In last qus if q coordination no given then there are qN/2 different pairs If all are up spin then then we get qN/2 up spin combination Similarly if all in down we get qN/2 down spin combination And if antiparllel then we get qN/2 antiparllel combination So for ground statewe have to add up and down which give qN
Sir in last question, when two spins are interacting we get 2 ground state from 4 states. Similarly if N spins are interacting we will not get N ground state, but you have said there will be 2N ground state.? I didnot understand how please explain?
I wrote it like this: x = 1/2(x+x) and then used a periodic boundary condition. For this reason, read the answer that I gave in another comment section of the same video.
In many books, Potts model is said to be the generalisation of the Ising model like, you go with Mehran Kardar book of Statistical Physics Chapter: Models and Methods, you can see. The detailed theory on it is not given but you can search for that on the web.
'i' is general running from 1 to N. In one dimension, all spins have nearest neighbours on their left and right. If S1 and SN are nearest neighbours, you can apply periodic boundary condition, then Si has also there nearest neighbours Si-1 and Si+1. So, we can also write Si-1 = Si = Si+1.
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In last qus if q coordination no given then there are qN/2 different pairs
If all are up spin then then we get qN/2 up spin combination
Similarly if all in down we get qN/2 down spin combination
And if antiparllel then we get qN/2 antiparllel combination
So for ground statewe have to add up and down which give qN
It is part of the ising model where we just calculate up and down spin
In last ques ( Potts Model ) in anskey it is given 1 , ur is 2 which is correct one ??
Sir in last question, when two spins are interacting we get 2 ground state from 4 states. Similarly if N spins are interacting we will not get N ground state, but you have said there will be 2N ground state.? I didnot understand how please explain?
There will be N ground states . You can verify why considering q = 1 or 3 for 2 dipoles .
Thank you much sir❤
But in Hamiltonian ,the spin magnetic interaction term, how to divided by 2 please explain
I wrote it like this: x = 1/2(x+x) and then used a periodic boundary condition. For this reason, read the answer that I gave in another comment section of the same video.
Sir from which book you read this potts model
In many books, Potts model is said to be the generalisation of the Ising model like, you go with Mehran Kardar book of Statistical Physics Chapter: Models and Methods, you can see. The detailed theory on it is not given but you can search for that on the web.
@@Physframe ok sir
23.7 apne B ke sath sigma i+sigma i kdse likha or uske bad sigma i+sigma (i+1) yeh kese aya!!!
'i' is general running from 1 to N. In one dimension, all spins have nearest neighbours on their left and right. If S1 and SN are nearest neighbours, you can apply periodic boundary condition, then Si has also there nearest neighbours Si-1 and Si+1. So, we can also write Si-1 = Si = Si+1.
@@Physframe OK sir get it😊Thank you sir🙏😊