Simulations of Single Polymer Chains in the Dense Limit

We present simulation results for single a-thermal chain polymers in finite volumes. For this we use a recently proposed recursive implementation of the enrichment method. In 3 dimensions it allows the simulation of extremely long chains (up to $N=300,000$). It is much less efficient for $d=2$, but we can also there extend considerably the previously accessible range of chain lengths and densities. We verify all tested scaling laws except one, and we point out similarities with complex optimization problems.