Complexity Entropy And The Physics Of Information

In the second, metric case ( = 1), h becomes the metric entropy hμ=limα→1hα=−dλαdα. ... quantifying computation in physical processes, the following sections address a concrete problem: the complexity of cascade transitions to chaos.

Author: Wojciech H. Zurek

Publisher: CRC Press

ISBN: 9780429982514

Category: Science

Page: 548

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This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.
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Starbursts Triggers Nature and Evolution

Besides the entropy sink resulting from cooling, star formation provides a natural entropy source for the interstellar gas. Stars, end point of the entropy cascade, form in the coldest and densest gas phase, identified in the Galaxy as ...

Author: Bruno Guiderdoni

Publisher: Springer

ISBN: 9783662297421

Category: Science

Page: 255

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Starbursts are regions of unusually rapid star formation, often located in the central parts of galaxies. They differ from more normal regions of star formation in terms of the throughput of mass and the rapidity with which the gas is consumed. In the last twenty years, extensive observational data at most wavelengths have become available on starbursts, but many important issues remain to be addressed, observationally as well as theoretically. How are strong episodes of star formation triggered? What is the quantity of gas converted into stars during bursts? What is the initial mass function of stars in these events? How does the feedback from stars influence the interstellar medium and self-regulate star formation? What is the subsequent chemical and photometric evolution? How do starbursts rule the formation and evolution of galaxies? In recent years, many observational data at different wavelengths (optical, radio, infrared, X-ray) have become available. However, these observations are still fragmentary in the sense that different classes of objects have been observed in different ways, and the coverage is not consistently deep or complete. As a consequence, an overall observational picture of starburst galaxies is missing, and theoretical understanding and modelling have remained highly tentative. The purpose of the school Starbursts: Triggers, Nature, and Evolution was to gather theorists and observers with complementary approaches to the starburst phenomenon, in order to summarize the state-of-the-art of the observations and models, emphasizing the consistency of the various viewpoints.
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Turbulent Cascades II

This analogy enables to define the thermodynamical quantity of entropy. Furthermore, precision results on entropy statistics can be shown. For each cascade trajectory, which we define as the complete evolution of a velocity increment ...

Author: Mikhael Gorokhovski

Publisher: Springer

ISBN: 9783030125479

Category: Technology & Engineering

Page: 294

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Gathering contributions by the most prominent researchers in a highly specialised field, this proceedings volume clarifies selected aspects of the physics of turbulent cascades and their statistical universalities under complex stationary and non-homogeneous conditions. Here, these conditions are induced by the presence of a gas/liquid interface, inertial particles, strong shear, rotation, MHD and stratification. By proposing different ways to model turbulence effects under these complex conditions, the book will be of considerable interest not only to academic researchers, but also to specialists and junior researchers in the domain of propulsion and power, as well as those whose work involves various applications related to atmospheric, oceanic and planetary physics.
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Entropy Applications in Environmental and Water Engineering

The Role of Zeros in the Generalized Space q-Entropy With the aim of studying the influence of zeros in the estimation of the GSEF, we simulated rainfall fields using the BL-Model with cascade parameters p = 0.10,0.35 and 0.95.

Author: Huijuan Cui

Publisher: MDPI

ISBN: 9783038972228

Category: Technology & Engineering

Page: 512

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Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture, sediment transport, surface water and groundwater quality modeling, ecosystems modeling, water distribution networks, environmental and water resources management, and parameter estimation. Such applications have used several different entropy formulations, such as Shannon, Tsallis, Rényi, Burg, Kolmogorov, Kapur, configurational, and relative entropies, which can be derived in time, space, or frequency domains. More recently, entropy-based concepts have been coupled with other theories, including copula and wavelets, to study various issues associated with environmental and water resources systems. Recent studies indicate the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering, including establishing and explaining physical connections between theory and reality. The objective of this Special Issue is to provide a platform for compiling important recent and current research on the applications of entropy theory in environmental and water engineering. The contributions to this Special Issue have addressed many aspects associated with entropy theory applications and have shown the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering.
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High Entropy Materials Theory Experiments and Applications

12.6 A comparison of average surviving damage in the classical MD cascade, the MD cascade including electronic stopping force, and the 2T-MD cascade at the end of the simulation for 50 keV Ni cascades in Ni, Ni80Fe20 , and NiFe.

Author: Jamieson Brechtl

Publisher: Springer Nature

ISBN: 9783030776411

Category: Alloys

Page: 776

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This book discusses fundamental studies involving the history, modelling, simulation, experimental work, and applications on high-entropy materials. Topics include data-driven and machine-learning approaches, additive-manufacturing techniques, computational and analytical methods, such as density functional theory and multifractal analysis, mechanical behavior, high-throughput methods, and irradiation effects. The types of high-entropy materials consist of alloys, oxides, and ceramics. The book then concludes with a discussion on potential future applications of these novel materials. Includes both experimental and theoretical approaches for fundamental understanding of the behavior of high-entropy materials Discusses interesting and innovative approaches to studying various phenomena, such as machine learning, additive manufacturing, mechanical behavior, high-throughput techniques, and irradiation effects in high-entropy materials Facilitates the applications of high-entropy materials Provides an accessible reference for a broad audience of both academic, national laboratory, and industrial experts.
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Nonlinear MHD Waves and Turbulence

Then the presence of the entropy modu– lation in the background structure does not modify the behaviour of the p-b ... entropy fluctuations prevail; such fluctuations should result from an entropy cascade from large to small scales.

Author: Thierry Passot

Publisher: Springer

ISBN: 9783540470380

Category: Science

Page: 385

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The workshop "Nonhnear MHD Waves and Turbulence" was held at the - servatoire de Nice, December 1-4, 1998 and brought together an international group of experts in plasma physics, fluid dynamics and applied mathematics. The aim of the meeting was to survey the current knowledge on two main topics: (i) propagation of plasma waves (like Alfven, whistler or ion-acoustic waves), their instabilities and the development of a nonlinear dynamics lea ding to solitonic structures, wave collapse or weak turbulence; (ii) turbulence in magnetohydrodynamic flows and its reduced description in the presence of a strong ambient magnetic fleld. As is well known, both aspects play an important role in various geophysical or astrophysical media such as the - gnetospheres of planets, the heliosphere, the solar wind, the solar corona, the interplanetary and interstellar media, etc. This volume, which includes expanded versions of oral contributions pre sented at this meeting, should be of interest for a large community of resear chers in space plasmas and nonlinear sciences. Special effort was made to put the new results into perspective and to provide a detailed literature review. A main motivation was the attempt to relate more closely the theoretical un derstanding of MHD waves and turbulence (both weak and strong) with the most recent observations in space plasmas. Some papers also bring interesting new insights into the evolution of hydrodynamic or magnetohydrodynamic structures, based on systematic asymptotic methods.
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IUTAM Symposium on Elementary Vortices and Coherent Structures Significance in Turbulence Dynamics

The entropy S ≡ 12 ∫ T2dx is a conserved quantity of 2D-FC system in the inviscid limit, andS cascades from larger to smaller scales similar to the energy cascade in 3D-NS turbulence (Toh & Suzuki 1994). This entropy cascade leads ...

Author: Shigeo Kida

Publisher: Springer Science & Business Media

ISBN: 9781402041815

Category: Technology & Engineering

Page: 360

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Elementary vortices – those tubular swirling vortical structures with concentrated vorticity commonly observed in various kinds of turbulent flows – play key roles in turbulence dynamics (e.g. enhancement of mixing, diffusion and resistance) and characterize turbulence statistics (e.g. intermittency). Because of their dynamical importance, manipulation of elementary vortices is expected to be effective and useful in turbulence control as well as in construction of turbulence modeling. The most advanced research works on elementary vortices and related problems were presented and discussed at the IUTAM Symposium in Kyoto, Japan, 26-28 October 2004. This book contains 40 contributions presented there, the subjects of which cover vortex dynamics, coherent structures, chaotic advection and mixing, statistical properties of turbulence, rotating and stratified turbulence, instability and transition, dynamics of thin vortices, finite-time singularity, and superfluid turbulence. The book should be useful for readers of graduate and advanced levels in the field of fluid turbulence.
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Magnetic Fields in Diffuse Media

This inherently kinetic physical mechanism represents the final element of the kinetic turbulent cascade, governing the final transition of the turbulent energy to its ultimate fate as plasma heat. The ion entropy cascade in ...

Author: Alexander Lazarian

Publisher: Springer

ISBN: 9783662446256

Category: Science

Page: 623

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This volume presents the current knowledge of magnetic fields in diffuse astrophysical media. Starting with an overview of 21st century instrumentation to observe astrophysical magnetic fields, the chapters cover observational techniques, origin of magnetic fields, magnetic turbulence, basic processes in magnetized fluids, the role of magnetic fields for cosmic rays, in the interstellar medium and for star formation. Written by a group of leading experts the book represents an excellent overview of the field. Nonspecialists will find sufficient background to enter the field and be able to appreciate the state of the art.
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Entropy and Information Theory

We will often wish to connect more than one channel in cascade in order to form a communication system, e.g., the original source is connected to a deterministic channel (encoder) which is connected to a communications channel which is ...

Author: Robert M. Gray

Publisher: Springer Science & Business Media

ISBN: 9781441979704

Category: Technology & Engineering

Page: 409

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This book is an updated version of the information theory classic, first published in 1990. About one-third of the book is devoted to Shannon source and channel coding theorems; the remainder addresses sources, channels, and codes and on information and distortion measures and their properties. New in this edition: Expanded treatment of stationary or sliding-block codes and their relations to traditional block codes Expanded discussion of results from ergodic theory relevant to information theory Expanded treatment of B-processes -- processes formed by stationary coding memoryless sources New material on trading off information and distortion, including the Marton inequality New material on the properties of optimal and asymptotically optimal source codes New material on the relationships of source coding and rate-constrained simulation or modeling of random processes Significant material not covered in other information theory texts includes stationary/sliding-block codes, a geometric view of information theory provided by process distance measures, and general Shannon coding theorems for asymptotic mean stationary sources, which may be neither ergodic nor stationary, and d-bar continuous channels.
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Fractal and Trans scale Nature of Entropy

Extension to complex systems: cascades of endoreversible Carnot engines 5.4.1. Cascade of power Carnot engines The cascade of Carnot engine cycles is maintained here, for complex systems. The basic cascade is represented in the (T, ...

Author: Diogo Queiros Conde

Publisher: Elsevier

ISBN: 9780081017906

Category: Science

Page: 252

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Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Develop a new vision of entropy in thermodynamics Study the concept of entropy Propose a simple interpretation the entropy of Hawking Demonstrate entropy as a measure of energy dispersal
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