nanoHUB.org will be intermittently unavailable Saturday, January 3, for scheduled maintenance. All tool sessions will be expired. We apologize for any inconvenience that may occur. close

Support

Support Options

Submit a Support Ticket

 

Illinois PHYS 466, Lecture 13: Brownian Dynamics

By David M. Ceperley

University of Illinois at Urbana-Champaign

View Presentation (SWF)

Licensed according to this deed.

Published on

Abstract

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

Credits

This presentation was breezed and uploaded by Omar Sobh

Cite this work

Researchers should cite this work as follows:

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

    BibTex | EndNote

Tags

nanoHUB.org, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.