Abstract
This paper summarizes some results of a Monte Carlo simulation for the glass transition in dense two- and three-dimensional polymer melts which are simulated by the bond-fluctuation model on a d-dimensional cubic lattice. Combining this model with a two-level Hamiltonian which favours long bonds, a competition between the energetic and topological constraints in the system is created, which prevents crystallization and makes the melt freeze in an amorphous structure. The results of the two-dimensional simulation deal with the influence of the chain length, N, on the glass transition temperature, T g. A linear relationship between T g and 1/ N is found. The three-dimensional model is used to exemplify the dynamical properties of the model by a quantitative analysis of the incoherent intermediate scattering function in the framework of the idealized mode coupling theory.
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