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PHY 418: Statistical Mechanics I
Prof. S. Teitel stte@pas.rochester.edu ---- Spring 2020
April
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1
lecture 20
The quantized harmonic oscillator as bosons, the Debye model for the specific heat of a solid
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2
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3
MIDTERM EXAM, 10:30 - 12:30 pm
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4
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5
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6
lecture 21
Black body radiation, the quantum ideal gas, standard functions, pressure, particle density, energy
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7
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8
lecture 22
Leading quantum correction to the ideal gas equation of state, the degenerate Fermi gas, Sommerfeld model for conduction electrons in a metal, Fermi energy, ground state energy, specific heat
Supplement
The Sommerfeld expansion for a degenerate Fermi gas
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9
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10
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11
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12
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13
lecture 23
Chemical potential of a degenerate Fermi gas at finite temperature, Pauli paramagnetism
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14
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15
lecture canceled
HW #6 due
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16
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17
lecture 24
The ideal Bose gas, Bose-Einstein condensation in an ideal gas of free bosons
make-up lecture, 10:25 - 11:40 am
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18
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19
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20
lecture 25
Classical spin models, constant magnetization vs constant magnetic field ensembles, broken symmetry and the possibility for a phase transition in the thermodynamic limit
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21
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22
lecture 26
Ising phase diagram, mean-field solution of the Ising model
HW #7 due
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23
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24
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25
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26
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27
lecture 27
Mean-field solution and critical exponents of the Ising model
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28
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29
lecture 28
Maxwell construction, lattice-gas model, exact solution of the one dimensional Ising model
Supplemental Notes
Fluctuations, correlation length, Landau theory, Landau-Ginzburg approach, corelation function, upper critical dimension
classes end
HW #8 due
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30
reading period begins
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