T e a c h i n g
- SIMULATION TECHNIQUES SEMINAR (RUB SS 2004)
- 26/04/2004: Eduard Schreiner
Born-Oppenheimer approximation; classical nuclei; classical equations
of motion; Newton, Lagrange, Hamilton
formalisms of Classical Mechanics;
Car-Parrinello MD equations of motion,
Born-Oppenheimer MD.
Reading: [1, Section 2], [2, Sections 2.1 - 2.6], [3, p. 222 ff.],
[4, Appendix A]
- 10/05/2004: Volker Kleinschmidt (moved to 17/05/2004)
MD Integrators: Verlet algorithm (position, velocity, leapfrog),
predictor-corrector, Liouville
formalism
Reading: [6, Sections 3.1 - 3.3], [7, p. 148 ff.], [4, p. 69
ff.], [8, p. 73 ff.], [9, p. 12 ff.]
- 24/05/2004: Marcel Baer
Statistical ensembles: microcanonical, canonical,
isothermal-isobaric,
grandcanonical; constant
temperature MD: Andersen,
Nose, Nose-Hoover
thermostats; constant
pressure MD
Reading: [6, Section 4], [8, Sections 2.2, 7.4 - 7.6], [4,
Chapters 5, 6]
- 07/06/2004: Roman Kovacik
Constraint techniques: fixed bond lengths, RATTLE / SHAKE algorithms,
rare events, free
energy calculation,
coordination
constraint, targeted
MD
Reading: [9, Section 3.2], [8, Section 3.4], [10], [11], [12]
- 21/06/2004: Konstantinos Kotsis
Beyond the Born-Oppenheimer approximation: mixed quantum-classical
approaches to
nonadiabatic
dynamics:
surface
hopping, mean
field
(Ehrenfest)
Reading: [13]
- 05/07/2004: Holger Langer
Analysis methods: radial distribution functions, correlation
functions, diffusion coefficient, vibrational spectra
Reading: [8, Sections 2.6, 2.7, 6.1 - 6.3], [4, Section 4.4
(excl. 4.4.2), 4.5]
- 19/07/2004: Ilka Hegemann
Monte Carlo simulations; Metropolis algorithm, canonical ensemble,
grandcanonical ensemble, importance sampling
Reading: [14, Sections 1 -3], [8, Sections 4.1 - 4.6]
References
- N. L. Doltsinis and D. Marx: First Principles Molecular
Dynamics Involving Excited States and Nonadiabatic
Transitions, J. Theor. Comp. Chem., 1
(2002) 319 - 349.
- D. Marx and J. Hutter: Ab
Initio Molecular Dynamics: Theory and
Implementation, in Modern
Methods and Algorithms of Quantum Chemistry, edited by
J. Grotendorst (NIC, FZ Jülich,
2000).
- A. Messiah: Quantum Mechanics volume 1 (North-Holland,
Amsterdam, 1975)
- D. Frenkel and B. Smit: Understanding Molecular Simulation
(Academic Press, San Diego,
2002)
- N. L. Doltsinis: Nonadiabatic
Dynamics: Mean-Field and Surface
Hopping, in Quantum Simulations
of Complex Many-Body Systems: From
Theory to Algorithms, edited by
J. Grotendorst, D. Marx, and
A. Muramatsu (NIC, FZ
Jülich, 2002).
- G. Sutmann: Classical Molecular
Dynamics, in Quantum Simulations
of Complex Many-Body Systems: From
Theory to Algorithms, edited by
J. Grotendorst, D. Marx, and
A. Muramatsu (NIC, FZ
Jülich, 2002).
- J. M. Haile: Molecular Dynamics Simulation
(Wiley, New York,
1997)
- M. P. Allen and D. J. Tildesley: Computer Simulation of Liquids
(Clarendon Press, Oxford
1997)
- M. P. Allen: Introduction to Molecular
Dynamics Simulation, in Computational Soft Matter:
From Synthetic Polymers to Proteins, edited by
Norbert Attig,
Kurt Binder,
Helmut Grubmüller, and
Kurt Kremer (NIC, FZ
Jülich, 2004).
- M. Sprik: Computation of the pK
of
liquid water using coordination constraints, Chem. Phys., 258
(2000) 139.
- M. Sprik: Coordination numbers as
reaction coordinates in constrained molecular dynamics, Faraday Discuss., 110
(1998) 437 -445.
- J. Schlitter, W. Swegat and T. Mülders: Distance type reaction coordinates for modeling activated processes, J. Mol. Mod., 7
(2001) 171 - 177.
- N. L. Doltsinis: Nonadiabatic Dynamics: Mean-Field and Surface Hopping, in Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms, edited by J. Grotendorst, D. Marx and A. Muramatsu (NIC, FZ Jülich, 2002).
- D. Frenkel: Introduction to Monte Carlo Methods, in Computational Soft Matter:
From Synthetic Polymers to Proteins, edited by
Norbert Attig,
Kurt Binder,
Helmut Grubmüller, and
Kurt Kremer (NIC, FZ
Jülich, 2004).
- NONADIABATIC
DYNAMICS: MEAN FIELD AND SURFACE HOPPING
(Kerkrade Winterschool 2002)