Abstract
We examine a generalization of the one-dimensional Ising model involving interactions among neighbourhoods of k adjacent spins. The model is solved by exploiting a connection to an interesting computational problem that we call ‘k-SAT on a ring’, and is shown to be equivalent to the nearest-neighbour Ising model in the absence of an external magnetic field. The aim of this paper is to explore an interplay of ideas in the context of a toy problem, while introducing a way of thinking about exactly solvable models in terms of ‘computational analogues’.
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