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Under construction: This is the web site for the physical chemistry course Chm252/442. This course aims to provide theoretical context and practice applications for students interested in deepening their understanding of complex phenomena underlying laboratory physical chemistry, technology, and environmental processes.
Additional pages are accessible via the navigation bar on top, including reference to a graduate course on statitsical theory .
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Complex Processes in Nature and Laboratory
1. Introduction ( click to download pdf file)( ppt)
2. Complex dynamics( pdf)( ppt)
..........a) Example Climate (Logistic Map); ( pdf)( ppt)
..........b) Liapunov stability theory; ( pdf) ( ppt)
..........c) Fractal basins. ( pdf)
3. Replication and growth phenomena ( pdf, mcd)
4. Complex kinetics of chemical reactions ( pdf)
Autocatalytic reactions ( ppt),
self replication, fractals (pdf) ( ppt)
5.
Cellular automata ( pdf, mcd) ( ppt)
6. Thermodynamic states and their transformations ( ppt)
Molecular Boltzmann Chaos ( pdf)
Tutorials: Complex numbers ( pdf)
Fractal dimensions ( pdf)
Random numbers Monte Carlo ( pdf, mcd)
Differentiation, differentials (pdf),
Taylor expansion ( pdf)
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Information, Probability, Statistical Entropy
1. Chance and probability (pdf)
Probability & combinatorics (pdf) (ppt)
Probability & stochastic variables (ppt)
2. Information and probability (pdf)(ppt)
3. Partition of probability (pdf) (ppt)
4. Partition functions (pdf1, pdf2) (ppta,pptb)
Can & grand can partition functions (ppt)(ppt)
Multivariate molecular partition functions (pdf)(ppt)
Gibbs equilibrium, stability(pdf)(ppt)
5. Phase space evolution (Eta Theorem) (pdf)(ppt)
Tutorials: Combinatorics (pdf)
Random sampling (pdf), Binomial distribution (pdf)
Normal distribution (pdf)
Sequence (L8), (L9), (L10),(L10b), (L11), (L12), (L13),(L13ab), (L14c), (L15), (L16)
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Aspects of Classical and Quantum Dynamics
1. Work and other forms of energy ( doc)
2. Classical dynamics, Equation of motion ( pdf1, pdf2)
3. Chaos in classical scattering ( pdf)
Maxwell-Boltzmann velocity/energy distribution ( pdf)
4. Concepts in quantum mechanics ( pdf1, pdf2) ( pdf3);( ppt)
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Quantum models for rotations & vibrations ( pdf),( ppt)
Rot-Vib qu. partition function, diatomics ( ppt), ( ppt1), (ppt2)
6.
Fermion partition function (ppt)
Quantum Fermi Gas (pdf) (ppt),(L20a)(L20b)(L21)
Quantum Bose-Einstein gas (pdf)( ppt) (L22a)
Tutorials and programs ( doc)
Constants ( pdf) and units ( pdf)
Sequence ( L17),( L18) ,( L18a),( L19),( L20a)( L20b)( L21) (L22a)
- Thermodynamic Phenomenology
1. System and state properties (doc)
2.Fundamental Laws of Thermodynamics (doc)
1st Law of TD (pdf) (ppt)
Ideal-gas equation of state (pdf)(ppt)
2nd Law of TD, entropy&reversibility(pdf)(ppt),
3. Ideal gas laws and simple processes, (ppt)
Entropy and 2ndLTD (in progress) (pdf)(ppt)
Carnot, Kelvin/Clausius 2ndLTD (pdf)(ppt)
4. Equation of state of real gases (pdf),(ppt)
Van der Waals model (ppt)(ppt2)
Phase equilibria (ppt)
5 Thermodynamic potentials and equilibrium (pdf)
Free energy in chemical reactions (pdf)(ppt)
7.
Transitions in phase ()
Appendix III.1: Programs ()
Appendix III.2:Tutorials and codes ()
Sequence (L23),(L24)
- Applications
1. Cyclic processes and thermal engines(doc), (ppt)
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System and state properties (doc)
3. Atmospheric processes (pdf)
4. CO2 equilibrium, CCS sequestration (pdf)
- 1. Kinetic theory of ideal gases (doc)(pdf)
2. Molecular collisions (doc) (pdf)
Molecular chaos, Boltzmann distribution (doc)
3. Master, Fokker-Planck, and Diffusion equations (doc)
4. Random Walk and Brownian Motion (doc)
Random Walk (doc)
Fluctuating dissipative forces (doc)
5. Statistical Equilibrium (doc)
Summary (doc)
Appendix IV.1: Tutorials and programs (doc)
Disclaimer (Please read before using the presentations on this site)
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