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Computational Physics - Monte Carlo Methods

Computational Physics - Monte Carlo Methods. Dr. Guy Tel- Zur Lecture 9. Murmur by Piotr  Wojtkowski , http://www.publicdomainpictures.net. Version 08-12-2010-16:45. References. MHJ Chapter 10 R. Landau et. al “A Survey of Computational Physics”, Chapters 5 and 13

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Computational Physics - Monte Carlo Methods

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  1. Computational Physics -Monte Carlo Methods Dr. Guy Tel-Zur Lecture 9 Murmur by Piotr Wojtkowski, http://www.publicdomainpictures.net. Version 08-12-2010-16:45

  2. References • MHJ Chapter 10 • R. Landau et. al “A Survey of Computational Physics”, Chapters 5 and 13 • S. Koonin, Chapter 8 • Giordany & Nakanishi, Chapters 7 & 8

  3. Random Walk • Self Avoidance Walk (SAW), non-intersecting

  4. Ising model and phase transitions in magnetic systems

  5. The Magnetization:

  6. 2D square lattice with Periodic Boundary Conditions (PBC) The Partition function for N spins in 1D with free ends (see textbook): The Partition function for N spins in 1D with PBC:

  7. A phase transition is marked by abrupt macroscopic changes as external parameters are changed, such as an increase of temperature. The point where a phase transition takes place is called a critical point.

  8. The Ising model and phase transitions

  9. The Metropolis algorithm and the two-dimensional Ising Model

  10. MHJ “ising_2dim.cpp” can not be compiles. “matrix” is undefined and free_matrix as well….  Analyze the Parallel 2D Isingmodel program I am looking for a student that will work on Parallel Ising model for his final project!

  11. Time-correlation functions

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