Ising Model
Following Susskind’s Statistical Mechanics course, lecture 9. The energy of a single spin in the Ising model is given by: \[E = -J\sigma\]where: \(E\) is the energy of the spin \(J\) is the coupling constant (strength of interaction) \(\sigma\) is the spin value, which can be either +1 (spin up) or -1 (spin down) Focus on a single spin. Its partition function \(Z\), summing over the two configurations (\(\sigma = +1, \sigma = -1\)), is: ...