| 书目名称 | Lectures on Random Interfaces | | 编辑 | Tadahisa Funaki | | 视频video | | | 概述 | Shows that the microscopic point of view is useful in choosing a real minimizer of a variational problem that determines an interface shape.Is the first book to discuss the stochastic extension of the | | 丛书名称 | SpringerBriefs in Probability and Mathematical Statistics | | 图书封面 |  | | 描述 | Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book..Assuming that the interface is represented as a height function measured from a fixed-reference discretized hyperplane, the system is governed by the Hamiltonian of gradient of the height functions. This is a kind of effective interface model called ∇φ-interface model. The scaling limits are studied for Gaussian (or non-Gaussian) random fields with a pinning effect under a situation in which the rate functional of the corresponding large deviation principle has non-unique minimizers..Young diagrams determine decreasing interfaces, and their dynamics are introduced. The large-scale behavior of such dynamicsis studied from the points of view of the hydrodynamic limit and non-equilibrium fluctuation theory. Vershik curves are derived in that limit..A sharp interface limit for the Allen–Cahn equation, that is, a reaction–diffusion | | 出版日期 | Book 2016 | | 关键词 | Scaling limits for pinned interface model; Dynamic Young diagrams; Introduction to stochastic partial | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-10-0849-8 | | isbn_softcover | 978-981-10-0848-1 | | isbn_ebook | 978-981-10-0849-8Series ISSN 2365-4333 Series E-ISSN 2365-4341 | | issn_series | 2365-4333 | | copyright | The Author(s) 2016 |
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发表于 2025-3-21 19:00:31
