کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898099 1534070 2007 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fermionic construction of tau functions and random processes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Fermionic construction of tau functions and random processes
چکیده انگلیسی

Tau functions expressed as fermionic expectation values [E. Date, M. Jimbo, M. Kashiwara, T. Miwa, Transformation groups for soliton equations, in: M. Jimbo, T. Miwa (Eds.), Nonlinear Integrable Systems—Classical Theory and Quantum Theory, World Scientific, 1983, pp. 39–120] are shown to provide a natural and straightforward description of a number of random processes and statistical models involving hard core configurations of identical particles on the integer lattice, like a discrete version simple exclusion processes (ASEP), nonintersecting random walkers, lattice Coulomb gas models and others, as well as providing a powerful tool for combinatorial calculations involving paths between pairs of partitions. We study the decay of the initial step function within the discrete ASEP (d-ASEP) model as an example. For constant hopping rates we obtain Vershik–Kerov type of asymptotic configuration of particles.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 235, Issues 1–2, November 2007, Pages 168–206
نویسندگان
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