PMID- 17358306 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20070501 LR - 20070315 IS - 1539-3755 (Print) IS - 1539-3755 (Linking) VI - 75 IP - 2 Pt 1 DP - 2007 Feb TI - Scaling behavior of linear polymers in disordered media. PG - 020801 AB - It has long been known that the universal scaling properties of linear polymers in disordered media are well described by the statistics of self-avoiding walks (SAWs) on percolation clusters and their critical exponent nu(SAW), with the SAW implicitly referring to the average SAW. Hitherto, static averaging has been commonly used, e.g., in numerical simulations, to determine what the average SAW is. We assert that only kinetic, rather than static, averaging can lead to asymptotic scaling behavior and corroborate our assertion by heuristic arguments and a renormalizable field theory. Moreover, we calculate to two-loop order nu(SAW), the exponent nu(max) for the longest SAW, and a family of multifractal exponents nu(alpha). FAU - Janssen, Hans-Karl AU - Janssen HK AD - Institut fur Theoretische Physik III, Heinrich-Heine-Universitat, 40225 Dusseldorf, Germany. FAU - Stenull, Olaf AU - Stenull O LA - eng PT - Journal Article DEP - 20070228 PL - United States TA - Phys Rev E Stat Nonlin Soft Matter Phys JT - Physical review. E, Statistical, nonlinear, and soft matter physics JID - 101136452 EDAT- 2007/03/16 09:00 MHDA- 2007/03/16 09:01 CRDT- 2007/03/16 09:00 PHST- 2006/09/04 00:00 [received] PHST- 2007/03/16 09:00 [pubmed] PHST- 2007/03/16 09:01 [medline] PHST- 2007/03/16 09:00 [entrez] AID - 10.1103/PhysRevE.75.020801 [doi] PST - ppublish SO - Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Feb;75(2 Pt 1):020801. doi: 10.1103/PhysRevE.75.020801. Epub 2007 Feb 28.