کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5130078 1378657 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equilibrium fluctuations for a discrete Atlas model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Equilibrium fluctuations for a discrete Atlas model
چکیده انگلیسی

We consider a discrete version of the Atlas model, which corresponds to a sequence of zero-range processes on a semi-infinite line, with a source at the origin and a diverging density of particles. We show that the equilibrium fluctuations of this model are governed by a stochastic heat equation with Neumann boundary conditions. As a consequence, we show that the current of particles at the origin converges to a fractional Brownian motion of Hurst exponent H=14.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 127, Issue 3, March 2017, Pages 783-802
نویسندگان
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