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8.575

Statistical Thermodynamics of Complex Liquids

Graduate · Historical course

Spring 2004

Topics

  • The Structure Factor
  • Coherent and Incoherent Scattering
  • Density Auto-correlation Function: G(r)
  • Time-dependent Extension: G(r, t)
  • Dynamic Structure Factor: S(Q, ω)
  • Relation Between the Dynamic Structure Factor and Inelastic Scattering
  • Small Angle Scattering of Neutrons
  • Light and X-Ray Scattering–Static and Dynamic
  • Debye Theory of Scattering from Two-Component Porous Media
  • Models for Debye Correlation Function for the Bulk Contrast Case
  • Debye Correlation Function for the Interface Contrast Case
  • Asymptotic Model Applicable to Analysis of Large Q Data
  • Canonical Ensemble
  • Chemical Potential and the Grand Canonical Ensemble
  • Thermodynamic Definition of Static Pair Correlation Function
  • Energy Equation of States
  • Virial Equation of States
  • Virial Expansion
  • Potential of Mean Force
  • PY Solution for Hard Spheres
  • Thermodynamic Perturbation Theory
  • HNC Approximation
  • One-Component Macroion Theory (OCM)
  • Generalized One-Component Macroion Theory (GOCM)
  • Hard Spheres and Sticky Hard Spheres
  • Hard Sphere and Sticky Hard Sphere Systems
  • Debye-Hückel Approximation
  • The Mean Spherical Approximation
  • Ion Condensation of Planar Surfaces
  • Ion Condensation on Cylindrical Polyelectrolytes
  • Ion Distribution around Spherical Charged Particle

Readings

  • Chen, S. H. “Small Angle Neutron Scattering Studies of the Structure and Interaction in Micellar and Microemulsion Systems_._” Ann. Rev. Phys. Chem . 37 (1986): 351-399.
    Listed reading
  • ———. “Structure of Liquids.” Chapter 2 in Physical Chemistry-An Advanced Treatise – Liquid State _._ Vol. 8 Part A. Edited by Eyring, Henderson, and Jost. San Diego: Academic Press, 1971, pp. 85-155. ASIN: B000DT8NES.
    Listed reading
  • Chen, S. H. “Structure and Dynamics of Strongly Interacting Colloids and Supramolecular Aggregates in Solution.” NATO ASI 369 (1992): 659-689.
    Listed reading
  • Hansen, J-P., and Ian R. McDonald. Theory of Simple Liquids. 2nd ed. San Diego: Academic Press, 1990. ISBN: 9780123238528.
    Listed reading
  • Egelstaff, P. A. An Introduction to the Liquid State . 2nd ed. New York: Oxford University Press, 1994. ISBN: 9780198517504.
    Listed reading
  • Friedman, H. L. A Course in Statistical Mechanics. New York: Prentice Hall, 1985. ISBN: 9780131845657.
    Listed reading
  • Baxster, R. J. “Distribution Functions.” Chapter 4 in Physical Chemistry-An Advanced Treatise – Liquid State . Vol. 8 Part A. Edited by Eyring, Henderson and Jost. San Diego: Academic Press, 1971, pp. 267-333. ASIN: B000DT8NES.
    Listed reading
Sources