Adsorption transitions of polymers and crumpled membranes

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Abstract
Adsorption transitions of polymers and crumpled membranes are studied for general substrate potentials in d-dimensional systems. Several regimes for the critical behavior are identified: (i) a weak-fluctuation regime for sufficiently long-ranged potentials which is well described by an ensemble of independent blobs; (ii) a complex intermediate fluctuation regime with infinite-order, second-order, and anomalous first-order transitions; and (iii) a strong-fluctuation regime for sufficiently short-ranged interactions which is characterized by second-order transitions with universal critical behavior.