Ising model with competing interactions on Cayley tree of Order 4: an analytic solution

• المؤلفون الرئيسيون: Ali, Rukiah, Mukhamedov, Farrukh, Pah, Chin Hee
• التنسيق: مقال
• اللغة: English
• منشور في: Institute of Physics Publishing (UK) 2013
• الموضوعات: QA Mathematics
• الوصول للمادة أونلاين: http://irep.iium.edu.my/30083/1/mfrapch-JPCS%282013%29.pdf; http://irep.iium.edu.my/30083/; http://dx.doi.org/10.1088/1742-6596/435/1/012032

We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order four. We derive a recurrent equation for the Cayley tree of order k. We found an analytic solution for the given interactions in the case of order 4. Our...