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10820phys521000

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10820PHYS521000

統計力學一 Statistical Mechanics (I)

Instructor

  • Prof. Pochung Chen
  • R521, Physics building
  • pcchen {at} phys {dot} nthu {dot} edu {dot} tw

Teaching Assistent

  • 張宸瑜
  • a4201598@gmail.com
  • General II building, Room-B13

Textbooks

Main textbook

Other references

  • An introduction to statistical mechanics and thermodynamics by Robert H. Swendsen.

Time

  • R5R6R7.

Room

  • R019, Physics building.

Grade (Letter grade)

  • Exam-1 (35%)
  • Exam-2 (35%)
  • Homework (30%)

YouTube Playlists

LMS

Slack

Syllabus

Part-1

  • Chapter 1: What is statistical mechanics?

  • Chapter 3: Temperature and equilibrium

    • 3.1 The microcanonical ensemble
    • 3.2 The microcanonical ideal gas
    • 3.3 What is temperature?
    • 3.4 Pressure and chemical potential
    • 3.5 Entropy, the ideal gas, and phase-space refinements

  • Chapter 2: Random walks and emergent properties

    • 2.1 Random walk examples: universality and scale invariance
    • 2.2 The diffusion equation
    • 2.3 Currents and external forces
    • 2.4 Solving the diffusion equation

  • Chapter 5: Entropy

    • 5.1 Entropy as irreversibility: engines and the heat death of the Universe
    • 5.2 Entropy as disorder
    • 5.3 Entropy as ignorance: information and memory

  • Chapter 6: Free energies

    • 6.1 The canonical ensemble
    • 6.2 Uncoupled systems and canonical ensembles
    • 6.3 Grand canonical ensemble
    • 6.4 What is thermodynamics?
    • 6.5 Mechanics: friction and fluctuations
    • 6.6 Chemical equilibrium and reaction

Part-2

  • Chapter 7: Quantum statistical mechanics
    • 7.1 Mixed states and density matrices
    • 7.1.1 Advanced topic: density matrices.
    • 7.2 Quantum harmonic oscillator
    • 7.3 Bose and Fermi statistics
    • 7.4 Non-interacting bosons and fermions
    • 7.5 Maxwell–Boltzmann ‘quantum’ statistics
    • 7.6 Black-body radiation and Bose
      • 7.6.1 Free particles in a box
      • 7.6.2 Black-body radiation
      • 7.6.3 Bose condensation
    • 7.7 Metals and the Fermi gas
  • Chapter 26: Ideal quantum gases (R. H. Swendsen)
  • Chapter 27: Bose-Einstein statistics (R. H. Swendsen)
  • Chapter 28: Fermi-Dirac statistics (R. H. Swendsen)
  • Chapter 11: Abrupt phase transitions
    • 11.1 Stable and metastable phases
    • 11.2 Maxwell construction
  • Chapter 17: Phase transitions (R. H. Swendsen)
  • Chapter 12: Continuous phase transitions
  • Chapter 8: Calculation and model (James Sethna)
  • Chapter 30: Phase transition and the Ising model (R. H. Swendsen)

Exams

  • Exam-1
    • 2.1, 2.2, 2.3.
    • 3.1, 3.2, 3.3, 3.4, 3.41, 3.5
    • 5.1, 5.2, 5.3.
    • 6.1, 6.2, 6.3, 6.4.
    • HW1, HW2, HW3, HW4.
    • Lecture notes.
  • Exam-2
    • James Sethna
      • Chapter 7.1 to 7.6
      • Chapter 11.1, 11.2
    • R. H. Swendsen
      • Chapter 17, 26, 27, 28, 30

Weekly schedule

  • Week 1: 3/5/2020
    • Introduction
    • 3.1 The microcanonical ensemble
    • 3.2 The microcanonical ideal gas
    • Note
  • Week 2: 3/12/2020
    • 3.3 What is temperature?
    • 3.4 Pressure and chemical potential
    • 3.5 Entropy, the ideal gas, and phase-space refinements
    • Note
  • Week 3: 3/19/2020
    • 3.5 Entropy, the ideal gas, and phase-space refinements
    • 2.1 Random walk examples: universality and scale invariance
    • 2.2 The diffusion equation
    • Note
  • Week 4: 3/26/2020 YouTube Live
    • 5.1 Entropy as irreversibility: engines and the heat death of the Universe.
    • 5.2 Entropy as disorder.
    • 5.3 Entropy as ignorance: information and memory.
    • Note
    • HW1 due.
  • Week 5: 4/2/2020 (No class)
  • Week 6: 4/9/2020 YouTube Live
    • 6.1 The canonical ensemble.
    • 6.2 Uncoupled systems and canonical ensembles.
    • Note
    • HW2 due.
  • Week 7: 4/16/2020 YouTube Live
    • 6.3 Grand canonical ensemble.
    • 6.4 What is thermodynamics?
    • Note
  • Week 8: 4/23/2020 YouTube Live
  • Week 9: 4/30/2020 YouTube Live
  • Week 10: 5/7/2020
    • Exam-1
  • Week 11: 5/14/2020
    • Ideal quantum gases (Swendsen)
    • Note
  • Week 12: 5/21/2020
    • HW5 due.
    • Ideal quantum gases (Swendsen)
    • Bose-Einstein statistics
    • Note
  • Week 13: 5/28/2020
    • Fermi-Dirac statistics
    • Note
  • Week 14: 6/4/2020
    • Phase transitions
    • HW6 due.
    • Note
  • Week 15: 6/11/2020
    • Phase transitions
  • Week 16: 6/18/2020
    • HW7 due.
    • Exam-2

Homework

  • HW1, due on 3/26/2020
    • Pb 1.4 (v2) Stirling's formula.
    • Pb 3.6 (v2) Connecting two macroscopic systems.
    • Pb 3.10 (v2) Triple product relation.
    • Pb 3.11 (v2) Maxwell relation.
  • HW2, due on 4/9/2020
    • Pb 1.2 (v2) Probability distributions.
    • Pb 2.1 (v2) Random walks in grade space.
    • Pb 2.14 (v2) Modified random walk.
    • Pb 2.15 (v2) Diffusion and conserved particles.
    • Pb 5.4 (v2) Black hole thermodynamics.
  • HW3, due on 4/16/2020 4/23/2020.
  • HW4, due on 4/30/2020.
  • HW5, due on 5/21/2020.
  • HW6, due on 6/4/2020.
  • HW7, due on 6/18/2020.
10820phys521000.txt · Last modified: 2020/11/14 06:49 (external edit)

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