| 书目名称 | Dynamical Phase Transitions in Chaotic Systems |
| 编辑 | Edson Denis Leonel |
| 视频video | |
| 概述 | Discusses scaling investigation in nonlinear dynamics.Details suppression of Fermi acceleration in time-dependent billiards.Presents transition from integrability to non-integrability and limited to u |
| 丛书名称 | Nonlinear Physical Science |
| 图书封面 |  |
| 描述 | This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards.. . This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in |
| 出版日期 | Book 2023 |
| 关键词 | Scaling laws in nonlinear systems; Phase transition from limited to unlimited diffusion; Transition fr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-99-2244-4 |
| isbn_softcover | 978-981-99-2246-8 |
| isbn_ebook | 978-981-99-2244-4Series ISSN 1867-8440 Series E-ISSN 1867-8459 |
| issn_series | 1867-8440 |
| copyright | Higher Education Press Limited Company 2023 |
发表于 2025-3-21 20:10:02
