PMID- 17279872
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20070320
LR  - 20070206
IS  - 1539-3755 (Print)
IS  - 1539-3755 (Linking)
VI  - 74
IP  - 5 Pt 1
DP  - 2006 Nov
TI  - Violation of the des Cloizeaux relation for self-avoiding walks on Sierpinski 
      square lattices.
PG  - 051102
AB  - The statistics of self-avoiding walks (SAWs) on deterministic fractal structures 
      with infinite ramification, modeled by Sierpinski square lattices, is revisited 
      in two and three dimensions using the reptation algorithm. The probability 
      distribution function of the end-to-end distance of SAWs, consisting of up to 400 
      steps, is obtained and its scaling behavior at small distances is studied. The 
      resulting scaling exponents are confronted with previous calculations for much 
      shorter linear chains (20 to 30 steps) based on the exact enumeration (EE) 
      technique. The present results coincide with the EE values in two dimensions, but 
      differ slightly in three dimensions. A possible explanation for this discrepancy 
      is discussed. Despite this, the violation of the so-called des Cloizeaux 
      relation, a renormalization result that holds on regular lattices and on 
      deterministic fractal structures with finite ramification, is confirmed 
      numerically.
FAU - Marini, Francesco
AU  - Marini F
AD  - Dipartimento di Fisica, Universita di Milano, Via Celoria 16, 20133 Milano, 
      Italy.
FAU - Ordemann, Anke
AU  - Ordemann A
FAU - Porto, Markus
AU  - Porto M
FAU - Roman, H Eduardo
AU  - Roman HE
LA  - eng
PT  - Journal Article
DEP - 20061102
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- 2007/02/07 09:00
MHDA- 2007/02/07 09:01
CRDT- 2007/02/07 09:00
PHST- 2006/06/04 00:00 [received]
PHST- 2006/08/29 00:00 [revised]
PHST- 2007/02/07 09:00 [pubmed]
PHST- 2007/02/07 09:01 [medline]
PHST- 2007/02/07 09:00 [entrez]
AID - 10.1103/PhysRevE.74.051102 [doi]
PST - ppublish
SO  - Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Nov;74(5 Pt 1):051102. doi: 
      10.1103/PhysRevE.74.051102. Epub 2006 Nov 2.