MAT 404 / 518 Polymer Physics

Spring '09-'10

 

Intended Audience: Seniors/graduate students who are enthusiastic about understanding the physics of polymers. Only a basic working knowledge of calculus, chemistry and physics is assumed.

Aim: To develop the fundamental concepts required to understand polymers melts, solutions and gels in terms of both structure and dynamics.

Instructor: Canan Atýlgan – office: 2058; phone: 9523; e-mail: canan@sabanciuniv.edu

Assistant: TBA – office: TBA; phone: TBA; e-mail: ???@sabanciuniv.edu

Hours: Lecture – Tue. 8:40 – 10:30 (L035), Wed. 12:40 – 13:30 (L035); Discussion – Wed. 16:40 – 17:30; Office – see schedule on my door

Textbook: Rubinstein & Colby, Polymer Physics (2003). ISBN: 0-19-852059-X

Evaluation will be based two term exams (25 % each), final (30 %), assignments (10 %) and participation (10 %).

 

COURSE OUTLINE:

Week 1: Introduction: Definition, structure, phases and weight of polymers.

Week 2: Determination of molecular weight (to be moderated by Özge Malay).

Week 3: Ideal chains: Definition of chain conformation; chain dimensions and their distributions. Free energy of an ideal chain.

Week 4: Real chains: Excluded volume and self-avoiding walks. Deformation of chains. Temperature effects.

Week 5: Thermodynamics of mixing: Energy – entropy of mixing. Phase diagrams. Dilute solutions.

Week 6: Polymer solutions: Type of solvents. Osmotic pressure.

Week 7: Midterm I (Mar. 30) Definition of polymer networks.

Week 8: Random branching and gelation: Percolation. Branching with and without gelation. Mean-field and scaling models of gelation.

Week 9: Networks and gels: Rubber elasticity. Swelling.

____________________________________________________Spring break

Week 10: Viscoelasticity.

Weeks 11: Introduction to dynamics. Definition of relaxation phenomena.

Week 12: Midterm II (May 11)

Week 13: Dynamics of unentangled polymers: Rouse and Zimm models.

Week 14: Dynamics of entangled polymers. Reptation in melts and semi-dilute solutions.

 

 

Course Organization:

o    Weekly problem assignments.

o    Occasionally, usage of simulations to reinforce the concepts.

o    Possible quizzes during discussion/recitation hours