# Kinetics of dilute polymers with the viscous memory

Source: [Kinetics of dilute polymers with the viscous memory](<https://www.sota2.com/research/paper/68fa1e3e7a2b558e29321184>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:34:19.135Z

Authors: A.V. Zatovsky, V. Lisy

Published: 2001-11-24T05:44:15.000Z

## Abstract

The Zimm equation for the position vector of a polymer segment is generalized taking into account the effect of viscous memory. The Oseen tensor is built on the basis of the nonstationary Navier-Stokes equation. After the preliminary averaging of the tensor a non-Markovian equation for the time correlation function of the Fourier components of the segment position is derived. The viscous memory essentially affects the long-time asymptote of the correlation function of the Fourier amplitudes of the chain fragments: the time behavior is of a fractional power character instead of the traditional exponential. The relaxation time and the diffusion coefficient of the macromolecule as a whole are the same as in the Zimm model.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0111465>)

[PDF](<https://arxiv.org/pdf/cond-mat/0111465.pdf>)