کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155857 | 958777 | 2010 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Limit theorems and coexistence probabilities for the Curie–Weiss Potts model with an external field
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
The Curie–Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line β=βc(h)β=βc(h) is explicitly known and corresponds to a first-order transition when q>2q>2. In the present paper we describe the fluctuations of the density vector in the whole domain β⩾0β⩾0 and h⩾0h⩾0, including the conditional fluctuations on the critical line and the non-Gaussian fluctuations at the extremity of the critical line. The probabilities of each of the two thermodynamically stable states on the critical line are also computed. Similar results are inferred for the random-cluster model on the complete graph.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 120, Issue 1, January 2010, Pages 84–104
Journal: Stochastic Processes and their Applications - Volume 120, Issue 1, January 2010, Pages 84–104
نویسندگان
Daniel Gandolfo, Jean Ruiz, Marc Wouts,