7 votes
Accepted

What is the fundamental difference between the Ising and Potts models?

Fundamentally, there is not much of a difference. A Potts model is a kind of generalized Ising model that includes more spin states. The Hamiltonians can be written with similar forms. The Ising model ...
4 votes

What is a "transient" state?

The excerpt that you gave us defines a steady state as one in which the state is not changing ($\frac{\textrm{d}\rho}{\textrm{d}t} = 0$) and a transient state in which the state is changing ($\frac{\...
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3 votes

Some questions about implementing Swendsen-Wang algorithm

If you follow the derivation of the Swendsen-Wang method as described on Wikipedia (1), you will see that it works whether the quantity $J_{nm}$ is same for all links or different for different kinds ...
3 votes

What is a "transient" state?

Transient state can be defined as a state in which $\frac{\text{d} \rho}{\text{dt}} \neq 0$, which, in an Ising Model MCMC (or any step-based) simulation, could be translated to $\frac{\text{d} M}{\...
2 votes

Is there any useful application to estimating the expectation value for an Ising model without magnetic field?

"I know that one "hot question" about the Ising model is to be able to find its ground state. However this ground state in the absence of magnetic field is necessarily a tensor product (...
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