Abstract

Ferromagnetism in fractal-based complexes, which are generated using the dielectric-breakdown model with appropriate controls of their fractal dimension, is investigated using the standard Monte Carlo simulations. The difference in the fractal dimensions of a nerve-cell-like complex creates a heterotic phase in which the spin-ordered Gibbs state of a somatic nucleus and the spin-disordered Gibbs state of dendritic portions are orchestrated. On the other hand, a nebulalike complex in which many sites are grown on a dendritic substrate behaves as a single ferromagnetic system and is characterized by a particular Curie temperature.

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