2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27684We revealed a right-left asymmetry of the inter-well mean first passage times for the Brownian particles in a ratchet potential under internal white noise. We showed analytically and numerically that this asymmetry gives rise to the following phenomena: (i) nonstationary transport; (ii) localization or ultraslow (Sinai) diffusion for ratchets with a disorder in the asymmetry parameter of the potential; (iii) equilibrium "drift of labels" in circular ratchets.submitted to Phys.Rev.Lett., RevTEx, 4 pages, 3 figures (ps)Condensed Mattertext