Soft Matter Physics, 2022B

About the course - General

• General

  
  
  General

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Topic outline

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• Course plan

  
  

  Course plan

  Week	Topic
  1	Introduction. Review of Statistical Mechanics. Second Virial Coefficient.
  2	Molecular interactions. Van der Waals forces. Mixing energy. Liquid structure: radial distribution function, Frenkel liquid (Tonks gas).
  3	Liquid structure theory. Distribution functions. Yvon-Born-Green hierarchy. Kirkwood closure. Density-density correlation function. Structure factor
  4	Ideal Polymers. Types of solvents: good, theta and bad. Ideal polymer models: Freely Jointed Chain, Freely Rotating Chain and Worm-like Chain. Entropic elasticity of an Ideal polymer. Confinement of an Ideal polymer to a tube.
  5	WLC continuation. Gaussian chain. Real chain: Flory theory, force-extension, Pincus blobs.
  6	Real Chain in a tube. Flory-Huggins theory of polymer solutions. Dilute, semi-dilute and dense regimes. Osmotic pressure.
  7	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.
  8	Polymer Dynamics. Brownian motion. Smoluchowski/Langevin equations. Smoluchowski time. Ballistic and diffusion regimes. Rouse model of polymer dynamics. Rouse modes.
  9	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.
  10	Segmental mean-square displacement dynamics in semidilute solutions. Collective diffusion coefficient in semidilute solutions. Dynamic (quasielastic) light scattering technique. Fluorescence Correlation spectroscopy.
  11	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.
  12	Self-assembled structures: dependence on surfactant head area and tail volume. Free energy of a membrane confined to a slit.
  13	Critical micelle concentration. Cases of spherical and rod-like micelles. Emulsions.

  
  
  
  

  Course plan

• שעות הרצאה/תרגול/קבלה

  
  

  שעות הרצאה/תרגול/קבלה

  Lecture: Sundays 10:00 - 13:00
  Reception hours: fix by email to okrichev@bgu.ac.il
  

  שעות הרצאה/תרגול/קבלה

• Lecture Notes and Problem Sets

  
  

  Lecture Notes and Problem Sets

  
  

  Lecture Notes and Problem Sets

  • Lecture Notes and Problem Set 1 (Due to May 15th) File
  • Student submissions of solutions to Problem Set 1 Assignment

    Upload your solutions to Problem Set 1 here

  • Solutions Set_1 File
  • Notes and Problem Set 2 (Due to June 19th) File
  • Student submissions of Problem Set 2 solutions Assignment

    Submit your solutions of Problem Set 2 here

  • Solutions Set 2 File
  • Problem Set 3 (due to July 3, 2022) File
  • Student solutions of Problem Set 3 Assignment

    Submit your solutions of Set 3 here

  • Solution Set 3 File

• מדיניות הקורס

  
  

  מדיניות הקורס

  • Home exercises (3-4 in total): obligatory submission
  • Final grade (default option): exam based on home exercises

  מדיניות הקורס

• Introduction. Review of Statistical Mechanics.

  
  

  Introduction. Review of Statistical Mechanics.

  Introduction. Review of Statistical Mechanics.

• Molecular interactions. Van der Waals interactions. Mixing energy. Second virial coefficient

  
  

  Molecular interactions. Van der Waals interactions. Mixing energy. Second virial coefficient

  Molecular interactions. Van der Waals interactions. Mixing energy. Second virial coefficient

• Liquid structure theory. Radial distribution function. Tonks gas/Frenkel liquid.Distribution functions. Yvon-Born-Green hierarchy. Kirkwood closure.

  
  

  Liquid structure theory. Radial distribution function. Tonks gas/Frenkel liquid.Distribution functions. Yvon-Born-Green hierarchy. Kirkwood closure.

  Liquid structure theory. Radial distribution function. Tonks gas/Frenkel liquid.Distribution functions. Yvon-Born-Green hierarchy. Kirkwood closure.

  • Lecture 2 Handwritten notes of 2020 Part 1 File
  • Lecture 2 Handwritten notes of 2020 Part 2 File
  • Matlab script running Rod1D_dsitr and calculating radial distribution function File
  • Matlab file calculating k-th neighbor distribution in Frenkel liquid

• 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.

  
  

  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.

  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.

  • Lecture 3 Handwritten notes of 2020 File
  • Lecture 4 Handwritten notes of 2020 File

• 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.

  
  

  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.

  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.

  • Lecture 5 Handwritten notes File

• Real Chain in a tube. Flory-Huggins theory of polymer solutions. Dilute, semi-dilute and dense regimes. Osmotic pressure.

  
  

  Real Chain in a tube. Flory-Huggins theory of polymer solutions. Dilute, semi-dilute and dense regimes. Osmotic pressure.

  Real Chain in a tube. Flory-Huggins theory of polymer solutions. Dilute, semi-dilute and dense regimes. Osmotic pressure.

  • Lecture 6 Handwritten Notes File

• 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.

  
  

  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.

  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.

  • Lecture 7 Handwritten notes File

• Polymer Dynamics. Brownian motion. Smoluchowski/Langevin equations. Smoluchowski time. Ballistic and diffusion regimes. Rouse model of polymer dynamics. Rouse modes.

  
  

  Polymer Dynamics. Brownian motion. Smoluchowski/Langevin equations. Smoluchowski time. Ballistic and diffusion regimes. Rouse model of polymer dynamics. Rouse modes.

  Polymer Dynamics. Brownian motion. Smoluchowski/Langevin equations. Smoluchowski time. Ballistic and diffusion regimes. Rouse model of polymer dynamics. Rouse modes.

  • Lecture 8 Handwritten notes File

• 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.

  
  

  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.

  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.

  • Lecture 9 Handwritten notes File

• Segmental mean-square displacement dynamics in semidilute solutions. Collective diffusion coefficient in semidilute solutions. Dynamic (quasielastic) light scattering technique. Fluorescence Correlation spectroscopy.

  
  

  Segmental mean-square displacement dynamics in semidilute solutions. Collective diffusion coefficient in semidilute solutions. Dynamic (quasielastic) light scattering technique. Fluorescence Correlation spectroscopy.

  Segmental mean-square displacement dynamics in semidilute solutions. Collective diffusion coefficient in semidilute solutions. Dynamic (quasielastic) light scattering technique. Fluorescence Correlation spectroscopy.

  • Lecture 10 Handwritten notes File

• 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.

  
  

  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.

  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.

  • Lecture 11 Handwritten notes File

• Self-assembled structures: dependence on surfactant head area and tail volume. Free energy of a membrane confined to a slit.

  
  

  Self-assembled structures: dependence on surfactant head area and tail volume. Free energy of a membrane confined to a slit.

  Self-assembled structures: dependence on surfactant head area and tail volume. Free energy of a membrane confined to a slit.

  • Lecture 12 Handwritten notes File

• Critical micelle concentration. Cases of spherical and rod-like micelles. Emulsions.

  
  

  Critical micelle concentration. Cases of spherical and rod-like micelles. Emulsions.

  Critical micelle concentration. Cases of spherical and rod-like micelles. Emulsions.

  • Lecture 13 Handwritten Notes File