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We present data of Monte Carlo simulations for monodisperse linear polymerchains in dense melts with degrees of polymerization between N=16 and N=512.The aim of this study is to investigate the crossover from Rouse-like dynamicsfor short chains to reptation-like dynamics for long chains. To address thisproblem we calculate a variety of different quantities: standard mean-squaredisplacements of inner monomers and of the chain's center of mass, the recentlyproposed cubic invariant, persistence of bond-vector orientation with time, andthe auto-correlation functions of the bond vector, the end-to-end vector andthe Rouse modes. This analysis reveals that the crossover from non- toentangled dynamics is very protracted. Only the largest chain length N=512,which is about 13 times larger than the entanglement length, shows evidence forreptation.Comment: 38 pages of REVTeX, 14 PostScript figure

Monte Carlo Simulation of Long Chain Polymer Melts: Crossover from Rouse to Reptation Dynamics