Title
Evolution in off-critical diblock copolymer melts
Abstract
We study the evolution of diblock copolymer melts in which one component has small volume fraction. In this case one observes phase morphologies which consist of small spheres of the minority component embedded in the other component. Based on the Ohta-Kawasaki free energy one can set up an evolution equation which has the interpretation of a gradient flow. We restrict this gradient flow to morphologies in which the minority phase consists of spheres and derive monopole approximations for different parameter regimes. We use these approximations for simulations of large particle systems.
Year
DOI
Venue
2008
10.3934/nhm.2008.3.615
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
monopole approximation.,. diblock copolymers,gradient flow,volume fraction,free energy,particle system
Volume fraction,Thermodynamics,Copolymer,Particle system,Mathematical analysis,Magnetic monopole,Mechanics,SPHERES,Balanced flow,Mathematics,Evolution equation
Journal
Volume
Issue
ISSN
3
3
1556-1801
Citations 
PageRank 
References 
2
0.52
2
Authors
3
Name
Order
Citations
PageRank
Michael Helmers121.19
BARBARA NIETHAMMER2155.87
Xiaofeng Ren320.86