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The diffusion exponent is a critical parameter in the study of anomalous diffusion, specifying the relationship between the mean squared displacement of particles and time through the equation ⟨x²⟩ ∝ tᵅ, where 'a' is the diffusion exponent. It highlights the nature of particle movement, distinguishing between normal diffusion (a = 1), subdiffusion (a < 1), and superdiffusion (a > 1).
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