Dynamical correlated spin model
Previously we already wrote about a work of our colleague, Julius Ruseckas, in which he proposed an elementary model, which reproduces q-Gaussian distribution. Recently we introduced temporal dynamics into that static model [1]. In this text we briefly discuss the dynamical version of the model.
Let us remind you that the correlated spin model describes possible configurations of the spin chain. In this spin chain neighboring spins are usually coaligned, meaning that nearby spins point in the same direction, though there are fixed number of cases \( d-1 \) (in this text \( d \) has slightly different meaning) where spins are antialigned. Consequently we have \( d \) distinct domains inside of which spins are aligned. We are interested in the total spin, \( M = \sum_i s_i \), of such system.