کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1901057 | 1534236 | 2012 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Dynamical System Approach to Phase Transitions for p-Adic Potts Model on the Cayley Tree of Order Two
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In the present paper, we introduce a new kind of p-adic measures for (q + 1)-state Potts model, called generalized p-adic quasi Gibbs measure. For such a model, we derive a recursive relations with respect to boundary conditions. We employ a dynamical system approach to establish phase transition phenomena for the given model. Namely, using the derived recursive relations we define a one-dimensional fractional p-adic dynamical system. We show that if q is divisible by p, then such a dynamical system has two repelling and one attractive fixed points. In this case, there exists a strong phase transition. If q is not divisible by p, then the fixed points are neutral, and this yields the existence of a quasi phase transition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 70, Issue 3, December 2012, Pages 385–406
Journal: Reports on Mathematical Physics - Volume 70, Issue 3, December 2012, Pages 385–406
نویسندگان
Farrukh Mukhamedov,