Weeks | Topics |
1 |
Chapter 1 - Fundamental Concepts in the Statistical Physics:Laws of Thermodynamics, Reasons for statistical approach, Macroscopic and Microscopic States, Statistical weight in a macroscopic state.
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Termodynamical equilibrium of an isolated system, Statistical ensembles, Ergodic Principle, Liouville’s Theorem.
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3 |
Chapter 2- Classical statistical mechanics: Microcanonical ensemble, Gibbss paradox, micro-canonical ensemble in the ideal gases and harmonic oscillators.
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4 |
Einstein model in the microcanonical ensemble. Chapter 3-Canonical Ensemble: Partition function, Canonical ensemble in the ideal gases and harmonic oscillators.
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5 |
Einstein and Debye models in the canonical ensemble, Statistics of paramagnetism.
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6 |
Chapter 4- Statistical Mechanics of Gases: Monotomic ideal gases, Diatomic ideal gases.
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7 |
Equipartition Theorem, Real gases, Maxwell-Boltzmann velocity distribution.
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Chapter 5- Grand Canonical Ensemble: Application: Ideal mono-atomic gases.
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9 |
Midterm
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10 |
Chapter 6- Quantum Statistical Mechanics: Quantum regime, Quantum symmetry conditions, Quantum-mechanical ensemble theory: the density matrix.
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11 |
Quantum statistics for microcanonical, canonical and grand canonical ensembles, The density matrix and the partition function of a system of free particles.
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Example: An electron in a magnetic field, A free particle in a box, a linear harmonic oscillator. Statistics of occupation number.
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13 |
Chapter 7- İdeal Fermi System: Thermodinamic behavior of an ideal Fermi gas, The electron gas in metals, Statistical equilibrium of white dwarf stars.
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14 |
Chapter 8- İdeal Bose Systems: Thermodynamic behavior of an ideal Bose gas, Photon gazı-the black-body radiation, Bose-Einstein condensation.
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