Star polymers in good solvents from dilute to concentrated regimes: crossover approach

L. Lue, S.B. Kiselev

Research output: Contribution to journalArticle

Abstract

An introduction is given to the crossover theory of the conformational and thermodynamic properties of star polymers in good solvents. The crossover theory is tested against Monte Carlo simulation data for the structure and thermodynamics of model star polymers. In good solvent conditions, star polymers approach a ``universal'' limit as $Nto; however, there are two types of approach towards this limit. In the dilute regime, a critical degree of polymerization $N^*$ is found to play a similar role as the Ginzburg number in the crossover theory for critical phenomena in simple fluids. A rescaled penetration function is found to control the free energy of star polymer solutions in the dilute and semidilute regions. This equation of state captures the scaling behaviour of polymer solutions in the dilute/semidilute regimes and also performs well in the concentrated regimes, where the details of the monomer-monomer interactions become important.
LanguageEnglish
Pages73-104
Number of pages32
JournalCondensed Matter Physics
Volume5
Issue number1
DOIs
Publication statusPublished - 1 Jan 2002

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Stars
crossovers
Polymers
stars
polymers
Polymer solutions
Monomers
monomers
Equations of state
Free energy
data simulation
Thermodynamic properties
Polymerization
Thermodynamics
equations of state
penetration
polymerization
thermodynamic properties
free energy
Fluids

Keywords

  • star polymer
  • computer simulation
  • renormalization group
  • polymer field theory

Cite this

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Star polymers in good solvents from dilute to concentrated regimes : crossover approach. / Lue, L.; Kiselev, S.B.

In: Condensed Matter Physics, Vol. 5, No. 1, 01.01.2002, p. 73-104.

Research output: Contribution to journalArticle

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