| 书目名称 | Lectures on the Random Field Ising Model |
| 副标题 | From Parisi-Sourlas |
| 编辑 | Slava Rychkov |
| 视频video | |
| 概述 | Gives an informal yet complete introduction to the random field Ising model.Includes exercises and discusses open problems in research.Covers the theoretical, experimental, and numerical points of vie |
| 丛书名称 | SpringerBriefs in Physics |
| 图书封面 |  |
| 描述 | .This book is about the Random Field Ising Model (RFIM) – a paradigmatic spin model featuring a frozen disordering field. The focus is on the second-order phase transition between the paramagnetic and ferromagnetic phases, and the associated critical exponents. .The book starts by summarizing the current knowledge about the RFIM from experiments, numerical simulations and rigorous mathematical results. It then reviews the classic theoretical works from the 1970’s which suggested a property of dimensional reduction – that the RFIM critical exponents should be the same as for the ordinary, non-disordered, Ising model of lower dimensionality, and related this an emergent Parisi-Sourlas supersymmetry. As is now known, these remarkable properties only hold when the spatial dimensionality of the model is larger than a critical dimension. The book presents a method to estimate the critical dimension, using standard tools such as the replica trick and perturbative renormalization group, whose result is in agreement with the numerical simulations. Some more elementary steps in the derivations are left as exercises for the readers. .This book is of interest to researchers, PhD students and a |
| 出版日期 | Book 2023 |
| 关键词 | random field Ising model; dimensional reduction; Parisi-Sourlas supersymmetry; Cardy transform; stochast |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-42000-9 |
| isbn_softcover | 978-3-031-41999-7 |
| isbn_ebook | 978-3-031-42000-9Series ISSN 2191-5423 Series E-ISSN 2191-5431 |
| issn_series | 2191-5423 |
| copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2023 |
发表于 2025-3-21 18:39:57
