Register to reply

Ising model

by matematikuvol
Tags: ising, model
Share this thread:
matematikuvol
#1
Dec2-11, 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.
Attached Thumbnails
ising.JPG  
Phys.Org News Partner Physics news on Phys.org
Technique simplifies the creation of high-tech crystals
Working group explores the 'frustration' of spin glasses
New analysis of oxide glass structures could guide the forecasting of melt formation in planetary interiors
1ndranil
#2
Nov4-13, 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(+-).


Register to reply

Related Discussions
Ising model on GPU Science & Math Textbooks 0
Ising model Atomic, Solid State, Comp. Physics 3
About ising model Atomic, Solid State, Comp. Physics 12
Ising Model Atomic, Solid State, Comp. Physics 6
2d ising model, mft Advanced Physics Homework 1