Abstract. Here we study the persistent current I in finite width mesoscopic rings within the framework of the Tight-Binding Model. Disorder is introduced via Cauchy-distributed on-site electron energies {ε_i}. The results we have found for the effect of disorder and band filling are in good agreement with the existing theories. However, the computer simulation show clear dependence of the current I on the aspect ratio g = ΔS/S, with ΔS being the area of the ring and S — that one of its hole, which is pronounced as slight change of the Φ₀-periodicity and as linear in the enclosed magnetic flux drift of the persistent current. In the case of 2M-chain ring the radial and azimuthal structure of the current is briefly discussed as well.

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