Abstract
The critical behavior of a random uniaxial dipolar ferromagnet is determined in the range of reduced temperatures ${t}_{x}<<|t|<<1$, where ${t}_{x}$ is a characteristic temperature whose origin is in a particular degeneracy (at leading order only) in the scaling equations of the fluctuation theory. The (internal) magnetic susceptibility, specific heat, equation of state, and spontaneous magnetization all have nonasymptotic forms which are parametrized by the concentration of impurities. Comparison with recent experiments on the random uniaxial dipolar ferromagnet $\mathrm{Li}{\mathrm{Tb}}_{1\ensuremath{-}p}{\mathrm{Y}}_{p}{\mathrm{F}}_{4}$ is given.
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