کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
977785 933207 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Study of two dimensional anisotropic Ising models via a renormalization group approach
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Study of two dimensional anisotropic Ising models via a renormalization group approach
چکیده انگلیسی


• There is a good agreement for critical exponent of 2-D anisotropic of Ising model with Onsager’s results.
• Critical exponents remain constant versus ferromagnetic anisotropic spin coupling interaction.
• There is an asymptotic limit for the critical line.

A method is developed to calculate the critical line of two dimensional (2D) anisotropic Ising model including nearest-neighbor interactions. The method is based on the real-space renormalization group (RG) theory with increasing block sizes. The reduced temperatures, KsKs (where K=JkBT and JJ, kBkB, and TT are the spin coupling interaction, the Boltzmann constant, and the absolute temperature, respectively), are calculated for different block sizes. By increasing the block size, the critical line for three types of lattice, namely: triangular, square, and honeycomb, is obtained and found to compare well with corresponding results reported by Onsager in the thermodynamic limit. Our results also show that, for the investigated lattices, there exist asymptotic limits for the critical line. Finally the critical exponents are obtained, again in good agreement with Onsager’s results. We show that the magnitude of the spin coupling interaction with anisotropic ferromagnetic characteristics does not change the values of the critical exponents, which stay constant along the direction of the critical line.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 22, 15 November 2013, Pages 5604–5614
نویسندگان
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