Demixing of compact polymers chains in three dimensions

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L × L × rL and nonperiodic (hard wall) boundary conditions. Using this algorithm for chains of length up to 40,000 monomers and aspect ratios 1 ≤ r ≤ 10 , we show that in the limit of a large lattice the two chains phase separate. This demixing phenomenon is present already for r=1 and becomes more pronounced, albeit not perfect, as r is increased.