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A mode-coupling theory for the slow single-particle dynamics in fluidsadsorbed in disordered porous media is derived, which complements previous workon the collective dynamics [V. Krakoviack, Phys. Rev. E 75, 031503 (2007)]. Itsequations, like the previous ones, reflect the interplay betweenconfinement-induced relaxation phenomena and glassy dynamics through thepresence of two contributions in the slow part of the memory kernel, which arelinear and quadratic in the density correlation functions, respectively. Fromnumerical solutions for two simple models with pure hard core interactions, itis shown that two different scenarios result for the diffusion-localizationtransition, depending on the strength of the confinement. For weak confinement,this transition is discontinuous and coincides with the ideal glass transition,like in one-component bulk systems, while, for strong confinement, it iscontinuous and occurs before the collective dynamics gets nonergodic. In thelatter case, the glass transition manifests itself as a secondary transition,which can be either continuous or discontinuous, in the already arrestedsingle-particle dynamics. The main features of the anomalous dynamics found inthe vicinity of all these transitions are reviewed and illustrated withdetailed computations.

Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions