Stochastic Processes in Polymeric Fluids

1. Front Matter

   Pages I-XXIV

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2. Stochastic Processes, Polymer Dynamics, and Fluid Mechanics

   1. Stochastic Processes, Polymer Dynamics, and Fluid Mechanics

      • Hans Christian Öttinger

      Pages 1-15

3. Stochastic Processes

   1. Front Matter

      Pages 17-18

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   2. Basic Concepts from Stochastics

      • Hans Christian Öttinger

      Pages 19-80

   3. Stochastic Calculus

      • Hans Christian Öttinger

      Pages 81-148

4. Polymer Dynamics

   1. Front Matter

      Pages 149-150

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   2. Bead-Spring Models for Dilute Solutions

      • Hans Christian Öttinger

      Pages 151-224

   3. Models with Constraints

      • Hans Christian Öttinger

      Pages 225-256

   4. Reptation Models for Concentrated Solutions and Melts

      • Hans Christian Öttinger

      Pages 257-291

5. Back Matter

   Pages 292-363

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A SPECTER is haunting the scientific world-the specter of com­ puters. All the powers of traditional science have entered into a holy alliance to exorcise this specter: puristic theoreticians and tradition­ alistic 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? The Computer Manifesto As a result of the enormous progress in computer technology made during the last few decades, computer simulations have become a very powerful and widely applicable tool in science and engineering. The main purpose of this . book is a comprehensive description of the background and possibilities for the application of computer simulation techniques in polymer fluid dynamics. Mod­ eling and understanding the flow behavior of polymeric liquids on the kinetic theory level is not merely a great intellectual challenge but rather a matter of immense practical importance, for example, in connection with plastics manu­ facture, processing of foods, and movement of biological fluids. The classical computer simulation technique for static problems in statis­ tical mechanics is the Monte Carlo method developed in the early 1950s. The name of this method underlines how unusual and strange the idea of using ran­ dom numbers in the exact sciences is at first glance. However, the Monte Carlo method is a rigorous and efficient means for evaluating moments and static spa­ tial correlation functions for given probability distributions.

• Polymeric Fluids
• algorithm
• algorithms
• chemistry
• dynamics
• fluid mechanics
• mechanics
• polymer
• simulation
• stochastic calculus
• stochastic processes
• stochastics

• Institute of Polymers, Swiss Federal Institute of Technology Zurich, Zurich, Switzerland

  Hans Christian Öttinger

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