Ellipoidal Model

The examination of various mean-square displacements leads to an understanding of the dynamical behavior. For this we define two different displacements: the mean-square displacement of the monomers in the center of the chains and the mean-square displacement of the center of mass of the chains.
Reptation tau1 f14.gif (1550 Byte)
f15.gif (1522 Byte)
f16.gif (930 Byte)
f17.gif (1902 Byte)
tau3.gif (12152 Byte) The crossover from Rouse behavior to reptation dynamics can be easily shown by the investigation of the diffusion constant D in ist various disguises.
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