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11.021, 3.021, 10.333, 22.00Introduction to Modeling and SimulationSpring 2011Part I –Continuum and particle methodsMarkus J. BuehlerLaboratory for Atomistic and Molecular MechanicsDepartment of Civil and Environmental EngineeringMassachusetts Institute of TechnologyApplications to biophysics and bionanomechanics Lecture 10 2Content overviewI. Particle and continuum methods1.Atoms, molecules, chemistry2.Continuum modeling approaches and solution approaches 3.Statistical mechanics4.Molecular dynamics, Monte Carlo5.Visualization and data analysis 6.Mechanical properties –application: how things fail (and how to prevent it)7.Multi-scale modeling paradigm8.Biological systems (simulation in biophysics) –how proteins work and how to model themII. Quantum mechanical methods1.It’s A Quantum World: The Theory of Quantum Mechanics2.Quantum Mechanics: Practice Makes Perfect3.The Many-Body Problem: From Many-Body to Single-Particle4.Quantum modeling of materials5.From Atoms to Solids6.Basic proper...