DOIAbstract
AbstractWe consider a (1+1)-dimensional hydrophobic homopolymer, in interaction with an oil–water interface. In Z2, the interface is modelled by the x axis, the oil is above, the water is below, and the polymer configurations are given by a simple random walk (Si)i≥0. The hydrophobicity of each monomer tends to delocalize the polymer in the upper half-plane, through a reward h>0 for each monomer in the oil and a penalty −h<0 for each monomer in the water. On the other hand, the chain receives a random reward (or penalty) when crossing the interface, depending on a local random charge attached to the interface. At site i this reward is β(1+sζi), where (ζi)i≥1 is a sequence of i.i.d. centered random variables, and s≥0, β≥0. Since the reward i...
Add to ORKG