**[Cr:4, Lc:3, Tt:1, Lb:0]**

Introduction to polymers, coarse-graining in polymers. Brownian motion and stochas-tic processes, Ornstein-Uhlenbeck process, FluctuationDissipation theorem, Correlation and response functions,Fokker-Planck and Smoluchowski equation and its application. Interacting Brownian particleshydrodynamic interactions and its origin. Review of equi-librium statistical mechanicscanonical and microcanonical ensembles.

- Statics of single chain polymers end to end distance, distribution of end to end distance in models of polymer (freely jointed chain, freely rotating chain, Worm-like chain model and Gaussian chain).
- Dynamics of single chain Rouse model, Zimm model, density modes and dynamical scaling. Viscoelasticity origin of viscoelasticity, constitutive relations, microscopic stress tensor.
- Statics and Dynamics of many chain systems: Thermodynamics of mixing Entropy and free energy of mixing, Flory-Huggins theory, classi cation of good and poor solvents, Gaussian approximation to concentration uctuation, scaling theory statics.
- Dynamics of the density modes wave-vector dependent relaxation times. scaling theory dynamics.
- Rod like polymers: rotational and translational di usion. Dynamic light scattering of rod like polymers. Onsager theory of phase transition isotropic and nematic order.
- Experimental tools in polymer physics intermediate scattering functions, static and dynamic structure factors.

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- Pierre-Gilles de Gennes, Introduction to Polymer Dynamics (Lezioni Lincee), Cambridge University Press, 9 1990.
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- Pierre-Gilles Gennes, Scaling Concepts in Polymer Physics., Cornell University Press, 1 edition, 11 1979.
- Crispin Gardiner, Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer Series in Synergetics), Springer, softcover reprint of hardcover 4th ed. 2009 edi-tion, 10 2010.
- N. G. Van Kampen, Stochastic Processes in Physics and Chemistry, Third Edition (North-Holland Personal Library), North Holland, 3 edition, 5 2007.