کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
978409 933277 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Statistical mechanics of two dimensional tilings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Statistical mechanics of two dimensional tilings
چکیده انگلیسی

Reduced dimensionality in two dimensions is a topic of current interest. We use model systems to investigate the statistical mechanics of ideal networks. The tilings have possible applications such as the 2D locations of pore sites in nanoporous arrays (quantum dots), in the 2D hexagonal structure of graphene, and as adsorbates on quasicrystalline crystal surfaces. We calculate the statistical mechanics of these networks, such as the partition function, free energy, entropy, and enthalpy. The plots of these functions versus the number of links in the finite networks result in power law regression. We also determine the degree distribution, which is a combination of power law and rational function behavior. In the large-scale limit, the degree of these 2D networks approaches 3, 4, and 6, in agreement with the degree of the regular tilings. In comparison, a Penrose tiling has a degree also equal to about 4.


► Ideal tilings such the regular tilings and Penrose tilings are investigated.
► The partition function, free energy, entropy, and enthalpy is calculated.
► The plots of these functions result in power law regression.
► A Penrose tiling has a degree equal to about 4.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 391, Issue 10, 15 May 2012, Pages 2957–2963
نویسندگان
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