Nonextensive treatment of nucleation and growth in a thin layer

ÇETİNEL H., Kayacan O.

Physica A: Statistical Mechanics and its Applications, cilt.374, sa.1, ss.263-271, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 374 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.physa.2006.10.075
  • Dergi Adı: Physica A: Statistical Mechanics and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.263-271
  • Anahtar Kelimeler: tsallis thermostatistics, phase transformation, kinetics, thin layer
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, a generalized method based upon nonextensive statistics is presented for nucleation and growth processes in a thin layer between two interfaces. It is shown that the presented mathematical model, which uses an index called the entropic index that measures the nonextensivity of the physical system, successfully deals with the nucleation and growth processes, and works better than Johnson-Mehl-Avrami-Kolmogorov model. The presented model also contains Austin-Rickett model as a special case. © 2006.