See past exam #2's

Ensembles

• ps6 #2a

Distribution of specie(s) on lattice(s)

• 2001 #5

• 2002 #3a #5

 2003 #3 

• 2003 #4

• 2005 #1a #5a

Fluctuations

2000 #1

2001 #2

2002 #1b

2003 #2a

2004 #2c

2005 #2d

ps4 1-41 1-43 1-44

 ps5 3-18

• ps5 3-24

• ps5 #3b,c

ps5 #5c,d

Maximization

• ps4 1-49 1-50 1-51 2-2

Ideal gas

2001 #2b #4a

ps5 4-8

Heat capacity

2000 #2

2003 #2

2004 #3a

2005 #3b,c

ps4 2-15

ps6 #5a

Energy eigenvalues

2005 #4

Microstates

• 2000 #2a

2004 #1a,c,d #2

Entropy

• 2000 #2b

2000 #3a,c

2001 #4d #5

2002 #5b,c

2003 #1a #4

2004 #3d

ps4 2-5 2-11

ps5 4-8, 5-4, #2

ps6 #3 #5b

Bosons, Fermions

• 2004 #1c,d

Probability distribution

2003 #1b

ps5 #1

Degeneracy

• 2000 #3b

• 2001 #3a

• 2004 #3d

2005 #3 NICE

• ps4 1-22

ps5 4-12, 5-4, #4

 ps6 #1

Fraction of particles

2000 #2b #3c

2004 #4c

ps3 #6

Fermi-Dirac, Bose-Einstein, Maxwell-Boltzmann

2001 #4c

2003 #1c

2005 #1b,c

ps5 4-8

Characteristic potential

• 2001 #1a

2004 #2a

2005 #2a

• 2005 #5b

ps5 #2 #4 #5b

Partition function

• 2001 #1b #3b

2002 #1a #2

• 2002 #3

2003 #3a,b #5

2004 #2b #4a,b

2005 #2b,c

ps5 4-12, #3

• ps6 #4

Chemical potential

2001 #3c #4b

2002 #3c

2004 #4b

 2005 #5c

Thermodynamic variables

• 2001 #1c

2004 #3b

ps4 2-8, 2-10, 2-11, 2-13, 2-14

ps5 3-8, 3-10, #1 #2 #3

ps6 #4b

Second law

2002 #2a

ps4 2-1

ps6 #2b,c

Third law

2002 #2b

• ps6 #1

Average energy

2004 #1b

Crystal vibrations

• 2004 #3c

• 2004 #4

• ps4 1-56 2-15

• ps6 #5

Gas

ps6 #4

Vapor pressure

2004 #5a,c

ps3 #1 #2 #3 #4 #5 #7 #9