Berlin 2001 – wissenschaftliches Programm
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CPP: Chemische Physik und Polymerphysik
CPP 16: Poster: Dynamics of Molecular Systems, Polymer Dynamics, Glass Transition, Crystallization, Electronic Properties of Polymers
CPP 16.7: Poster
Montag, 2. April 2001, 12:30–15:00, AT1
Gaussian Ellipsoid Model for Polymer Chains — •F. Eurich and P. Maass — Fachbereich Physik, Universität Konstanz, D-78457 Konstanz
A soft ellipsoid model for Gaussian polymer chains is studied,
following an idea proposed by Murat and Kremer [1]. In this model
chain molecules are mapped onto ellipsoids with certain shapes, and to
each shape a monomer density is assigned. We determine the
probabilities for the eigenvalues of the gyration radius tensor and
the associated monomer densities for Gaussian chains. The free energy
of the system is given by an intramolecular part accounting for the
internal degrees of freedom and an intermolecular part following from
pair interactions between the monomer densities. In the last part an
additional self-interaction term is taken into account.
Structural and kinetic properties of both homogeneous systems and
binary mixtures are subsequently studied by Monte-Carlo simulations.
It is shown that the model provides a powerful phenomenological
approach for investigating polymeric systems on semi-macroscopic time
and length scales and is in accordance with well known scaling
relations in polymer physics [2]. We further present
extensions for film geometry and structured walls.
[1] M. Murat and K. Kremer, J. Chem. Phys. 108, 4340 (1998)
[2] F. Eurich and P. Maass, J. Chem. Phys., in press.