Soft Matter Physics, 2022B
Course: Soft Matter Physics, 2022B
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Course plan
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שעות הרצאה/תרגול/קבלה
Lecture: Sundays 10:00 - 13:00
Reception hours: fix by email to okrichev@bgu.ac.il -
Lecture Notes and Problem Sets
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Upload your solutions to Problem Set 1 here
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Submit your solutions of Problem Set 2 here
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Submit your solutions of Set 3 here
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מדיניות הקורס
- Home exercises (3-4 in total): obligatory submission
- Final grade (default option): exam based on home exercises
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Introduction. Review of Statistical Mechanics.
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Molecular interactions. Van der Waals interactions. Mixing energy. Second virial coefficient
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Liquid structure theory. Radial distribution function. Tonks gas/Frenkel liquid.Distribution functions. Yvon-Born-Green hierarchy. Kirkwood closure.
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Radial Distribution function (continuation). Density-Density correlation function. Structure Factor. Polymers: Types of solvents: good, theta and bad. Ideal polymer models: Freely Jointed Chain. Entropic elasticity of an Ideal polymer.
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Confinement of an Ideal polymer to a tube.Freely Rotating Chain and Worm-like Chain. Gaussian chain. Real chain: Flory theory, force-extension, Pincus blobs.
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Real Chain in a tube. Flory-Huggins theory of polymer solutions. Dilute, semi-dilute and dense regimes. Osmotic pressure.
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Debye-Huckel theory of screening in electrolytes. Overlap concentration. Screening in polymer solutions: Edwards' theory. Mesh size/screening length: scaling theory. Osmotic pressure of semidilute solutions. Coil size in semidilute solutions.
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Polymer Dynamics. Brownian motion. Smoluchowski/Langevin equations. Smoluchowski time. Ballistic and diffusion regimes. Rouse model of polymer dynamics. Rouse modes.
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Rouse model: segmental mean square displacement. Hydrodynamic interactions. Zimm model. Dynamics of semidilute solutions: individual vs. collective dynamics. Reptation: tube, tube time, individual diffusion coefficient.
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Segmental mean-square displacement dynamics in semidilute solutions. Collective diffusion coefficient in semidilute solutions. Dynamic (quasielastic) light scattering technique. Fluorescence Correlation spectroscopy.
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Fluorescence Correlation spectroscopy (FCS). Scanning FCS. Surfactants, spherical and rod-like micelles, bilayers. Interactions between micelles. Interactions within soap films: Newton and black films. Free energy of a bilayers.
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Self-assembled structures: dependence on surfactant head area and tail volume. Free energy of a membrane confined to a slit.
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Critical micelle concentration. Cases of spherical and rod-like micelles. Emulsions.