Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-28
Physics
Condensed Matter
Statistical Mechanics
25 pages, 3 figures, to be published in Physica A
Scientific paper
10.1016/S0378-4371(02)01017-8
The quasi--equilibrium or maximum entropy approximation is applied in order to derive constitutive equations from kinetic models of polymer dynamics. It is shown in general and illustrated for an example how canonical distribution functions are obtained from the maximum entropy principle, how macroscopic and constitutive equations are derived therefrom and how these constitutive equations can be implemented numerically. In addition, a measure for the accuracy of the quasi--equilibrium approximation is proposed that can be evaluated while integrating the constitutive equations. In the example considered, it is confirmed that the accuracy of the approximation is increased by including more macroscopic variables. In steady elongational flow, it is found that more macroscopic variables need to be included above the coil--stretch transition to achieve the same accuracy as below.
Ilg Patrick
Karlin Iliya V.
Öttinger Hans Christian
No associations
LandOfFree
Canonical Distribution Functions in Polymer Dynamics: I. Dilute Solutions of Flexible Polymers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Canonical Distribution Functions in Polymer Dynamics: I. Dilute Solutions of Flexible Polymers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical Distribution Functions in Polymer Dynamics: I. Dilute Solutions of Flexible Polymers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-560315