CE 530 Molecular Simulation

2/22/00


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Table of Contents

CE 530 Molecular Simulation

Review

Performance Measures

Rate of Convergence 1.

Rate of Convergence 1.

Rate of Convergence 2.

Occupancy Variance 1.

Occupancy Variance 2.

Example Performance Values

Example Performance Values

Heuristics to Improve Performance

Biasing the Underlying Markov Process

Example: Biased Insertion in GCMC

Insertion/Deletion Trial Move 1. Specification

Insertion/Deletion Trial Move 2. Analysis of Trial Probabilities

Insertion/Deletion Trial Move 3. Analysis of Detailed Balance

Insertion/Deletion Trial Move 3. Analysis of Detailed Balance

Insertion/Deletion Trial Move 3. Analysis of Detailed Balance

Biased Insertion/Deletion Trial Move 1. Specification

Biased Insertion/Deletion Trial Move 2. Analysis of Trial Probabilities

Biased Insertion/Deletion Trial Move 3. Analysis of Detailed Balance

Biased Insertion/Deletion Trial Move 4. Comments

Force-Bias Trial Move 1. Specification

An Aside: Sampling from a Distribution

Force-Bias Trial Move 2. Analysis of Trial Probabilities

Force-Bias Trial Move 3. Analysis of Detailed Balance

Force-Bias Trial Move 3. Analysis of Detailed Balance

Force-Bias Trial Move 4. Comments

Association-Bias Trial Move 1. Specification

Association-Bias Trial Move 1. Specification

Association-Bias Trial Move 2. Analysis of Trial Probabilities

Association-Bias Trial Move 3. Analysis of Detailed Balance

Association-Bias Trial Move 4. Comments

Using an Approximation Potential 1. Specification

Approximation Potential 2. Analysis of Trial Probabilities

Approximation Potential 3. Analysis of Detailed Balance

Approximation Potential 3. Analysis of Detailed Balance

Approximation Potential 3. Analysis of Detailed Balance

Summary

Author: David Kofke

Email: kofke@eng.buffalo.edu

Home Page: http://www.cheme.buffalo.edu/courses/ce530

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