Document Detail

Multifractality of Brownian motion near absorbing polymers.
MedLine Citation:
PMID:  11969679     Owner:  NLM     Status:  PubMed-not-MEDLINE    
We characterize the multifractal behavior of Brownian motion in the vicinity of an absorbing star polymer. We map the problem to an O(M)-symmetric phi(4)-field theory relating higher moments of the Laplacian field of Brownian motion to corresponding composite operators. The resulting spectra of scaling dimensions of these operators display the convexity properties that are necessarily found for multifractal scaling but unusual for power of field operators in field theory. Using a field-theoretic renormalization group approach we obtain the multifractal spectrum for absorption at the core of a polymer star as an asymptotic series. We evaluate these series using resummation techniques.
C von Ferber; Y Holovatch
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics     Volume:  59     ISSN:  1063-651X     ISO Abbreviation:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics     Publication Date:  1999 Jun 
Date Detail:
Created Date:  2002-04-23     Completed Date:  2002-06-24     Revised Date:  2003-11-03    
Medline Journal Info:
Nlm Unique ID:  9887340     Medline TA:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics     Country:  United States    
Other Details:
Languages:  eng     Pagination:  6914-23     Citation Subset:  -    
School of Physics and Astronomy, Tel Aviv University, IL-69978 Tel Aviv, Israel.
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