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Critical wetting is of crucial importance for the phase behaviour of a simplefluid or Ising magnet confined between walls that exert opposing surface fieldsso that one wall favours liquid (spin up), while the other favours gas (spindown). We show that arrays of boxes filled with fluid or Ising magnet andlinked by channels with such ``opposing'' walls can exhibit long-rangecooperative effects, on a length scale far exceeding the bulk correlationlength. We give the theoretical foundations of these long-range couplings byusing a lattice gas (Ising model) description of a system.

Surface fields and emergence of long-range couplings in classical uniaxial ferromagnetic arrays