, 064107 - Published 12 February 2018.