(0)

Write a review

-20%

Lectures on Random Interfaces

Tadahisa Funaki

(0)

Write a review

Language English

Cover Softcover

Published 2017-01-03

€67.74 €84.68

-20% with code BOOKS

Softcover €84.68 Hardcover

In stock at our supplier

Shipping in 15-21 days

30-day return policy

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 h ... Full description

Description

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 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 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.

More Information

Author	Tadahisa Funaki
Publisher	Springer Nature Singapore
Release year	2017
Cover type	Softcover
EAN	9789811008481

Write Your Own Review

You're reviewing: Lectures on Random Interfaces

Your Rating:

Goodreads Reviews

€67.74 €84.68

Lectures on Random Interfaces

You May Also Like

Biology: A Global Approach, Global Edition

Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time

Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher

Behave: The Biology of Humans at Our Best and Worst

Determined: The Science of Life Without Free Will

Why Machines Learn: The Elegant Maths Behind Modern AI

Is a River Alive?

The Age of Alchemy: How Early Innovators Shaped Modern Chemistry

The Secrets of our DNA: How Genetics has Changed the World

Janeway's Immunobiology

Why We Sleep: Unlocking the Power of Sleep and Dreams

Factfulness: Ten Reasons We're Wrong About the World--and Why Things Are Better Than You Think

The Light Eaters: How the Unseen World of Plant Intelligence Offers a New Understanding of Life on Earth

The Rise and Fall of the Dinosaurs: A New History of a Lost World

The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us

Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing

Beyond Inheritance: Our Ever-Mutating Cells and a New Understanding of Health

On the Origin of Species

The Feynman Lectures on Physics. The New Millennium Edition

How to Solve it: A New Aspect of Mathematical Method

Description

More Information

Goodreads Reviews

Lectures on Random Interfaces - Tadahisa Funaki

Lectures on Random Interfaces

You May Also Like

Description

More Information

Goodreads Reviews