From b5e21a7daf7f9f7b73bbea532a0d609a09b4956b Mon Sep 17 00:00:00 2001 From: Anders Kvellestad Date: Fri, 8 Nov 2024 00:16:31 +0100 Subject: [PATCH] Update documentation --- _sources/book/projects/project4.md | 10 ++++ _sources/lecture_notes/2024/README.md | 22 +++++++- book/projects/project4.html | 14 ++++- lecture_notes/2024/README.html | 78 ++++++++++++++++++++++++--- searchindex.js | 2 +- 5 files changed, 114 insertions(+), 12 deletions(-) diff --git a/_sources/book/projects/project4.md b/_sources/book/projects/project4.md index 2721aef..e2df01c 100644 --- a/_sources/book/projects/project4.md +++ b/_sources/book/projects/project4.md @@ -118,6 +118,11 @@ Assume a $2 \times 2$ lattice with periodic boundary conditions. - total magnetisation - degeneracy +```{note} +When computing the energy, we have said that the sum should avoid double-counting spin pairs. However, a $2 \times 2$ lattice is a special case, since using periodic boundary conditions in this case necessarily leads to counting all spin pairs twice. So for this particular case it is OK to double-count. And we recommend doing it, since in Problem 4 we will use the analytical results from this problem to test our code, so it's useful to have the periodic boundary conditions work the same way in the $2 \times 2$ case as in the general $L \times L$ case. (Otherwise we would have to add a special `if-else` block in the code to turn off the periodic boundaries for the case when L=2.) +``` + + - **b)** Find analytical expressions for - $Z$ - $\langle \epsilon \rangle$ @@ -248,6 +253,11 @@ Time to actually write some code! **b)** Validation: For a temperature of $T = 1.0\,J/k_B$, compare your results to the analytical results from Problem 1. (Feel free to compare for other temperature values as well, or simply make plots of these quantities versus temperature.) +```{note} +See the note in Problem 1 about periodic boundary conditions for the special case of a $2 \times 2$ lattice. Short summary: it is OK to double-count spin pairs for this special case, so we can use the exact same code for all lattice sizes, including $2 \times 2$. +``` + + **c)** How many **Monte Carlo cycles** do you need to get good agreement with the analytical result? (Here *one Monte Carlo cycle* corresponds to *$N$ attempted spin flips*.) diff --git a/_sources/lecture_notes/2024/README.md b/_sources/lecture_notes/2024/README.md index b31eef0..96693a5 100644 --- a/_sources/lecture_notes/2024/README.md +++ b/_sources/lecture_notes/2024/README.md @@ -181,13 +181,31 @@ - Markov chains -### Plan for Lecture 21, October 31: +### Lecture 21, October 31: - Wrap up discussion of Markov chains - Markov chain Monte Carlo (MCMC) -- Start on parallel computing +### Lecture 22, November 1: +- Wrap up discussion of MCMC + - MCMC code examples +- Parallel computing + + +### Lecture 23, November 7: +- Wrap up discussion of parallel computing + - Amdahl's law +- Random number generation +- If time: start on sampling from low-dimensional pdfs + + +### Lecture 24, November 8: +- Sampling from low-dimensional pdfs + - Rejection sampling + - Importance sampling + - Inverse transform sampling + diff --git a/book/projects/project4.html b/book/projects/project4.html index 338638a..5d1d04b 100644 --- a/book/projects/project4.html +++ b/book/projects/project4.html @@ -844,15 +844,21 @@

Problems

Problem 1#

Assume a \(2 \times 2\) lattice with periodic boundary conditions.

- @@ -1065,12 +1095,46 @@

Lecture 20, October 25:

Markov chains

-
-

Plan for Lecture 21, October 31:#

+
+

Lecture 21, October 31:#

  • Wrap up discussion of Markov chains

  • Markov chain Monte Carlo (MCMC)

    • -

  • Start on parallel computing

    • +
+
+
+

Lecture 22, November 1:#

+
    +

  • Wrap up discussion of MCMC

    +
      +

    • MCMC code examples

      • +
    +
    • +

  • Parallel computing

    • +
+
+
+

Lecture 23, November 7:#

+
    +

  • Wrap up discussion of parallel computing

    +
      +

    • Amdahl’s law

      • +
    +
    • +

  • Random number generation

    • +

  • If time: start on sampling from low-dimensional pdfs

    • +
+
+
+

Lecture 24, November 8:#

+
    +

  • Sampling from low-dimensional pdfs

    +
      +

    • Rejection sampling

      • +

    • Importance sampling

      • +

    • Inverse transform sampling

      • +
    +
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users","Mac users","Windows users","Classes","Code structure","Common errors","Compiling and linking, take 1","Compiling and linking, take 2","Containers","Debugging","Declaration vs definition","Functions, take 1","Functions, take 2","Hello World","If else","Input and output","Intro","Introduction to Armadillo","Loops","Online C++ resources","Pointers","Read command line input","Read from file","References","Source files and header files","Variables","Write to file","Memory traffic is the bottleneck","Common Problems","Introduction to OpenMP","Using OpenMP","Project 1","Project 2","Project 3","Project 4","Project 5","Add a README and gitignore","Dealing with merge conflicts","Introduction to Git","Online git resources","Other ways to fix mistakes","Prevent the tracking of very large files","Recover an old version of a file","Setting up a UiO GitHub repository","Using Git","Intro","Basics","Keyboard shortcuts","Checklist for reports","Introduction to LaTeX","Project templates","Report template","Example code structure for C++ projects","Examples of some compilation and linking basics","Example error analysis","How to spot where something goes wrong in your code?","Simple example of pass-by-value and pass-by-reference","main_threadsafety.cpp","main_minimal.cpp","<no title>","Welcome","Overview of lecture 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