Abstract
A model of fraction-dimensional space is proposed for dealing with anisotropic interactions. An anisotropic solid is treated as an isotropic fraction-dimensional system whose dimension is determined by the degree of anisotropy. It is found that the densities of states calculated with the fraction-dimensional model are in good accordance with those obtained using previous methods. This model well explains the anomalous dimensionalities, especially the dimensional crossovers, exhibited in anisotropic solids.
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