Falsity of the Rouse Mode Solution of the Rouse and Zimm Models

Details Falsity of the Rouse Mode Solution of the Rouse and Zimm Models Falsity of the Rouse Mode Solution of the Rouse and Zimm Models

2009-07-23

arxiv.org/abs/0907.4172v1

Physics

Condensed Matter

Soft Condensed Matter

One text file

Scientific paper

The Rouse (J. Chem. Phys. 21, 1272 (1953)) and Zimm (J. Chem. Phys. 24}, 269 (1956)) treatments of the dynamics of a polymer chain are shown to contain a fundamental mathematical error, which causes them to lose the zero-relaxation-rate, whole-body rotation motions dominant in viscosity and dielectric relaxation. As a result, the oft-cited mode solutions for these models are qualitatively incorrect. Comparison with the Wilson-Decius-Cross treatment of vibrational modes of polyatomic molecules reveals qualitatively the correct form for the solutions to the Rouse model.

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