We investigated the anomalous diffusion in a system of N–Brownian particles connected by spring driven by one-parameter Mittag-Leffler noise. We presented a solution to the generalized Langevin equation and derived exact expressions for the diffusion coefficient and the variances of the phase space variables of the ith particle in the chain in terms of the Rouse modes. Our results show that all the particles in the linear chain observe subdiffusion. In the limit approaching the Ornstein-Uhlenbeck process, the particles observe normal diffusion indicated by a constant value of the diffusion coefficient in the long-time limit.
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