Abstract
It is shown how to calculate exactly the derivatives of the dispersion relation and the spectral density for arbitrary regular polymer chains in harmonic approximation. The theory is based on a generalization of the characteristic polynomial. In the vibrational part of the free energy and other thermodynamic functions, the integral over normal modes is done approximately by Taylor expanding the density of states.
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Dedicated to Professor Dr. F. H. Müller.
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Hägele, P.C., Schmid, C. Taylor expansion of polymer chain dispersion relations and spectral densities to calculate thermodynamic functions. Colloid & Polymer Sci 260, 241–247 (1982). https://doi.org/10.1007/BF01447960
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DOI: https://doi.org/10.1007/BF01447960