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We investigate the effect of monopolar charge disorder on the classicalfluctuation-induced interactions between randomly charged net-neutraldielectric slabs and discuss various generalizations of recent results (A. Najiet al., Phys. Rev. Lett. 104, 060601 (2010)) to highly inhomogeneous dielectricsystems with and without statistical disorder correlations. We shall focus onthe specific case of two generally dissimilar plane-parallel slabs, whichinteract across vacuum or an arbitrary intervening dielectric medium. Monopolarcharge disorder is considered to be present on the bounding surfaces and/or inthe bulk of the slabs, may be in general quenched or annealed and may possess afinite lateral correlation length reflecting possible `patchiness' of therandom charge distribution. In the case of quenched disorder, the bulk disorderis shown to give rise to an additive long-range contribution to the totalforce, which decays as the inverse distance between the slabs and may beattractive or repulsive depending on the dielectric constants of the slabs. Weshow that in the case of two dissimilar slabs the net effect due to theinterplay between the disorder-induced and the pure van der Waals interactionscan lead to a variety of unusual non-monotonic interaction profiles between thedielectric slabs. In particular, when the intervening medium has a largerdielectric constant than the two slabs, we find that the net interaction canbecome repulsive and exhibit a potential barrier, while the underlying van derWaals force is attractive. On the contrary, when the intervening medium has adielectric constant in between that of the two slabs, the net interaction canbecome attractive and exhibit a free energy minimum, while the pure van derWaals force is repulsive. Therefore, the charge disorder, if present, candrastically alter the effective interaction between net-neutral objects.

Non-monotoic fluctuation-induced interactions between dielectric slabs carrying charge disorder