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.