Testing percolation theory in the laboratory: Measuring the critical exponents and fractal dimension during gelation

Yılmaz Y., GELIR A., ALVEROGLU E., UYSAL N.

PHYSICAL REVIEW E, cilt.77, sa.5, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 5
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1103/physreve.77.051121
  • Dergi Adı: PHYSICAL REVIEW E
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Real-time fluorescence measurements have been developed for measuring the fractal dimension d(f) and critical exponents gamma and beta simultaneously during the sol-gel transition of acryiamide bisacrylamide crosslinking copolymerization. We observed that d(f) passes through a minimum value of similar to 2.5 at a critical time t(c) and crossover to 3 above it. The exponents gamma and beta, measured at t(c), were found to be around 1.8 and 0.45, respectively. All parameters d(f), beta, and gamma measured at the critical point t(c) agree with three-dimensional percolation results.