S. Galluccio et R. Graber, DEPINNING TRANSITION OF A DIRECTED POLYMER BY A PERIODIC POTENTIAL - A D-DIMENSIONAL SOLUTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(6), 1996, pp. 5584-5587
We study the depinning phase transition of a directed polymer in a d-d
imensional space by a periodic potential localized on a straight line.
We give exact formulas in all dimensions for the critical pinning we
need to localize the polymer. We show that a bound state can still ari
se even if, in average, the potential layer is not attractive and for
diverging values of the potential on the repulsive sites. Our solution
can be useful in the context of kinetic growth of interfaces.