Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains

التفاصيل البيبلوغرافية
العنوان: Across Dimensions: Two- and Three-Dimensional Phase Transitions from the Iterative Renormalization-Group Theory of Chains
المؤلفون: Kecoglu, Ibrahim, Berker, A. Nihat
المصدر: Phys. Rev. E 102, 032134 (2020)
سنة النشر: 2020
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics
الوصف: Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or non-zero magnetization, but the method reflects crossover from temperature-like to field-like renormalization-group flows as the mechanism for the higher-dimensional phase transitions. The magnetization of each chain acts, via the interaction constant, as a magnetic field on its neighboring chains, thus entering its renormalization-group calculation. The method is highly flexible for wide application.
Comment: Published version, 4 pages, 6 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.102.032134
URL الوصول: http://arxiv.org/abs/2006.05644
رقم الأكسشن: edsarx.2006.05644
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.102.032134