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Systematic development of coarse-grained polymer models Patrick ...

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Table <strong>of</strong> Contents<br />

Abstract 1<br />

Chapter 1 Introduction 3<br />

1.1 Motivation ......................................... 3<br />

1.2 GeneralPolymerPhysics.................................. 3<br />

1.3 Progression<strong>of</strong>Coarse-<strong>grained</strong>Models .......................... 5<br />

1.3.1 Necessity<strong>of</strong><strong>coarse</strong>-graining........................... 5<br />

1.4 Problems with Current Models . . . ........................... 11<br />

1.5 Importance<strong>of</strong>NewModels ................................ 12<br />

Chapter 2 Methodology 13<br />

2.1 StatisticalMechanics.................................... 13<br />

2.2 BrownianDynamics .................................... 14<br />

2.2.1 Stochastic differential equation . . ....................... 15<br />

2.2.2 Integrationmethods ............................... 15<br />

Chapter 3 Force-extension Behavior 21<br />

3.1 SystemDefinition...................................... 21<br />

3.2 DecoupledSprings ..................................... 22

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