کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895958 1533775 2013 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A motivic approach to phase transitions in Potts models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
A motivic approach to phase transitions in Potts models
چکیده انگلیسی

We describe an approach to the study of phase transitions in Potts models based on an estimate of the complexity of the locus of real zeros of the partition function, computed in terms of the classes in the Grothendieck ring of the affine algebraic varieties defined by the vanishing of the multivariate Tutte polynomial. We give completely explicit calculations for the examples of the chains of linked polygons and of the graphs obtained by replacing the polygons with their dual graphs. These are based on a deletion–contraction formula for the Grothendieck classes and on generating functions for splitting and doubling edges.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 63, January 2013, Pages 6–31
نویسندگان
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