colin12345678

10 Reputation

3 Badges

1 years, 19 days

MaplePrimes Activity


These are replies submitted by colin12345678

@Kitonum That worked. Thanks so much!

@Carl Love Yes that is true. I fixed it and it seems to produce the same results as Kitonum gets. Thanks.

@Kitonum 
hmm. I am glad this works, thanks for the help. But according to my prof, the values being outputted seem to be off. For instance, it should equals closer to -2 at T=1, and closer to zero at T=4. The function I am trying to emulate is the energy per spin in here 
http://www.nyu.edu/classes/tuckerman/stat.mech/lectures/lecture_26/node2.html

I believe, according to the document, that the function should be:
restart; 
b:=T->1/T;
k:=T->2/cosh(2*b(T))/coth(2*b(T));
delta:=T->sqrt(1-k(T)^2*sin(theta)^2);
e:=T->-2*tanh(2/T)+((k(T)/(2*Pi)))*(D(T->2/Pi*Int(sin(theta)^2/delta(T)/(1+delta(T)), theta=0..Pi))(k));
 

I think that the derivative may be wrong...Any ideas?
It doesnt leave an answer for me using this code (@ e(1)), just a giant mess...

Page 1 of 1