- #1
Kitty123
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1. The question asks us to map a one dimensional random walk to a two state paramagnet and then write an expression for the number of journeys of N steps which end up at r=Rdelta.
Then we are asked to find an expression for the probability that N steps will end up at r.
2. N!/((N-Up)!(N-down)!)
The average is N/2
e^(-2x^2/N)
Probability= multiplicity(N)/multiplicity(all)
3. Other than saying that x=r=Rdelta and substituting that into my Gaussian I am really unsure of how to even begin this.
I attached a picture of the question. It’s #4
Then we are asked to find an expression for the probability that N steps will end up at r.
2. N!/((N-Up)!(N-down)!)
The average is N/2
e^(-2x^2/N)
Probability= multiplicity(N)/multiplicity(all)
3. Other than saying that x=r=Rdelta and substituting that into my Gaussian I am really unsure of how to even begin this.
I attached a picture of the question. It’s #4