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Zusammenfassung:
We consider the interaction between two rods embedded in a fluctuating surface. The modification of fluctuations by the rods leads to an attractive long-range interaction between them. We consider fluctuations governed by either surface tension (films) or bending rigidity (membranes). In both cases the interaction falls off with the separation of the rods as [Formula Presented]. The orientational part of the interaction is proportional to [Formula Presented] in the former case and to [Formula Presented] in the latter, where [Formula Presented] and [Formula Presented] are angles between the rods and the line joining them. These interactions are somewhat reminiscent of dipolar forces and will tend to align collections of such rods into chains. © 1996 The American Physical Society.