کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9727872 | 1480212 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Debye-Hückel theory for two-dimensional Coulomb systems living on a finite surface without boundaries
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study the statistical mechanics of a multicomponent two-dimensional Coulomb gas which lives on a finite surface without boundaries. We formulate the Debye-Hückel theory for such systems, which describes the low-coupling regime. There are several problems, which we address, to properly formulate the Debye-Hückel theory. These problems are related to the fact that the electric potential of a single charge cannot be defined on a finite surface without boundaries. One can only properly define the Coulomb potential created by a globally neutral system of charges. As an application of our formulation, we study, in the Debye-Hückel regime, the thermodynamics of a Coulomb gas living on a sphere of radius R. We find, in this example, that the grand potential (times the inverse temperature) has a universal finite-size correction 13lnR. We show that this result is more general: for any arbitrary finite geometry without boundaries, the grand potential has a finite-size correction (Ï/6)lnR, with Ï the Euler characteristic of the surface and R2 its area.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 349, Issues 1â2, 1 April 2005, Pages 155-171
Journal: Physica A: Statistical Mechanics and its Applications - Volume 349, Issues 1â2, 1 April 2005, Pages 155-171
نویسندگان
Gabriel Téllez,