If you do not know some of the terms below, just leave blanks. The
answers are *not* graded!

- 1.
- Calculate entropy for the states
*M*=-3,*M*=-1,*M*=1 and*M*=3 for three spin Ising model. - 2.
- Calculate entropy for the states
*M*=1 and^{2}*M*=9 for the three spin Ising model. Which state is more probable at high temperatures? Why?^{2} - 3.
- Which of the following quantities are extensive and which are
intensive:
- (a)
- Chemical potential
- (b)
- Osmotic pressure
- (c)
- Free energy
- (d)
- Concentration

- 4.
- Gibbs postulate means that:
- (a)
- All ensembles are equivalent
- (b)
- All points in the phase space are equivalent
- (c)
- All points in the microcanonical ensemble are equivalent
- (d)
- The energy is conserved

- 5.
- There is a mistake in the sketch of phase space
of harmonic oscillator in the lecture notes:

Find it.

© 1997

Wed Sep 3 22:59:36 EDT 1997