Mohlo by sa vám tiež páčiť

Viac informácií o knihe Lectures on Random Interfaces

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 125 bodov

Anotácia knihy

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 __-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 dynamics is 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 equation with bistable reaction term, leads to a mean curvature flow for the interfaces. Its stochastic perturbation, sometimes called a time-dependent Ginzburg-Landau model, stochastic quantization, or dynamic P(_)-model, is considered. Brief introductions to Brownian motions, martingales, and stochastic integrals are given in an infinite dimensional setting. The regularity property of solutions of stochastic PDEs (SPDEs) of a parabolic type with additive noises is also discussed. The Kardar-Parisi-Zhang (KPZ) equation , which describes a growing interface with fluctuation, recently has attracted much attention. This is an ill-posed SPDE and requires a renormalization. Especially its invariant measures are studied.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Applied mathematics

• Celý názov: Lectures on Random Interfaces
• Autor: Tadahisa Funaki
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 138
• EAN: 9789811008481
• ISBN: 9811008485
• ID: 02949223
• Nakladateľ: Springer Verlag, Singapore
• Hmotnosť: 274 g
• Rozmery: 159 × 237 × 9 mm
• Dátum vydania: 03. January 2017

Obľúbené z iného súdka

---

---

---