Stochastic processes in polymeric fluids
Tools and Examples for Developing Simulation Algorithms
Description
This book consists of two strongly interwoven parts: the mathematical theory of stochastic processes and its applications to molecular theories of polymeric fluids. The comprehensive mathematical background provided in the first part should be equally useful in many other branches of engineering and the natural sciences. As a benefit from the second part one gains a more direct understanding of polymer dynamics, one can more easily identify exactly solvable models, and one can develop efficient computer simulation algorithms in a straightforward manner. In view of the many examples and exercises, on the one hand, and the numerous applications to problems from the front line of science, on the other hand, this volume may be used equally well as a basic text book or as an up-to-date reference book.
The Computer Manifesto
A SPECTER is haunting the scientific world - the specter of computers. All the powers of traditional science have entered into a holy alliance to exorcise this specter: puristic theoreticians and traditionalistic experimentalists, editors and referees of prestigious journals, philosophers of science and mathematicians. Where is a pioneering computer simulation that has not been decried as unreliable by its opponents in power?
FTP-Server
All the FORTRAN programs listed as solutions to exercises can be obtained from the directory external page /pub/chemistry/polysim at ftp.springer.de
Corrigenda and Addenda
Table of Contents
1. Stochastic Processes, Polymer Dynamics, and Fluid Mechanics
1.1 Approach to Kinetic Theory Models
1.2 Flow Calculation and Material Functions
Part I: Stochastic Processes
2. Basic Concepts from Stochastics
2.1 Events and Probabilities
2.2 Random Variables
2.3 Basic Theory of Stochastic Processes
3. Stochastic Calculus
3.1 Motivation
3.2 Stochastic Integration
3.3 Stochastic Differential Equations
3.4 Numerical Integration Schemes
Part II: Polymer Dynamics
4. Bead-Spring Models for Dilute Solutions
4.1 Rouse Model
4.2 Hydrodynamic Interaction
4.3 Nonlinear Forces
5. Models with Constraints
5.1 General Bead-Rod-Spring Models
5.2 Rigid Rod Models
6. Reptation Models for Concentrated Solutions and Melts
6.1 Doi-Edwards and Curtiss-Bird Models
6.2 Reptating-Rope Model
6.3 Modified Reptation Models
Landmark Papers and Books
Solutions to Exercises