Brownian Dynamics

Let’s explore the connection between Brownian motion and Metropolis Monte Carlo. Why?

• Connection with smart MC
• Introduce the idea of kinetic Monte Carlo
• Get rid of solvent degrees of freedom and have much longer time steps.

Content:

• Local Markov process
• General Form of Evolution
• Moment Expansion
• Trotter’s formula
• Generalized Trotter Formula
• Evaluation of diffusion term
• Green’s function for a gradient
• Summary of Brownian Dynamics
• Hydrodynamical effects
• Langevin Equation
• Dissipative Particle Dynamics (DPD)FS 465

Researchers should cite this work as follows:

• David M. Ceperley (2009), "Illinois PHYS 466, Lecture 13: Brownian Dynamics," http://nanohub.org/resources/6635.

1. Illinois 3
2. material properties 1
3. materials 1
4. material science 1