AGENDA

BASIC NOTIONS AND SPECIAL ASPECTS OF STATISTICAL PHYSICS
Classical Statistical Physics 4 h Statistical Ensembles 2 h 1st Order Transitions 2 h 2nd Order Transitions 2 h
ADVANCED TOPICS OF SOFT-CONDENSED MATTER ON SURFACES AND INTERFACES
Theory of Wetting and Surface Critical Phenomena 4 h Simulations of Phase Transitions in Constrained Geometry 2 h Finite Size Effects in Thin Film Simulations 2 h Kinetic Roughening: Theory and Simulation 4 h Superstructure Formation 2 h Glass Transition 4 h Polymers at Surfaces and Interfaces 4 h Driven Diffusive Systems 4 h Granular Matter 2 h Nanoscopic Magnets 4 h
SIMULATIONAL METHODS AND ALGORITHMS
Introduction to Monte Carlo 2 h Introduction to Molecular Dynamics 4 h Langevin Methods 2 h Thermodynamic Integration, Histograms, and All That 2 h Accelerated Algorithms I 2 h Accelerated Algorithms II 2 h Mesoscopic Simulation Methods including Hydrodynamics 4 h

BASIC NOTIONS AND SPECIAL ASPECTS OF STATISTICAL PHYSICS

Classical Statistical Physics 4 h
 

Generalized Boltzmann Distribution Intensive vs. Extensive Variables Equivalence of Ensembles Computational Problem  Importance Sampling Fluctuation Relations Self Averaging, Efficiency of Linear Response vs. Fluctuation Relation Linear Response Theory, Transport Coefficients, Green-Kubo Relations

 

Statistical Ensembles 2 h
Constant Pressure Grand-Canonical Widom Particle Insertion Method  Gibbs
1st Order Transitions 2 h
Hysteresis and Thermodynamic Integration Finite Size Scaling Measurement of Interfacial Tension
2nd Order Transitions 2 h
Scale Invariance, Lack of Length Scales Power Laws, Critical Exponents Finite Size Scaling Data Analysis Mean-Field-like Transitions Theta Collapse Dynamic Exponents

ADVANCED TOPICS OF SOFT-CONDENSED MATTER ON SURFACES AND INTERFACES

Theory of Wetting and Surface Critical Phenomena 4 h
 

Discussion of the 4-Dimensional Phase Diagram (Bulk and Surface Coupling, Bulk and Surface Field) Mean Field Approach Correlation Lengths Bulk vs. Surface Criticality Fluctuations and Capillary Waves Interface Delocalization Transitions Interface Tension and Line Tension

Simulations of Phase Transitions in Constrained Geometry 2 h

Finite Size Effects in Thin Film Simulations 2 h

Kinetic Roughening: Theory and Simulation 4 h

Superstructure Formation 2 h
 

Group Theory for Pedestrians, Definition of Order Parameters Adsorbed Monolayers Lattice Gases vs. Continuum Models

Glass Transition 4 h
 

General Phenomenology and Mode Coupling  Surface Effects
Polymers at Surfaces and Interfaces 4 h Driven Diffusive Systems 4 h Granular Matter 2 h Nanoscopic Magnets 4 h

 

SIMULATIONAL METHODS AND ALGORITHMS

Introduction to Monte Carlo 2 h
 

Markov Chains, Markov Theorem Ergodicity  Detailed Balance  Accuracy, Error Analysis

Introduction to Molecular Dynamics 4 h
 

Continuous Potentials vs. Hard Spheres Symplectic Integrators Virial Theorem Pair Correlation Function, Structure Factor  Ergodicity MD at Constant Pressure Nose-Hoover Thermostat Constraints Multiple Time Step Methods Nonequilibrium MD

Langevin Methods 2 h
 

Formal Background, Langevin Equation vs. Fokker-Planck Equation  Implementation Stochastic Dynamics and Brownian Dynamics Force Biased Monte Carlo

Thermodynamic Integration, Histograms, and All That 2 h
 

Thermodynamic Integration Single-Histogram Analysis Multiple-Histogram Analysis Multistage Sampling Multicanonical Ensemble Simulated Tempering Parallel Tempering

Accelerated Algorithms I 2 h
Swendsen-Wang, Wolff Multigrid Event Driven / n-Fold Way
Accelerated Algorithms II 2 h
Fourier Accelerated Voter's Hyper MD Polymers: Dimerization Pivot / SAW problem CBMC, End-bridging

Mesoscopic Simulation Methods including Hydrodynamics 4 h
 

Dissipative Particle Dynamics Cell Dynamics Lattice Boltzmann Direct Simulation Monte Carlo

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