Understand the Metropolis Algorithm - Physics Student Guide

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Discussion Overview

The discussion centers around the Metropolis Algorithm, particularly its application in simulations such as the Ising Model. Participants seek clarification on how the algorithm selects configurations and request resources for further learning.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant asks how the Metropolis Algorithm selects configurations for further iterations, indicating a lack of familiarity with statistics.
  • Another participant clarifies that the Metropolis Algorithm is about choosing acceptance ratios for configurations rather than defining how to propose new configurations.
  • A participant mentions working on a simulation involving the Metropolis Algorithm for the Ising Model and requests quick resources to learn the basics.
  • Multiple participants recommend various resources, including lecture videos from MIT, the original paper by Metropolis, and a book titled "Understanding Molecular Simulation" for further reading.

Areas of Agreement / Disagreement

Participants generally agree on the need for resources to understand the Metropolis Algorithm, but there is no consensus on a single best approach or resource for learning.

Contextual Notes

Some participants express urgency in learning the algorithm due to time constraints for their simulations, which may affect the depth of understanding they can achieve.

Aniket1
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Can someone tell me how the Metropolis Algorithm selects configurations for further iterations?
I am an undergraduate physics student and I don't know a lot of statistics. Also, I want to read more about the Metropolis Algorithm. Please help me with some good links.
Thank You
 
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Metropolis is a choice for chosing accept ratios for randomly-generated configurations, not a definition of how to select/propose new configurations. For books I can recommend Newman, Barkema, "Monte Carlo Methods in Statistical Physics", which is a nice and easy read but still transmits information of practical relevance.
 
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Thanks a lot. I am actually trying to work on a simulation involving the metropolis algorithm for the Ising Model and I have been given a small amount of time to finish it. Can anyone refer some links to me where I can quickly pick up the basic aspects of the algorithm?
 
A quick and easy to follow guide is to watch lecture 17 and 18 from the course taught at MIT by Ceder and Marzari. Here is a link:

http://ocw.mit.edu/courses/material...aterials-sma-5107-spring-2005/video-lectures/

If you are keen on learning , start by Metropolis original paper! It is also readable and very informative:
http://jcp.aip.org/resource/1/jcpsa6/v21/i6/p1087_s1

Then when the time is ripe you can consult "understanding Molecular Simulation" This book has actually some algorithms and pseudo-code:
https://www.amazon.com/dp/0122673514/?tag=pfamazon01-20
 
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Useful nucleus said:
A quick and easy to follow guide is to watch lecture 17 and 18 from the course taught at MIT by Ceder and Marzari. Here is a link:

http://ocw.mit.edu/courses/material...aterials-sma-5107-spring-2005/video-lectures/

If you are keen on learning , start by Metropolis original paper! It is also readable and very informative:
http://jcp.aip.org/resource/1/jcpsa6/v21/i6/p1087_s1

Then when the time is ripe you can consult "understanding Molecular Simulation" This book has actually some algorithms and pseudo-code:
https://www.amazon.com/dp/0122673514/?tag=pfamazon01-20

Thanks a lot..
 
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