Abstract
It is shown that elastic strains or other harmonic fields can mediate oscillating indirect interactions if direct interactions are not limited to nearest neighbours. In particular the mean-field approximation of the Ising model with competing interactions can be interpreted at low temperature in terms of walls (or 'solitons') which interact through an oscillating effective potential. As a result the changes of period are found to be first-order transitions. The phase diagram is therefore not a 'Devil's staircase', in agreement with independent results of Fisher and Selke (1980).
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