Lesson 3



Name:ETP Section:t3 Start Time:12:55:51



1. We can calculate the average value of some quantity or variable f by using the equation:

In words, explain why this equation is correct and what it means. Give a "real world" example of how you could use it, specifying what s, f(s), and P(s) are in your example.

Enter your answer here:



2. Suppose you have a binary system with N = 10,000 sites. At each site, a particle can be either spin up or spin down. Estimate about how big s needs to be in order for g(N,s) to be down to only 1% of its maximum value.

Given this value of s, about how many sites will be spin up and how many will be spin down?

Enter your answer here:



3. Consider two binary systems S1 and S2, the first with N=100 sites and the other with N=100,000 sites. What can you say about the central peaks of the corresponding probability distribution functions P1 and P2?

Check the correct answer:

a) the central peak of P1 is relatively sharper than that of P2
b) the central peak of P2 is relatively sharper than that of P1
c) the relative sharpness of the central peaks does not depend on the number of sites N
d) the relative sharpness of the central peaks cannot be specified without knowing more about the systems

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