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PHY 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu ---- Spring 2020
February
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1
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2
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3
lecture 4
Helmholtz and Gibbs free energies, enthalpy, the grand potential, reservoirs, extremum principles for free energies, Maxwell relations
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4
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5
lecture 5
Response functions and relations between them, stability constraints on response functions
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6
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7
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8
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9
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10
lecture 6
Curvature of free energies and stability requirements for response functions, heat engines, thermodynamic efficiency, Carnot cycle
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11
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12
lecture 7
Kinetic theory of ideal gas, Maxwell velocity distribution, Ergodic hypothesis, statisitcal ensembles, density matrix
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13
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14
HW #1 due
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15
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16
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17
lecture 8
Liouville's theorem, microcanonical ensemble, density of states and connection to entropy
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18
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19
lecture 9
Entropy of the ideal gas and problem of extensivity, entropy of mixing and Gibbs paradox, indistinguishable particles
make-up lecture 9am BL 270
lecture 10
The canonical ensemble and the canonical partition function, Helholtz free energy and the canonical partition function, energy fluctuations, equivalence of canonical and microcanonical ensembles in the thermodynamic limit
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20
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21
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22
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23
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24
lecture 11
Average energy vs most probably energy, Stirling's formula, factoring the canonical partition function for non-interacting objects, the ideal gas in the canonical ensemble, Maxwell velocity distribution revisited
HW #2 due
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25
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26
lecture 12
The virial theorm, the equipartition theorem, elastic vibrations of a solid and the law of Dulong and Petit, paramagnetism of classical spins and the Curie law of paramagnetic susceptibility
make-up lecture 9am BL 270
lecture 13
A note about the proper choice of coordinates, the grand canonical ensemble and partition function
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27
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28
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29
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