Computational Physics 1
Code  Completion  Credits  Range 

12PFTF1  Z,ZK  2  1P+1C 
 Garant předmětu:
 Ondřej Klimo, Milan Kuchařík
 Lecturer:
 Milan Kuchařík
 Tutor:
 Milan Kuchařík
 Supervisor:
 Department of Physical Electronics
 Synopsis:

The course is giving an overview of some of the wellknown computational physics methods in various fields of physics. The first part concentrates on particle simulation methods  molecular dynamics, Monte Carlo method and other methodsof solving the particle transport in selfconsistent fields (e.g. Particle in Cell method in plasma physics). The second part concentrates on methods of solving Maxwell equations and in particular on the finite difference, finite elements methods and the method of moments. An introduction to application of computational physics methods in quantum physics (HartreeFock method, density functional theory) is also given.
 Requirements:
 Syllabus of lectures:

1. Introduction to Molecular dynamics, interaction potentials and solving the equations of motion
2. Measurements in molecular dynamics, equilibrium and dynamical properties of simple fluids, i nitial and boundary conditions, longrange potentials
4. Introduction to Monte Carlo method, Metropolis algorithm
5. Kinetic Monte Carlo simulations for particle transport problems  Monte Carlo solution of transport equation, types of interactions, techniques to reduce the simulation time and the variance of the results
7. Charged particle transport in plasmas using Particle in Cell method
8. Particle in Cell method  equations of motion, interpolation of quantities on the grid, particle shapes, stability and applicability of the method
9. Methods for solving Maxwell equations, overview of the methods and their properties
10. Finite Difference Time Domain method and boundary conditions, Finite Element method, Method of Moments
11. HartreeFock method, density functional theory
 Syllabus of tutorials:
 Study Objective:

Knowledge: Theory and implementation of some of the wellknown computational physics methods in various fields of physics.
Skills: Use and application of the wellknown computational physics methods in various fields of physics.
 Study materials:

Key references:
[1] A. Bondeson, T. Rylander, P. Ingelstrom, Computational Electromagnetics (Texts in Applied Mathematics), Second Edition, Springer, 2013
[2] J. Thijssen, Computational Physics, Second Edition, Cambridge University Press, New York, 2007
[3] D.C. Rapaport, The Art of Molecular Dynamics Simulation 2nd Edition, Cambridge University Press; 2 edition, New York, 2004
Recommended references:
[4] A. Haghighat, Monte Carlo Methods for Particle Transport, CRC Press, Boca Raton, 2016
[5] C.K. Birdsall, A.B Langdon, Plasma Physics via Computer Simulation, Taylor & Francis Gropu, New York, 2005
Media and tools:
none
 Note:
 Timetable for winter semester 2022/2023:
 Timetable is not available yet
 Timetable for summer semester 2022/2023:
 Timetable is not available yet
 The course is a part of the following study plans: