Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
NUMERICAL SOLUTION OF POLYMER SELF-CONSISTENT FIELD THEORY
 

Summary: NUMERICAL SOLUTION OF
POLYMER SELF-CONSISTENT FIELD THEORY
HECTOR D. CENICEROS AND GLENN H. FREDRICKSON
MULTISCALE MODEL. SIMUL. c 2004 Society for Industrial and Applied Mathematics
Vol. 2, No. 3, pp. 452474
Abstract. We propose efficient pseudospectral numerical schemes for solving the self-consistent,
mean-field equations for inhomogeneous polymers. In particular, we introduce a robust class of
semi-implicit methods that employ asymptotic small scale information about the nonlocal density
operators. The relaxation schemes are further embedded in a multilevel strategy resulting in a method
that can cut down the computational cost by an order of magnitude. Three illustrative problems
are used to test the numerical methods: (i) the problem of finding the mean chemical potential field
for a prescribed inhomogeneous density of homopolymers; (ii) an incompressible melt blend of two
chemically distinct homopolymers; and (iii) an incompressible melt of AB diblock copolymers.
Key words. diblock coplymers, incompressible melt blend, semi-implicit methods, multilevel
relaxation
AMS subject classifications. 65K10, 65Z05
DOI. 10.1137/030601338
1. Introduction. Field-theoretic models and approaches have proven to be very
useful in the study of inhomogeneous polymer and complex fluid phases. The appli-
cation of such methods to dense phases, such as melts and concentrated solutions

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics