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Lecture 23 — The Maxwell Distribution Chapter 7, Monday March 3 rd

Lecture 23 — The Maxwell Distribution Chapter 7, Monday March 3 rd. Recap: density of states in k -space Single-particle density of states in energy Maxwell distribution of speeds in a classical gas Using the distribution function. Reading: Assigned problems, Ch. 7 : 6, 8, 12, 14, 16

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Lecture 23 — The Maxwell Distribution Chapter 7, Monday March 3 rd

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  1. Lecture 23 — The Maxwell Distribution Chapter 7, Monday March 3rd • Recap: density of states in k-space • Single-particle density of states in energy • Maxwell distribution of speeds in a classical gas • Using the distribution function Reading: Assigned problems, Ch. 7: 6, 8, 12, 14, 16 Homework 7 due next Friday Exam 2 on Wed. after spring break Review – Monday after spring break (in class)

  2. Particle (standing wave) in a box Lz Ly Lx Boltzmann probability:

  3. Density of states in k-space kz ky kx

  4. Convert to spherical coordinates dk kz k dVk k ky k k kx

  5. In 1D and 2D kdq dk 1D k dk k 2D

  6. Maxwell speed distribution

  7. The molecular speed distribution function

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