Structures on Different Time Scales

Structures on Different Time Scales PDF Author: Theo Woike
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110433923
Category : Science
Languages : en
Pages : 282

Get Book

Book Description
This book presents theory and methods to study the structure of condensed matter on different time scales. The authors cover the structure analysis by X-ray diffraction methods from crystalline to amorphous materials, from static-relaxed averaged structures to short-lived electronically excited structures, including detailed descriptions of the time-resolved experimental methods. Complementary, an overview of the theoretical description of condensed matter by static and time-dependent density functional theory is given, starting from the fundamental quantities that can be obtained by these methods through to the recent challenges in the description of time dependent phenomena such as optical excitations. Contents Static structural analysis of condensed matter: from single-crystal to amorphous DFT calculations of solids in the ground state TDDFT, excitations, and spectroscopy Time-resolved structural analysis: probing condensed matter in motion Ultrafast science

Structures on Different Time Scales

Structures on Different Time Scales PDF Author: Theo Woike
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110433907
Category : Science
Languages : en
Pages : 282

Get Book

Book Description
This book presents theory and methods to study the structure of condensed matter on different time scales. The authors cover the structure analysis by X-ray diffraction methods from crystalline to amorphous materials, from static-relaxed averaged structures to short-lived electronically excited structures, including detailed descriptions of the time-resolved experimental methods. Complementary, an overview of the theoretical description of condensed matter by static and time-dependent density functional theory is given, starting from the fundamental quantities that can be obtained by these methods through to the recent challenges in the description of time dependent phenomena such as optical excitations. Contents Static structural analysis of condensed matter: from single-crystal to amorphous DFT calculations of solids in the ground state TDDFT, excitations, and spectroscopy Time-resolved structural analysis: probing condensed matter in motion Ultrafast science

Multiple Time Scale Dynamics

Multiple Time Scale Dynamics PDF Author: Christian Kuehn
Publisher: Springer
ISBN: 3319123165
Category : Mathematics
Languages : en
Pages : 816

Get Book

Book Description
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.

Bridging the Time Scales

Bridging the Time Scales PDF Author: Peter Nielaba
Publisher: Springer Science & Business Media
ISBN: 3540458379
Category : Science
Languages : en
Pages : 498

Get Book

Book Description
The behaviour of many complex materials extends over time- and lengthscales well beyond those that can normally be described using standard molecular dynamics or Monte Carlo simulation techniques. As progress is coming more through refined simulation methods than from increased computer power, this volume is intended as both an introduction and a review of all relevant modern methods that will shape molecular simulation in the forthcoming decade. Written as a set of tutorial reviews, the book will be of use to specialists and nonspecialists alike.

Integrating Timescales from Molecules Up

Integrating Timescales from Molecules Up PDF Author: Rene A. Nome
Publisher: Frontiers Media SA
ISBN: 2889668606
Category : Science
Languages : en
Pages : 83

Get Book

Book Description


Understanding Complex Urban Systems

Understanding Complex Urban Systems PDF Author: Christian Walloth
Publisher: Springer
ISBN: 3319301780
Category : Technology & Engineering
Languages : en
Pages : 140

Get Book

Book Description
This book is devoted to the modeling and understanding of complex urban systems. This second volume of Understanding Complex Urban Systems focuses on the challenges of the modeling tools, concerning, e.g., the quality and quantity of data and the selection of an appropriate modeling approach. It is meant to support urban decision-makers—including municipal politicians, spatial planners, and citizen groups—in choosing an appropriate modeling approach for their particular modeling requirements. The contributors to this volume are from different disciplines, but all share the same goal: optimizing the representation of complex urban systems. They present and discuss a variety of approaches for dealing with data-availability problems and finding appropriate modeling approaches—and not only in terms of computer modeling. The selection of articles featured in this volume reflect a broad variety of new and established modeling approaches such as: - An argument for using Big Data methods in conjunction with Agent-based Modeling; - The introduction of a participatory approach involving citizens, in order to utilize an Agent-based Modeling approach to simulate urban-growth scenarios; - A presentation of semantic modeling to enable a flexible application of modeling methods and a flexible exchange of data; - An article about a nested-systems approach to analyzing a city’s interdependent subsystems (according to these subsystems’ different velocities of change); - An article about methods that use Luhmann’s system theory to characterize cities as systems that are composed of flows; - An article that demonstrates how the Sen-Nussbaum Capabilities Approach can be used in urban systems to measure household well-being shifts that occur in response to the resettlement of urban households; - A final article that illustrates how Adaptive Cycles of Complex Adaptive Systems, as well as innovation, can be applied to gain a better understanding of cities and to promote more resilient and more sustainable urban futures.

Dynamic Equations on Time Scales and Applications

Dynamic Equations on Time Scales and Applications PDF Author: Ravi P Agarwal
Publisher: CRC Press
ISBN: 1040103731
Category : Mathematics
Languages : en
Pages : 435

Get Book

Book Description
This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics

Investigating Participant Structures in the Context of Science Instruction

Investigating Participant Structures in the Context of Science Instruction PDF Author: Richard Lehrer
Publisher: Routledge
ISBN: 1135479291
Category : Education
Languages : en
Pages : 122

Get Book

Book Description
First Published in 2004. This special issue of Cognition and Instruction features three manuscripts investigating particular aspects of classroom participant structures, specifically in the context of science instruction. Participant structures is a term introduced four decades ago to describe the roles, rights, and responsibilities regarding who can say what, to whom, and when in the course of classroom activity.

MicroRNA Regulatory Network: Structure and Function

MicroRNA Regulatory Network: Structure and Function PDF Author: Zengrong Liu
Publisher: Springer
ISBN: 9402415777
Category : Science
Languages : en
Pages : 224

Get Book

Book Description
This book discusses topics related to the topological structure and biological function of gene networks regulated by microRNAs. It focuses on analyzing the relation between topological structure and biological function, applying these theoretical results to gene networks involving microRNA, illustrating their biological mechanisms, and identifying the roles of microRNA in controlling various phenomena emerging from the networks. In addition, the book explains how to control the complex biological phenomena using mathematical tools and offers a new perspective on studying microRNA. It is a useful resource for graduate students and researchers who are working on or interested in microRNAs and gene network.

Nonequilibrium Physics at Short Time Scales

Nonequilibrium Physics at Short Time Scales PDF Author: Klaus Morawetz
Publisher: Springer Science & Business Media
ISBN: 3662089904
Category : Science
Languages : en
Pages : 499

Get Book

Book Description
This introductory level text addresses the broad range of nonequilibrium phenomena observed at short time scales. It focuses on the important questions of correlations and memory effects in dense interacting systems. Experiments on very short time scales are characterized, in particular, by strong correlations far from equilibrium, by nonlinear dynamics, and by the related phenomena of turbulence and chaos. The impressive successes of experiments using pulsed lasers to study the properties of matter and of the new methods of analysis of the early phases of heavy ion reactions have necessitated a review of the available many-body theoretical methods. The aim of this book is thus to provide an introduction to the experimental and theoretical methods that help us to understand the behaviour of such systems when disturbed on very short time scales.

Multiplicity of Time Scales in Complex Systems

Multiplicity of Time Scales in Complex Systems PDF Author: Bernhelm Booss
Publisher: Springer Nature
ISBN: 3031280490
Category : System theory
Languages : en
Pages : 477

Get Book

Book Description
Zusammenfassung: This highly interdisciplinary volume brings together a carefully curated set of case studies examining complex systems with multiple time scales (MTS) across a variety of fields: materials science, epidemiology, cell physiology, mathematics, climatology, energy transition planning, ecology, economics, sociology, history, and cultural studies. The book addresses the vast diversity of interacting processes underlying the behaviour of different complex systems, highlighting the multiplicity of characteristic time scales that are a common feature of many and showcases a rich variety of methodologies across disciplinary boundaries. Self-organizing, out-of-equilibrium, ever-evolving systems are ubiquitous in the natural and social world. Examples include the climate, ecosystems, living cells, epidemics, the human brain, and many socio-economic systems across history. Their dynamical behaviour poses great challenges in the pressing context of the climate crisis, since they may involve nonlinearities, feedback loops, and the emergence of spatial-temporal patterns, portrayed by resilience or instability, plasticity or rigidity; bifurcations, thresholds and tipping points; burst-in excitation or slow relaxation, and worlds of other asymptotic behaviour, hysteresis, and resistance to change. Chapters can be read individually by the reader with special interest in such behaviours of particular complex systems or in specific disciplinary perspectives. Read together, however, the case studies, opinion pieces, and meta-studies on MTS systems presented and analysed here combine to give the reader insights that are more than the sum of the book's individual chapters, as surprising similarities become apparent in seemingly disparate and unconnected systems. MTS systems call into question naïve perceptions of time and complexity, moving beyond conventional ways of description, analysis, understanding, modelling, numerical prediction, and prescription of the world around us. This edited collection presents new ways of forecasting, introduces new means of control, and - perhaps as the most demanding task - it singles out a sustainable description of an MTS system under observation, offering a more nuanced interpretation of the floods of quantitative data and images made available by high- and low-frequency measurement tools in our unprecedented era of information flows