  In this paper we define a variant of the Ising model in which spins are
replaced with permutations. The energy between two spins is a function of the
relative disorder of one spin, a permutation, to the other. This model is
motivated by a complexity measure for declarative systems. For such systems a
state is a permutation and the permutation sorting complexity measures the
average sequential disorder of neighbouring states. To measure the relative
disorder between two spins we use a symmetrized version of the descent
permutation statistic that has appeared in the works of Chatterjee \& Diaconis
and Petersen. The classical Ising model corresponds to the length-2 permutation
case of this new model. We consider and prove some elementary properties for
the 1D case of this model in which spins are length-3 permutations.
