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Topics discussed in class are selected from the list below. Introductory texts, lecture notes, and classroom presentations (L##) are down-loadable by activating highlighted links in parentheses. For example, "pdf" and "ppt" stand for text and power-point files that can be read with the Adobe Acrobat Reader. Additional links point to auxiliary files such as tutorials, animation media, or code files.
- Complex Processes in Nature and Laboratory
1. Non-linear system dynamics, (pdf) (ppt)
Examples (climate, planetary motion) (pdf)(ppt)
2. Order and Chaos, deterministic vs. stochastic predictability,
1D dynamics, phase space orbits (ppt)
3. Non-linear dynamics in nature and their modeling
Mathematical model (logistic map) (pdf) (ppt),
Stability criteria, stationary states (pdf) (ppt)
4. Replication and growth phenomena (pdf, mcd)
Population dynamics(pdf)
5. Complexity and self-organization in chemical reactions (pdf)(ppt)
Autocatalytic chemical reactions (ppt),
Self similarity, replication, fractals (pdf) (ppt)
6. Cellular automata and fractal structures (pdf, mcd) (ppt). (pdf)
Tutorials::Probability (ppt), moments (pdf)
Monte Carlo sampling (ppt)
Fractal dimension (pdf)
Lecture Sequence (L1),(L2),(L3),(L4),(L5)
- Aspects of Classical Dynamics
1. Work and other forms of energy (doc)(ppt)
2. Classical dynamics, Equation of motion (pdf1, pdf2)
3. Chaos in classical scattering (pdf)
Maxwell-Boltzmann velocity/energy distribution (pdf)
Tutorials and programs (doc)
Constants (pdf) and units (pdf)
Lecture Sequence (L5a),
- Kinetics and Transport
1. Random Walk and Brownian Motion (doc)(ppt)
Random Walk (doc)(ppt)
2. Master, Fokker-Planck, and Diffusion equations (doc)(ppt)
3. Molecular collisions (pdf),(ppt) (ppt)
Molecular chaos, Boltzmann distribution(doc)(pdf)
Fluctuating dissipative forces (doc)(pdf)(ppt)
Tutorials and Programs:
Differentiation, differentials (pdf),
Taylor expansion (pdf)
Stirling's formula (pdf)
Spherical coordinates (pdf)
Units & Constants (pdf)
Lecture Sequence (L6), (L7), (L8), (L9), (L10)
- Thermodynamic Phenomenology
1. System and state properties (doc)
2.Fundamental Laws of Thermodynamics (doc)
1st Law of TD (pdf) (ppt)
2nd Law of TD, entropy & reversibility(pdf)(ppt), (ppt)
3. Ideal gas laws and simple processes, (ppt)(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 ()
Lecture Sequence (L11), (L12), (L13)
Auxiliary
(LN6), (LN6a7)(LN623), (LN6a723)
- Fundamentals of Statistical Mechanics (Micro-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)
Lecture Sequence (L8), (L9), (L10),(L10b), (L11), (L12), (L13), (L13ab), (L14c), (L15), (L16)
- Aspects of Quantum Statistics
1. Concepts in quantum mechanics (pdf1,pdf2) (pdf3);(ppt)
2.
Quantum models for rotations & vibrations (pdf),(ppt)
Rot-Vib qu. partition function, diatomics(ppt)
3. Fermion partition function (ppt)
Quantum Fermi Gas (pdf) (ppt)
Quantum Bose-Einstein gas (pdf)(ppt)
Tutorials and programs (doc)
Constants (pdf) and units (pdf)
Lecture Sequence (L17), (L18),(L19),
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