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statmechlecture 1.49.03 AM

3 positions q i and 3 momentums p i per particle so

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3 positions, q i and 3 momentums, p i per particle. So in all (3+3) X 10 23 microvariables. Macrostate described by 3 quantities T, V, N. Example 1: Gas in a Box
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Microstates and Macrostates The microstate described a particular configuration of the chain on the lattice. If there are N links on the chain, there are N variables. Macrostate described by just the thermodynamic radius R of the chain. Example 2: Polymer Chain
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Microstates and Macrostates The gas binds on the binding sites on the substrate with favorable energy. The microstate described by a particular binding configuration of the gas on the substrate. Macrostate described by just the average number <N> of particles bound to the substrate. Example 3: Gas Adsorption
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Goal There are many microstates . We get experimentally reproducible behavior from only a few macrovariables . If that macrovariable is, say, E, define where, p i is the probability that the system is in state i .
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