Thermal-Induced Crossover: Darcy-to-Power Law Response in Flow of Polymer Chains

Authors

Grace M. Foo, National University of SingaporeFollow
Ras B. Pandey, University of Southern MississippiFollow

Document Type

Article

Publication Date

4-1-1999

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

Flow of polymer chains is studied as a function of temperature (T), field (E), and chain length (L_c) by a hybrid computer simulation. In low field, the polymer flow rate density (j) shows a linear response, i.e., Darcy law, j=φE at high temperatures and a power-law response j=φE^δ at low temperatures. The power-law response exponent, δ is nonuniversal and depends on temperature (δ≃1.0–2.0). The chain permeability φ=A(L_c)T^0.21±0.01 in the low temperature regime; the prefactor A(L_c) decays with the chain length according to A∼L_c^−0.18.

Publication Title

Physica A: Statistical Mechanics and its Applications

Volume

265

First Page

416

Last Page

423

Recommended Citation

Foo, G. M., Pandey, R. B. (1999). Thermal-Induced Crossover: Darcy-to-Power Law Response in Flow of Polymer Chains. Physica A: Statistical Mechanics and its Applications, 265, 416-423.
Available at: https://aquila.usm.edu/fac_pubs/4587