Physics Reports最新文献

筛选
英文 中文
A review of quantum correlation sharing: The recycling of quantum correlations triggered by quantum measurements 量子相关共享回顾:量子测量引发的量子相关性再循环
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-10-30 DOI: 10.1016/j.physrep.2024.10.003
Zinuo Cai , Changliang Ren , Tianfeng Feng , Xiaoqi Zhou , Jingling Chen
{"title":"A review of quantum correlation sharing: The recycling of quantum correlations triggered by quantum measurements","authors":"Zinuo Cai ,&nbsp;Changliang Ren ,&nbsp;Tianfeng Feng ,&nbsp;Xiaoqi Zhou ,&nbsp;Jingling Chen","doi":"10.1016/j.physrep.2024.10.003","DOIUrl":"10.1016/j.physrep.2024.10.003","url":null,"abstract":"<div><div>Quantum correlation and quantum measurement are core issues in understanding the quantum world. Revealing quantum correlations in microphysical systems through proper quantum measurements became an important research topic in the last century and gave rise to the birth of quantum information technologies. However, quantum correlations, quantum measurements, and their relationship are not yet fully understood and require further clarification. The development of generalized quantum measurement and non-destructive measurement provides new possibilities for studying these issues. In the past decade, a series of studies on quantum correlation sharing through sequential generalized measurements have unveiled a new avenue for exploring quantum correlations. These studies not only have important fundamental significance, but also involve the unexplored issue of quantum resource recycling. This review thoroughly examines recent advancements in quantum correlation sharing. It begins by elucidating the fundamental reasons for quantum correlation sharing based on the interpretation of joint probabilities, and discussing the basic definitions and concepts. Next, the sharing of Bell nonlocality under different measurement strategies and scenarios is carefully examined, especially pointing out the impact of these strategies on the maximum number of parties that can exhibit Bell nonlocality. The subsequent chapters provide an overview of other forms of quantum correlation sharing, including quantum steering, network nonlocality, quantum entanglement, and quantum contextuality. Furthermore, we summarize the advancements in the application of quantum correlation sharing across various quantum tasks, highlighting examples such as quantum random access codes, random number generation, and self-testing tasks. Finally, we discuss and enumerate some key unresolved issues in this research area, concluding this review.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1098 ","pages":"Pages 1-53"},"PeriodicalIF":23.9,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines 菲茨休-纳古莫模型六十年:时空动态及其跨学科影响指南
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-10-29 DOI: 10.1016/j.physrep.2024.09.014
Daniel Cebrián-Lacasa , Pedro Parra-Rivas , Daniel Ruiz-Reynés , Lendert Gelens
{"title":"Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines","authors":"Daniel Cebrián-Lacasa ,&nbsp;Pedro Parra-Rivas ,&nbsp;Daniel Ruiz-Reynés ,&nbsp;Lendert Gelens","doi":"10.1016/j.physrep.2024.09.014","DOIUrl":"10.1016/j.physrep.2024.09.014","url":null,"abstract":"<div><div>The FitzHugh–Nagumo equation, originally conceived in neuroscience during the 1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its applicability, however, extends beyond neuroscience into fields like cardiac physiology, cell division, population dynamics, electronics, and other natural phenomena. In this review spanning six decades of research, we discuss the diverse spatio-temporal dynamical behaviors described by the FitzHugh–Nagumo equation. These include dynamics like bistability, oscillations, and excitability, but it also addresses more complex phenomena such as traveling waves and extended patterns in coupled systems. The review serves as a guide for modelers aiming to utilize the strengths of the FitzHugh–Nagumo model to capture generic dynamical behavior. It not only catalogs known dynamical states and bifurcations, but also extends previous studies by providing stability and bifurcation analyses for coupled spatial systems.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1096 ","pages":"Pages 1-39"},"PeriodicalIF":23.9,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142539561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Anomalous soft photons: Status and perspectives 反常软光子:现状与前景
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-10-22 DOI: 10.1016/j.physrep.2024.10.002
R. Bailhache , D. Bonocore , P. Braun-Munzinger , X. Feal , S. Floerchinger , J. Klein , K. Köhler , P. Lebiedowicz , C.M. Peter , R. Rapp , K. Reygers , W. Schäfer , H.S. Scheid , K. Schweda , J. Stachel , H. van Hees , C.A. van Veen , M. Völkl
{"title":"Anomalous soft photons: Status and perspectives","authors":"R. Bailhache ,&nbsp;D. Bonocore ,&nbsp;P. Braun-Munzinger ,&nbsp;X. Feal ,&nbsp;S. Floerchinger ,&nbsp;J. Klein ,&nbsp;K. Köhler ,&nbsp;P. Lebiedowicz ,&nbsp;C.M. Peter ,&nbsp;R. Rapp ,&nbsp;K. Reygers ,&nbsp;W. Schäfer ,&nbsp;H.S. Scheid ,&nbsp;K. Schweda ,&nbsp;J. Stachel ,&nbsp;H. van Hees ,&nbsp;C.A. van Veen ,&nbsp;M. Völkl","doi":"10.1016/j.physrep.2024.10.002","DOIUrl":"10.1016/j.physrep.2024.10.002","url":null,"abstract":"<div><div>This report summarizes the work of the EMMI Rapid Reaction Task Force on “Real and Virtual Photon Production at Ultra-Low Transverse Momentum and Low Mass at the LHC”. We provide an overview of the soft-photon puzzle, i.e., of the long-standing discrepancy between experimental data and predictions based on Low’s soft-photon theorem, also referred to as “anomalous” soft photon production, and we review the current theoretical understanding of soft radiation and soft theorems. We also focus on low-mass dileptons as a tool for determining the electrical conductivity of the medium produced in high-energy nucleus–nucleus collisions. We discuss how both topics can be addressed with the planned ALICE 3 detector at the LHC.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1097 ","pages":"Pages 1-40"},"PeriodicalIF":23.9,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploration at the high-energy frontier: ATLAS Run 2 searches investigating the exotic jungle beyond the Standard Model 高能前沿探索:ATLAS Run 2搜索调查标准模型之外的奇异丛林
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-10-16 DOI: 10.1016/j.physrep.2024.10.001
ATLAS Collaboration
{"title":"Exploration at the high-energy frontier: ATLAS Run 2 searches investigating the exotic jungle beyond the Standard Model","authors":"ATLAS Collaboration","doi":"10.1016/j.physrep.2024.10.001","DOIUrl":"10.1016/j.physrep.2024.10.001","url":null,"abstract":"<div><div>This report presents a comprehensive collection of searches for new physics performed by the ATLAS Collaboration during the Run 2 period of data taking at the Large Hadron Collider, from 2015 to 2018, corresponding to about 140 fb<sup>−1</sup> of <span><math><mrow><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>13</mn><mspace></mspace><mi>TeV</mi></mrow></math></span> proton–proton collision data. These searches cover a variety of beyond-the-standard model topics such as dark matter candidates, new vector bosons, hidden-sector particles, leptoquarks, or vector-like quarks, among others. Searches for supersymmetric particles or extended Higgs sectors are explicitly excluded as these are the subject of separate reports by the Collaboration. For each topic, the most relevant searches are described, focusing on their importance and sensitivity and, when appropriate, highlighting the experimental techniques employed. In addition to the description of each analysis, complementary searches are compared, and the overall sensitivity of the ATLAS experiment to each type of new physics is discussed. Summary plots and statistical combinations of multiple searches are included whenever possible.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1116 ","pages":"Pages 301-385"},"PeriodicalIF":23.9,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ATLAS searches for additional scalars and exotic Higgs boson decays with the LHC Run 2 dataset ATLAS使用LHC Run 2数据集搜索额外的标量和奇异的希格斯玻色子衰变
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-10-09 DOI: 10.1016/j.physrep.2024.09.002
{"title":"ATLAS searches for additional scalars and exotic Higgs boson decays with the LHC Run 2 dataset","authors":"","doi":"10.1016/j.physrep.2024.09.002","DOIUrl":"10.1016/j.physrep.2024.09.002","url":null,"abstract":"<div><div>This report reviews the published results of searches for possible additional scalar particles and exotic decays of the Higgs boson performed by the ATLAS Collaboration using up to 140 fb<sup>−1</sup> of 13 TeV proton–proton collision data collected during Run 2 of the Large Hadron Collider. Key results are examined, and observed excesses, while never statistically compelling, are noted. Constraints are placed on parameters of several models which extend the Standard Model, for example by adding one or more singlet or doublet fields, or offering exotic Higgs boson decay channels. Summaries of new searches as well as extensions of previous searches are discussed. These new results have a wider reach or attain stronger exclusion limits. New experimental techniques that were developed for these searches are highlighted. Search channels which have not yet been examined are also listed, as these provide insight into possible future areas of exploration.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1116 ","pages":"Pages 184-260"},"PeriodicalIF":23.9,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The quest to discover supersymmetry at the ATLAS experiment 在ATLAS实验中发现超对称的探索
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-09-28 DOI: 10.1016/j.physrep.2024.09.010
ATLAS Collaboration
{"title":"The quest to discover supersymmetry at the ATLAS experiment","authors":"ATLAS Collaboration","doi":"10.1016/j.physrep.2024.09.010","DOIUrl":"10.1016/j.physrep.2024.09.010","url":null,"abstract":"<div><div>The search for supersymmetry with the ATLAS experiment at the CERN Large Hadron Collider intensified after the discovery of the Higgs boson in 2012. The search programme expanded in both breadth and depth, profiting from the increased integrated luminosity and higher centre-of-mass energy for the collision data collected between 2015 and 2018, and gaining new sensitivity to unexplored areas of supersymmetry parameter space through the use of novel experimental signatures and innovative analysis techniques. This report summarises the supersymmetry searches at ATLAS using up to 140 fb<sup>−1</sup> of <span><math><mrow><mi>p</mi><mi>p</mi></mrow></math></span> collisions at <span><math><mrow><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>13</mn><mspace></mspace><mi>TeV</mi></mrow></math></span>, including the limits set on the production of gluinos, squarks, and electroweakinos for scenarios with or without R-parity conservation, and including models where some of the supersymmetric particles are long-lived.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1116 ","pages":"Pages 261-300"},"PeriodicalIF":23.9,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysing quantum systems with randomised measurements 分析随机测量的量子系统
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-09-27 DOI: 10.1016/j.physrep.2024.09.009
Paweł Cieśliński , Satoya Imai , Jan Dziewior , Otfried Gühne , Lukas Knips , Wiesław Laskowski , Jasmin Meinecke , Tomasz Paterek , Tamás Vértesi
{"title":"Analysing quantum systems with randomised measurements","authors":"Paweł Cieśliński ,&nbsp;Satoya Imai ,&nbsp;Jan Dziewior ,&nbsp;Otfried Gühne ,&nbsp;Lukas Knips ,&nbsp;Wiesław Laskowski ,&nbsp;Jasmin Meinecke ,&nbsp;Tomasz Paterek ,&nbsp;Tamás Vértesi","doi":"10.1016/j.physrep.2024.09.009","DOIUrl":"10.1016/j.physrep.2024.09.009","url":null,"abstract":"<div><div>Measurements with randomly chosen settings determine many important properties of quantum states without the need for a shared reference frame or calibration. They naturally emerge in the context of quantum communication and quantum computing when dealing with noisy environments, and allow the estimation of properties of complex quantum systems in an easy and efficient manner. In this review, we present the advancements made in utilising randomised measurements in various scenarios of quantum information science. We describe how to detect and characterise different forms of entanglement, including genuine multipartite entanglement and bound entanglement. Bell inequalities are discussed to be typically violated even with randomised measurements, especially for a growing number of particles and settings. Furthermore, we also present an overview on the estimation of non-linear functions of quantum states and shadow tomography from randomised measurements. Throughout the review, we complement the description of theoretical ideas by explaining key experiments.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1095 ","pages":"Pages 1-48"},"PeriodicalIF":23.9,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142357839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of large oscillations in electrostatic MEMS 静电微机电系统中的大振荡动力学
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-09-26 DOI: 10.1016/j.physrep.2024.09.011
Majed S. Alghamdi , Mahmoud E. Khater , Mohamed Arabi , Eihab M. Abdel-Rahman
{"title":"Dynamics of large oscillations in electrostatic MEMS","authors":"Majed S. Alghamdi ,&nbsp;Mahmoud E. Khater ,&nbsp;Mohamed Arabi ,&nbsp;Eihab M. Abdel-Rahman","doi":"10.1016/j.physrep.2024.09.011","DOIUrl":"10.1016/j.physrep.2024.09.011","url":null,"abstract":"<div><div>We present a comprehensive experimental study of the dynamics of electrostatic MEMS resonators under large excitations. We identified three frequency ranges where large oscillations occur; a non-resonant region driven by fast–slow dynamic interactions and two resonant regions. In these regions, we found a plethora of dynamic phenomena including cascades of period-doubling bifurcations, a bubble structure, homoclinic and cyclic-fold bifurcations, hysteresis, intermittencies, quasiperiodicity, chaotic attractors, odd-periodic windows within those attractors, Shilnikov orbits, and Shilnikov chaos.</div><div>We encountered these complex nonlinear dynamics phenomena under relatively high dissipation levels, the quality factors of the resonators examined in this study were Q <span><math><mo>=</mo></math></span> 6.2 and 2.1. In the case of MEMS with higher quality factors <span><math><mrow><mo>(</mo><mi>Q</mi><mo>&gt;</mo><mn>100</mn><mo>)</mo></mrow></math></span>, it is quite reasonable to expect those phenomena to appear under relatively low excitation levels (compared to the static pull-in voltage). This calls for a new paradigm in the design of electrostatic MEMS that seeks to manage dynamic phenomena rather than attempt to avoid them and, thereby, overly restricting the design space. We believe this is feasible given the repeatable and predictable nature of those phenomena.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1094 ","pages":"Pages 1-36"},"PeriodicalIF":23.9,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142323678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Circuit realization of topological physics 拓扑物理的电路实现
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-09-24 DOI: 10.1016/j.physrep.2024.09.007
Huanhuan Yang, Lingling Song, Yunshan Cao, Peng Yan
{"title":"Circuit realization of topological physics","authors":"Huanhuan Yang,&nbsp;Lingling Song,&nbsp;Yunshan Cao,&nbsp;Peng Yan","doi":"10.1016/j.physrep.2024.09.007","DOIUrl":"10.1016/j.physrep.2024.09.007","url":null,"abstract":"<div><div>Recently, topolectrical circuits (TECs) boom in studying the topological states of matter. The resemblance between circuit Laplacians and tight-binding models in condensed matter physics allows for the exploration of exotic topological phases on the circuit platform. In this review, we begin by presenting the basic equations for the circuit elements and units, along with the fundamentals and experimental methods for TECs. Subsequently, we retrospect the main literature in this field, encompassing the circuit realization of (higher-order) topological insulators and semimetals. Due to the abundant electrical elements and flexible connections, many unconventional topological states like the non-Hermitian, nonlinear, non-Abelian, non-periodic, non-Euclidean, and higher-dimensional topological states that are challenging to observe in conventional condensed matter physics, have been observed in circuits and summarized in this review. Furthermore, we show the capability of electrical circuits for exploring the physical phenomena in other systems, such as photonic and magnetic ones. Importantly, we highlight TEC systems are convenient for manufacture and miniaturization because of their compatibility with the traditional integrated circuits. Finally, we prospect the future directions in this exciting field, and connect the emerging TECs with the development of topology physics, (meta)material designs, and device applications.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1093 ","pages":"Pages 1-54"},"PeriodicalIF":23.9,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift 了解受参数漂移影响的低维动力系统中的混沌的进展概述
IF 23.9 1区 物理与天体物理
Physics Reports Pub Date : 2024-09-21 DOI: 10.1016/j.physrep.2024.09.003
Dániel Jánosi , Tamás Tél
{"title":"Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift","authors":"Dániel Jánosi ,&nbsp;Tamás Tél","doi":"10.1016/j.physrep.2024.09.003","DOIUrl":"10.1016/j.physrep.2024.09.003","url":null,"abstract":"<div><div>This paper offers a review while also studying yet unexplored features of the area of chaotic systems subjected to parameter drift of non-negligible rate, an area where the methods of traditional chaos theory are not applicable. Notably, periodic orbit expansion cannot be applied since no periodic orbits exist, nor do long-time limits, since for drifting physical processes the observational time can only be finite. This means that traditional Lyapunov-exponents are also ill-defined. Furthermore, such systems are non-ergodic, time and ensemble averages are different, the ensemble approach being superior to the single-trajectory view. In general, attractors and phase portraits are time-dependent in a non-periodic fashion. We describe the use of general methods which remain nevertheless applicable in such systems. In the phase space, the analysis is based on stable and unstable foliations, their intersections defining a Smale horseshoe, and the intersection points can be identified with the chaotic set governing the core of the drifting chaotic dynamics. Because of the drift, foliations and chaotic sets are also time-dependent, snapshot objects. We give a formal description for the time-dependent natural measure, illustrated by numerical examples. As a quantitative indicator for the strength of chaos, the so-called ensemble-averaged pairwise distance (EAPD) can be evaluated at any time instant. The derivative of this function can be considered the instantaneous (largest) Lyapunov exponent. We show that snapshot chaotic saddles, the central concept of transient chaos, can be identified in drifting systems as the intersections of the foliations, possessing a time-dependent escape rate in general. In dissipative systems, we find that the snapshot attractor coincides with the unstable foliation, and can consist of more than one component. These are a chaotic one, an extended snapshot chaotic saddle, and multiple regular time-dependent attractor points. When constructing the time-dependent basins of attraction of the attractor points, we find that the basin boundaries are time-dependent and fractal-like, containing the stable foliation, and that they can even exhibit Wada properties. In the Hamiltonian case, we study the phenomenon of the break-up of tori due to the drift in terms of both foliations and EAPD functions. We find that time-dependent versions of chaotic seas are not always fully chaotic, they can contain non-chaotic regions. Within such regions we identify time-dependent non-hyperbolic regions, the analogs of sticky zones of classical Hamiltonian phase spaces. We provide approximate formulas for the information dimension of snapshot objects, based on time-dependent Lyapunov exponents and escape rates. Besides these results, we also give possible applications of our methods e.g. in climate science and in the area of Lagrangian Coherent Structures.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1092 ","pages":"Pages 1-64"},"PeriodicalIF":23.9,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142310391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信