| Issue |
Europhys. Lett.
Volume 39, Number 1, July I 1997
|
|
|---|---|---|
| Page(s) | 31 - 36 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1997-00309-6 | |
| Published online | 01 September 2002 | |
Copolymer networks: Multifractal dimension spectra in polymer field theory
1
Fachbereich Physik, Universität Essen -
D-45117 Essen, Germany
2
School of Physics and Astronomy, Tel Aviv University -
IL-69978 Tel-Aviv, Israel
3
Institute for Condensed Matter Physics, Ukrainian Academy of Sciences,
UA-290011 Lviv, Ukraine
Received:
6
January
1997
Accepted:
25
May
1997
We explore the rich scaling behavior of copolymer networks in solution.
We establish a field-theoretic description in terms of composite
operators. Our 3rd-order resummation of the spectrum of scaling
dimensions brings about remarkable features: Convexity of the spectra
allows for a multifractal interpretation. This has not been conceived
for power of field operators of 
field theory before.
The 2D limit of the mutually avoiding walk star apparently
corresponds to results of a conformal Kac series. Such a classification
seems not possible for the 2D limit of other copolymer stars.
The 3rd-order calculation of a large collection of exponents furthermore
allows for a consistency check of two complementary schemes: epsilon
expansion and renormalization at fixed dimension.
PACS: 61.41.+e – Polymers, elastomers, and plastics / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 64.60.Fr – Equilibrium properties near critical points, critical exponents
© EDP Sciences, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.