1. SylabUZ
2. Wydział Fizyki i Astronomii
3. semestr zimowy 2019/2020
4. Fizyka - drugiego stopnia z tyt. magistra
5. Computer simulations

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Computer simulations - opis przedmiotu

Cel przedmiotu

The aim of the course is to gain basic knowledge of computer simulation methods and the ability to choose the appropriate simulation model to the considered problem. Students should acquire skills in implementation of this knowledge by designing the proper algorithms and then interpreting the results of computer simulations.

Wymagania wstępne

Zapisz zmiany

Ability to use some programming language​.

Zakres tematyczny

- Representation of numbers, excess and underflow errors, truncation error (finite difference method), the stability of numerical algorithms.
- Algorithms for solving the equations of motion: Euler, Verlet, velocity Verlet, numerical solution of the harmonic oscillator.
- Monte Carlo algorithms (random number generators, random variables with different probability distributions, Metropolis algorithm, stochastic equations).
- Selected examples of applications (simulation of phase transitions, relaxation of the electric dipole)

Metody kształcenia

Lectures and laboratory exercises, discussions, independent work with a specialized scientific literature in Polish and English, and work with the technical documentation and search for information on the Internet.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

Lecture: positive evaluation of the test.
Laboratory: positive evaluation of the tests, the execution of the project.
The final evaluation of the laboratory: evaluation of tests of 60%, the assessment of the project 40%.
Before taking the exam the student must be credited with the exercises.
Final grade: arithmetic mean of the completion of the lecture and in excersises.

Literatura podstawowa

[1] J.C. Berendsen and W.F. Van Gunsteren, Practical Algorithms for Dynamic Simulations in Molecular dynamics simulations of statistical mechanical systems, Proceedings of the Enrico Fermi Summer School, p. 43 - 45, Soc. Italinana de Fisica, Bologna 1985.
[2] Stephen Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys. 55, 601 - 644 (1983).
[3] Tao Pang, An Introduction to Computational Physics, Cambridge University Press (2006).

Literatura uzupełniająca

[1] William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, Numerical recipes, The art of scientific computing, third edition 2007.

Uwagi

Zmodyfikowane przez dr hab. Piotr Lubiński, prof. UZ (ostatnia modyfikacja: 05-03-2020 15:43)