Simulationsmethoden I

Simulationsmethoden in der Physik I:Simulation Methods in Physics I

Type

Lecture (2 SWS) and Tutorials (2 SWS)

The course will take place during the first 6 weeks of the semester with 4 hours per week lectures, and 4 hours tutorial

Lecturer

Prof. Dr. Christian Holm (Lecture) and Joan Josep Cerdà, Fatemeh Tabatabaei, Nadezhda Gribova (Tutorials)

Course language

Deutsch oder Englisch, wie gewünscht- German or English, by vote

Time and Room

Lecture times: Tue 11.30 - 13.00 in V57.04 and Wed 9.45 - 11.15 in S6.331 (Seminarraum im 6. O.G.)

The lecture is accompanied by hands-on-tutorials which will take place in the CIP-Pool of the ICP, Pfaffenwaldring 27, U 104 or U 108. They consist of practical excercises at the computer, like small programming tasks, simulations, visualisation and data analysis. The tutorials build on each other, therefore continous attendance is expected. The dates of the tutorials will be fixed in the first lecture.

Scope

The course will give an introduction to modern simulational techniques, like Monte-Carlo (MC) and Molecular dynamics (MD) simulations (on- and off-lattice), and how to solve non-linear PDEs like the Poisson-Boltzmann equation.

Prerequisites

We expect the participants to have basic knowledge in classical and statistical mechanics, thermodynamics, electrodynamics, and partial differential equations, as well as knowledge of a programming language (preferably C or C++).

Certificate Requirements:

1. Attendance of the exercise classes

2. Obtaining 50% of the possible marks in the hand-in exercises

Lecture (still under revision, please keep looking)

Date	Subject
20.4.	Initial informational meeting - Vorbesprechung
23.4.	Monte-Carlo integration/simulation (Simple vs. Importance sampling) Look at Zuse's Z3 computer from 1941: Z3 and read something about the first big US computer at Los Alamos Evolving from Calculators to Computers
27.4.	2D Random walks (RW) and Self-avoiding random walks (SAW)--Ising model I (Phase transitions, Critical phenomena, Finite size scaling)
30.4.	2D Ising model II (Reweighting, Cluster Algorithm)
4.5.	Error Analysis (Binning, Jackknife, ...)
7.5.	Molecular Dynamics I (Velocity Verlet algorithm, Reduced units, Langevin thermostat, Potentials, Forces, Atomistic force fields)
11.5.	Molecular Dynamics II
14.5.	Long range interactions (Direct sum, Ewald summation, P3M, Fast Multipole method) This pdf file long_range_lecture.pdf (216 KB) contains surely too many details, but I will walk you through in class. In case you like to have some more background material, here is a review article by A. Arnold and me about this topic (arnold05a.pdf ())
14.5.
18.5.
25.5.
28.5.	last lecture of Simulationsmethoden I

Recommended literature

• Daan Frenkel, Berend Smit.
  Understanding Molecular Simulation: From Algorithms to Applications.
  Part of Computational Science, volume 1. Edition 2.
  Academic Press, San Diego, 2002. ISBN: 978-0-12-267351-1.
  [DOI]
• Mike P. Allen, Dominik J. Tildesley.
  Computer Simulation of Liquids.
  Part of Oxford Science Publications. Edition 1.
  Clarendon Press, Oxford, 1987.
  
• D. C. Rapaport.
  The Art of Molecular Dynamics Simulation.
  Edition 2.
  Cambridge University Press, 2004. ISBN: 9780511816581.
  [DOI]
• D. P. Landau, K. Binder.
  A guide to Monte Carlo Simulations in Statistical Physics.
  Edition second edition.
  Cambridge, 2005.
  
• M. E. J. Newman, G. T. Barkema.
  Monte Carlo Methods in Statistical Physics.
  Edition 2002 edition.
  Oxford University Press, 1999.