Lect22 - PHYS 172 Modern Mechanics Lecture 22 Counting...

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Fall 2011 PHYS 172: Modern Mechanics Lecture 22 – Counting Statistics Read 12.1–12.2
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Announcements Exam 3 will be held on Wednesday, Nov. 16 , 8-9 pm in Elliott Hall. Material through chapters 8, 9, 10, and 11 will be covered. No lectures, labs, recitations, or homework the week of Thanksgiving . A practice exam 3 has been put in the Exams folder. HAPPY THANKSGIVING: No lectures, labs, recitations, or homework the week of Thanksgiving.
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Reversibility Weird Al Yankovic, Amish Paradise
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Need For Statistical Considerations Today: Counting Statistics Entropy Einstein Model and Counting Microstates 2 nd Law of Thermodynamics Irreversibility Fundamental Assumption of Statistical Mechanics
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5 Statistical issue: Thermal energy flow Happens all the time. Will this ever happen?
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6 A statistical model of solids Spring-ball model of solid
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7 Einstein s model of solid (1907) Each atom in a solid is connected to immovable walls Energy: 2 2 2 2 2 2 1 1 1 0 0 0 2 2 2 2 2 2 y x z vib s s x s y s z p p p K U k s U k s U k s U m m m ! " ! " ! " + = + + + + + + + + # $ # $ # $ # $ % & % & % & 3D oscillator: can separate motion into x,y,z components Each component: energy is quantized in the same way
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