Dissipation in Laplacian fields across irregular boundaries - art. no. 011115

The entropy production associated to a Laplacian field distributed across i rregular boundaries is studied. In the context of the active zone approxima tion an explicit expression is given for the entropy production in terms of geometry, whose relation to the variational formulation is discussed. It i s shown that the entropy production diminishes for successive prefractal ge nerations of the same fractal generator, so that the final fractal object i s expected to dissipate less than all previous ones. The relevance of this result in the abundance of fractal surfaces or interfaces observed in natur e is discussed.