Title
Kinetic models for polymers with inertial effects
Abstract
Novel kinetic models for both Dumbbell-like and rigid-rod like polymers are derived, based on the probability distribution function f(t, x, n, (n) over dot) for a polymer molecule positioned at x to be oriented along direction n while embedded in a. n environment created by inertial effects. It is shown that the probability distribution function of the extended model, when converging, will lead to well accepted kinetic models when inertial effects are ignored such as the Doi models for rod like polymers, and the Finitely Extensible Non-linear Elastic (FENE) models for Dumbbell like polymers.
Year
DOI
Venue
2009
10.3934/nhm.2009.4.625
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Polymers,kinetic description,Brownian forces,Rod like models,Dumbbell model
Inertial frame of reference,Statistical physics,Dumbbell,Polymer,Molecule,Elasticity (economics),Probability density function,Classical mechanics,Mathematics,Kinetic energy
Journal
Volume
Issue
ISSN
4
4
1556-1801
Citations 
PageRank 
References 
1
0.48
4
Authors
2
Name
Order
Citations
PageRank
Pierre Degond125143.75
Hailiang Liu2396.57