Thermal-Induced Crossover: Darcy-to-Power Law Response in Flow of Polymer Chains
Physics and Astronomy
Mathematics and Natural Sciences
Flow of polymer chains is studied as a function of temperature (T), field (E), and chain length (Lc) 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=φEδ 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(Lc)T0.21±0.01 in the low temperature regime; the prefactor A(Lc) decays with the chain length according to A∼Lc−0.18.
Physica A: Statistical Mechanics and its Applications
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