[Dr. Jayandren Rasaiah] Course Offerings -- (Schedule Variable)
Statistical Thermodynamics:
(CHY 673 / PHY 512)
(3 Credit Hours)
This course is offered to graduate students in chemistry, physics, biochemistry and chemical engineering.
Prerequisites: Undergraduate Physical Chemistry, Modern Physics or equivalent
Syllabus
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Thermodynamics of fluids and magnetic systems. Critical phenomena and exponents. Thermodynamics of surfaces. |
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The Ergodic Theorem. The Microcanonical, Canonical and Grand Canonical Ensembles. Fluctuations. |
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Applications to Non-interacting (ideal) Systems. Photons and Phonons. Einstein and Fermi-Dirac Statistics. The Langmuir Adsorption Isotherm. The Classical limit and Ideal Gases. Chemical Equilibria and Ideal Gases. Ideal Dipoles in an Electric Field. |
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Non-ideal fluids. The Configurational Partition Function. Conformal Potentials and the Law of Corresponding States. Distribution Functions g(r). Integral Equation approximations for g(r). Thermodynamic Perturbation Theory. |
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Cooperative phenomena. The Ising model. The Lattice Gas model and Binary alloys. Mean Field Theories. Landau-Ginsburg Theory. High and Low Temperature Expansions. Widom and Kadanoff Scaling. Intoduction to Renormalization group. |
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Time dependent phenomena. The Liouville Equation. Time Correlation functions and Onsager's Regression Hypothesis. The Fluctuation Dissipation Theorem and Linear Response Theory. Friction and the Langevin Equation. Chemical Reaction rates-Transition State Theory and Kramers' Theory. |
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Computer simulation of Simple Fluids and Magnetic systems. Introduction to Monte Carlo and Molecular dynamics.(time permitting) |
Texts
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Statistical Mechanics — Lecture notes J. C. Rasaiah |
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Statistical Mechanics of Phase Transitions, J. M.Yeomans (Oxford) |
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Introduction to Modern Statistical Mechanics; David Chandler, (Oxford). |
References
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Statistical Thermodynamics and Kinetic Theory; Charles E. Hecht (Dover) |
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An Introduction to Statistical Thermodynamics; T. L. Hill (Dover) |
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Statistical Mechanics; Donald McQuarrie (Harper and Row) |
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A Course in Statistical Mechanics by H. L. Friedman (Prentice Hall) |
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Statistical Mechanics; Kerson Huang, (John Wiley) |
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Statistical Physics I ⅈ M. Toda, R. Kubo, N. Saito and N. Hashitsume. (Springer Verlag) |
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Statistical Thermodynamics for Chemists and Biochemists; A. Ben Naim (Plenum) |
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Statistical mechanics of Strongly Interacting Systems: Encyclopedia of Chemical Physics and Physical Chemistry; J. C. Rasaiah |
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Lectures in Phase Transitions and Renormalization Group; N. Goldenfield (Adison- Wesley) |