Simulation Methods I

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Simulation Methods IMaria FytaInstitute for Computational PhysicsUniversität StuttgartOct. 17 2013

The TeamOlaf LenzSoftwareESPResSoMaria Fytabiomolecules andmaterialsElena Minimasegregation process of polymers Bibek AdhikariCarbon materials2/11

Course contentsBasics (quantum mechanical methods, statistical mechanics, elasticitytheory)Quantum mechanics & methodsStatMech (ensembles, observables)Elasticity theoryCommon features in SimulationsClassical SimulationsMolecular DynamicsMonte CarloLangevin, Brownian DynamicsBuilding potentialsSimulating liquidsOverview of advanced simulation 11

Course where & whenThursdays, 11:30-13:00, ICP Seminar roomTutorialsNew worksheets every other week handed out every 2nd ThursdayDiscussion meetings and tutorials; Friday 08:00-10:00 – ICP CIP-PoolWorksheets due every 2nd Tuesday.First discussion meeting (first worksheet):First tutorial:First worksheet due date:ExamPrerequisite: 50% of the total points in the tutorialsOral examination at the end of the two-semester course (Sim. Meth.I II)http://www.icp.uni-stuttgart.deM.Fyta4/11

Recommended LiteratureD. Frenkel and B. Smit, Understanding Molecular Simulation, Academic Press,San Diego, 2002.M.P. Allen and D.J. Tildesley, Computer Simulation of Liquids, Oxford SciencePublications, Clarendon Press, Oxford, 1987.D. C. Rapaport, The Art of Molecular Dynamics Simulation, Cambridge UniversityPress, 2004.D. P. Landau and K. Binder, A guide to Monte Carlo Simulations in StatisticalPhysics, Cambridge, 2005.M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics.Oxford University Press, 1999.J.M. Thijssen, Computational Physics, Cambridge (2007)M.E. Tuckermann, Statistical Mechanics: Theory and Molecular Simulation,Oxford Graduate Texts (2010).A. Leach, Molecular Modelling: Principles and Applications, Pearson EducationLtd. (2001).M.O. Steinhauser, Computational Multiscale Modeling of Fluids and Solids,Springer, (2008).http://www.icp.uni-stuttgart.deM.Fyta5/11

KeywordsWhat is Computational Physics?What are Simulation Methods?Why do we need Computer Simulations (in Physics)?http://www.icp.uni-stuttgart.deM.Fyta6/11

Computational PhysicsBridge theory and experimentsVerify or guide experimentsInvolves different spatial and temporal scalesExtraction of a wider range of properties, mechanical, thermodynamic,optical, electronic, etc.Accuracy vs. 11

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.deM.Fyta9/11

Levels of Computation(Main examples)Quantum-mechanical (Schrödinger’s eq.)Classical (Netwon’s eq. of motion)Kinetics (mesoscopic) (Boltzmann distribution)Lattice (mesoscopic) (distributions on a lattice)finite elements methods (differential 11

http://www.icp.uni-stuttgart.deM.Fyta11/11

Classical Simulations Molecular Dynamics Monte Carlo Langevin, Brownian Dynamics . Computational Physics, Cambridge (2007) M.E. Tuckermann, Statistical Mechanics: Theory and Molecular Simulation, . What is Computational Physics? What are Simulation Methods? Why do we need Computer Simulations (in Physics)? .

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