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Ising model 
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#1
Dec211, 01:52 PM

P: 192

One line between (+). Two lines between (++). Zero line between (). [tex]\gamma[/tex] number of nearest neighbours. Why we have relation
[tex]\gamma N_+=2N_{++}+N_{+}[/tex] Why we get this? Some explanation. This is from Kerson Huang. 


#2
Nov413, 08:06 AM

P: 16

Choose a + site. Join it to each neighbor by a line. we need to draw gamma lines. Now do this for all + sites. So total lines = gamma*N(+). In this process i) between any (+,+) pair there will be two lines (one when we draw line from 1st + to 2nd +, other when we draw line from 2nd + to 1st +). Now there are N(++) number of (+,+) pair. So total lines between all (+,+) pair is 2N(++).. ii) between any (+,) pair there will be one line (when drawn from + to ). There are N(+) number of (+,) pair. iii) between any (,) pair there will be no line. So total lines = 2N(++) + N(+).



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