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Up: Microscopic and Macroscopic States. Previous: Time Evolution and Ergodicity


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

Calculate entropy for the states M=-3, M=-1, M=1 and M=3 for three spin Ising model.
Calculate entropy for the states M2=1 and M2=9 for the three spin Ising model. Which state is more probable at high temperatures? Why?
Which of the following quantities are extensive and which are intensive:
Chemical potential
Osmotic pressure
Free energy

Gibbs postulate means that:
All ensembles are equivalent
All points in the phase space are equivalent
All points in the microcanonical ensemble are equivalent
The energy is conserved
There is a mistake in the sketch of phase space of harmonic oscillator in the lecture notes:
Find it.

© 1997 Boris Veytsman and Michael Kotelyanskii
Wed Sep 3 22:59:36 EDT 1997