کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5374992 1504283 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Random walkers versus random crowds: Diffusion of large matrices
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
Random walkers versus random crowds: Diffusion of large matrices
چکیده انگلیسی
We consider Brownian random walks of infinitely large matrices using the tools of free random variables calculus. We establish relations between stochastic evolution of hermitian and unitary ensembles. We point out that matrix-valued diffusion equation develops non-linear terms, responsible for such phenomena as shock-waves. We comment the connection between unitary matrix diffusion and two-dimensional Yang-Mills theory. Finally, we speculate on application of string model techniques to the problem of quantum transport, where infinite products of pseudounitary matrices play the major role.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chemical Physics - Volume 375, Issues 2–3, 5 October 2010, Pages 380-385
نویسندگان
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