ChE 520: Molecular Simulation Methods – Fall 2009

 

Course organization

 

Lectures are usually on Tuesdays and Thursdays from 9 am – 10:20 am in A224. Occasional makeup lectures will be announced on the course web site (http://paros.princeton.edu/che520/syllabus.htm) and will be held on Mondays from 3:30 – 4:50, also in A224.

 

There will be 5 programming assignments (50% of the grade) and a final project (40%) – class participation contributes 10%.  Assignments require access to a f77 or f90 compiler (see this link on how to access Princeton's Unix systems).

 

We will be using the textbook by D. Frenkel and B. Smit, "Understanding Molecular Simulation," 2nd Ed., Academic Press, London, 2002.

 

 Tentative course syllabus (detailed schedule)

 

1. Introduction

           Scope of molecular simulation, computer hardware

            Classical potential functions

            Statistical mechanical ensembles

            Elements of modern Fortran programming

2. Simple Monte Carlo methods

            Random numbers and random distributions

            Importance Sampling, Metropolis and Barker acceptance

            Canonical Ensemble MC

            Constant-pressure and Grand Canonical MC

3. Simple Molecular Dynamics methods

            Equations of motion

            Time correlation functions

            Calculation of transport properties

            Extended Hamiltonian methods

4. Free energies and phase equilibria

            Histogram reweighting, flat histogram methods

            Thermodynamic Integration

            Widom Test Particles

            Non-equilibrium work theorem

            The Gibbs Ensemble

            Determination of critical points / finite-size scaling

            Solid free energies and Gibbs-Duhem integration

            Polymers: Configurational-bias sampling

5. Special Topics

            Dynamic Monte Carlo

            Transition path and transition interface sampling

            Infinite-range forces and Ewald sums