Static and dynamic properties of two-dimensional polymer melts

Abstract
We present a detailed analysis of the properties of dense linear two-dimensional polymer chains. The systems are simulated by the recently developed bond fluctuation method. We investigate systems of up to 80 % density. The chain length and densities considered cover the crossover from the expanded single chain limit to a dense polymer melt. The chains completely segregate and follow a power law of the chain extension < R2 >˜ N 2ν, N being the number of bonds of the chains and ν = 1/2. While for single two dimensional chains the Rouse modes are not eigenmodes they are eignemodes for the chains in a 2-d melt. Relaxation functions and mean square displacements display typical Rouse-like behavior, with the distinction, that the prefactors for the various relaxation processes differ.