Abstract
We study a lattice model of an ideal (no self-exclusion) polymer chain in d dimensions in the presence of an attractive site. For very long chains, we calculate analytically, for all dimensions, the partition function, the average energy per monomer unit and the probability distribution of the end-to-end length of the chain. For d⩾3, the system undergoes a phase transition from the low-temperature adsorbed phase to a high-temperature extended phase. This transition is continuous for d⩽4 and first order for d > 4. We determine the finite-size scaling functions near the transition for all d≠4, there is no scaling from due to the existence of logarithmic corrections.
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