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Title: Density fluctuations of polymers in disordered media

Abstract

We study self-avoiding random walks in an environment where sites are excluded randomly, in two and three dimensions. For a single polymer chain, we study the statistics of the time averaged monomer density and show that these are well described by multifractal statistics. This is true even far from the percolation transition of the disordered medium. We investigate solutions of chains in a disordered environment and show that the statistics cease to be multifractal beyond the screening length of the solution.

Authors:
 [1];  [2]
  1. Univ. of California, Santa Cruz, CA (United States)
  2. Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC); Center for Bio-Inspired Energy Science (CBES)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1065495
DOE Contract Number:  
SC0000989
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 83 (3); Journal Issue: 3; Related Information: CBES partners with Northwestern University (lead); Harvard University; New York University; Pennsylvania State University; University of Michigan; University of Pittsburgh; Journal ID: ISSN 1539--3755
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; catalysis (homogeneous), solar (photovoltaic), bio-inspired, charge transport, mesostructured materials, materials and chemistry by design, synthesis (novel materials), synthesis (self-assembly)

Citation Formats

Deutsch, Joshua M., and Olvera de la Cruz, Monica. Density fluctuations of polymers in disordered media. United States: N. p., 2011. Web. doi:10.1103/PhysRevE.83.031801.
Deutsch, Joshua M., & Olvera de la Cruz, Monica. Density fluctuations of polymers in disordered media. United States. doi:10.1103/PhysRevE.83.031801.
Deutsch, Joshua M., and Olvera de la Cruz, Monica. Wed . "Density fluctuations of polymers in disordered media". United States. doi:10.1103/PhysRevE.83.031801.
@article{osti_1065495,
title = {Density fluctuations of polymers in disordered media},
author = {Deutsch, Joshua M. and Olvera de la Cruz, Monica},
abstractNote = {We study self-avoiding random walks in an environment where sites are excluded randomly, in two and three dimensions. For a single polymer chain, we study the statistics of the time averaged monomer density and show that these are well described by multifractal statistics. This is true even far from the percolation transition of the disordered medium. We investigate solutions of chains in a disordered environment and show that the statistics cease to be multifractal beyond the screening length of the solution.},
doi = {10.1103/PhysRevE.83.031801},
journal = {Physical Review E},
issn = {1539--3755},
number = 3,
volume = 83 (3),
place = {United States},
year = {2011},
month = {3}
}