The Earth's Dissipative Structures

The Earth's Dissipative Structures PDF Author: Oleg V. Petrov
Publisher: Springer
ISBN: 331993614X
Category : Science
Languages : en
Pages : 283

Book Description
This volume describes physical, formal mathematical and exterior (morpho-structural) manifestations of wave dynamics of the Earth, defining both its deep structural image, and the external shape of planet. In addition to the standard imagination about waves in the geological environment as short-term seismological and seismic effects, wave dynamics of the Earth are considered as long-time process, comparable to the geochronological scale. The book consists of a systematic description of the conformities discovered in the set of heterogeneous and different-order objects, which have space-related regularity and recurrence at the different levels of resolution of analysis of natural systems. For expert-geologist it includes the basis of the geodynamic wave-related concept which enables to add to the traditional concept of plate tectonics, as well as the methods of quantitative interpretation of measured geo-fields.

Thermodynamic Foundations of the Earth System

Thermodynamic Foundations of the Earth System PDF Author: Axel Kleidon
Publisher: Cambridge University Press
ISBN: 1107029945
Category : Science
Languages : en
Pages : 397

Book Description
An accessible book for graduate students and researchers that describes how the laws of thermodynamics apply to Earth system processes.

Thermodynamic Foundations of the Earth System

Thermodynamic Foundations of the Earth System PDF Author: Axel Kleidon
Publisher: Cambridge University Press
ISBN: 1316558592
Category : Science
Languages : en
Pages : 397

Book Description
Thermodynamics sets fundamental laws for all physical processes and is central to driving and maintaining planetary dynamics. But how do Earth system processes perform work, where do they derive energy from, and what are the limits? This accessible book describes how the laws of thermodynamics apply to Earth system processes, from solar radiation to motion, geochemical cycling and biotic activity. It presents a novel view of the thermodynamic Earth system explaining how it functions and evolves, how different forms of disequilibrium are being maintained, and how evolutionary trends can be interpreted as thermodynamic trends. It also offers an original perspective on human activity, formulating this in terms of a thermodynamic, Earth system process. This book uses simple conceptual models and basic mathematical treatments to illustrate the application of thermodynamics to Earth system processes, making it ideal for researchers and graduate students across a range of Earth and environmental science disciplines.

Dynamics of the Earth's Evolution

Dynamics of the Earth's Evolution PDF Author: Roman Teisseyre
Publisher: Elsevier
ISBN: 1483291596
Category : Science
Languages : en
Pages : 484

Book Description
This sixth volume in the monograph series Physics and Evolution of the Earth's Interior presents the problems of the mature evolution of the Earth's interior. It provides comprehensive coverage of the present state of the mantle convection theory. The relations between paleomagnetism, plate tectonics and mantle convection theory are discussed. A more general view of the evolution based on the thermodynamics of irreversible processes is also given. This book will interest geophysicists, geologists, geodesists and planetologists.

A Dynamical Systems Theory of Thermodynamics

A Dynamical Systems Theory of Thermodynamics PDF Author: Wassim M. Haddad
Publisher: Princeton University Press
ISBN: 0691192596
Category : Science
Languages : en
Pages : 741

Book Description
A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

The Earth’s Free Oscillations

The Earth’s Free Oscillations PDF Author: Oleg V. Petrov
Publisher: Springer Nature
ISBN: 3030675173
Category : Science
Languages : en
Pages : 113

Book Description
This book presents the formulations and solutions of the wave equation for the Earth’s free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three “great geometries” of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three “great theorems”: Galilean, Lorentz, and Poincaré spatiotemporal transformations.

Self-Organization and Dissipative Structures

Self-Organization and Dissipative Structures PDF Author: William C. Schieve
Publisher: University of Texas Press
ISBN: 1477300325
Category : Science
Languages : en
Pages : 374

Book Description
The contributions to this volume attempt to apply different aspects of Ilya Prigogine's Nobel-prize-winning work on dissipative structures to nonchemical systems as a way of linking the natural and social sciences. They address both the mathematical methods for description of pattern and form as they evolve in biological systems and the mechanisms of the evolution of social systems, containing many variables responding to subjective, qualitative stimuli. The mathematical modeling of human systems, especially those far from thermodynamic equilibrium, must involve both chance and determinism, aspects both quantitative and qualitative. Such systems (and the physical states of matter which they resemble) are referred to as self-organized or dissipative structures in order to emphasize their dependence on the flows of matter and energy to and from their surroundings. Some such systems evolve along lines of inevitable change, but there occur instances of choice, or bifurcation, when chance is an important factor in the qualitative modification of structure. Such systems suggest that evolution is not a system moving toward equilibrium but instead is one which most aptly evokes the patterns of the living world. The volume is truly interdisciplinary and should appeal to researchers in both the physical and social sciences. Based on a workshop on dissipative structures held in 1978 at the University of Texas, contributors include Prigogine, A. G. Wilson, Andre de Palma, D. Kahn, J. L. Deneubourgh, J. W. Stucki, Richard N. Adams, and Erick Jantsch. The papers presented include Allen, "Self-Organization in the Urban System"; Robert Herman, "Remarks on Traffic Flow Theories and the Characterization of Traffic in Cities"; W. H. Zurek and Schieve, "Nucleation Paradigm: Survival Threshold in Population Dynamics"; De Palma et al., "Boolean Equations with Temporal Delays"; Nicholas Georgescu-Roegin, "Energy Analysis and Technology Assessment"; Magoroh Maruyama, "Four Different Causal Meta-types in Biological and Social Sciences"; and Jantsch, "From Self-Reference to Self-Transcendence: The Evolution of Self-Organization Dynamics."

Earthquake Thermodynamics and Phase Transformation in the Earth's Interior

Earthquake Thermodynamics and Phase Transformation in the Earth's Interior PDF Author: Roman Teisseyre
Publisher: Academic Press
ISBN: 0080530656
Category : Science
Languages : en
Pages : 697

Book Description
A group of distinguished scientists contributes to the foundations of a new discipline in Earth sciences: earthquake thermodynamics and thermodynamics of formation of the Earth's interior structures. The predictive powers of thermodynamics are so great that those aspiring to model earthquake and the Earth's interior will certainly wish to be able to use the theory. Thermodynamics is our only method of understanding and predicting the behavior of many environmental, atmospheric, and geological processes. The need for Earth scientists to develop a functional knowledge of thermodynamic concepts and methodology is therefore urgent. Sources of an entropy increase the dissipative and self-organizing systems driving the evolution and dynamics of the Universe and Earth through irreversible processes. The non-linear interactions lead to the formation of fractal structures. From the structural phase transformations the important interior boundaries emerge.Non-linear interactions between the defects in solids lead the authors to develop the physics of continua with a dense distribution of defects. Disclinations and dislocations interact during a slow evolution as well as during rapid dynamic events, like earthquakes. Splitting the dynamic processes into the 2D fault done and 3D surrounding space brings a new tool for describing the slip nucleation and propagation along the earthquake faults. Seismic efficiency, rupture velocity, and complexity of seismic source zone are considered from different points of view, fracture band earthquake model is developed on the basis of thermodynamics of line defects, like dislocations. Earthquake thermodynamics offers us a microscopic model of earthquake sources.Physics of defects helps the authors decscribe and explain a number of precursory phenomena caused by the buildup of stresses. Anomalies in electric polarization and electromagnetic radiation prior to earthquakes are considered from this point of view. Through the thermodynamic approach, the authors arrive at the fascinating question of posssibility of earthquake prediction. In general, the Earth is considered here as a multicomponent system. Transport phenomena as well as wave propagation and shock waves are considered in this system subjected also to chemical and phase transformations.

Dissipative Structures and Chaos

Dissipative Structures and Chaos PDF Author: Hazime Mori
Publisher: Springer Science & Business Media
ISBN: 3642803768
Category : Science
Languages : en
Pages : 306

Book Description
This book consists of two parts, the first dealing with dissipative structures and the second with the structure and physics of chaos. The first part was written by Y. Kuramoto and the second part by H. Mori. Throughout the book, emphasis is laid on fundamental concepts and methods rather than applications, which are too numerous to be treated here. Typical physical examples, however, including nonlinear forced oscilla tors, chemical reactions with diffusion, and Benard convection in horizontal fluid layers, are discussed explicitly. Our consideration of dissipative structures is based on a phenomenolog ical reduction theory in which universal aspects of the phenomena under consideration are emphasized, while the theory of chaos is developed to treat transport phenomena, such as the mixing and diffusion of chaotic orbits, from the viewpoint of the geometrical phase space structure of chaos. The title of the original, Japanese version of the book is Sanitsu Kozo to Kaosu (Dissipative Structures and Chaos). It is part of the Iwanami Koza Gendai no Butsurigaku (Iwanami Series on Modern Physics). The first Japanese edition was published in March 1994 and the second in August 1997. We are pleased that this book has been translated into English and that it can now have an audience outside of Japan. We would like to express our gratitude to Glenn Paquette for his English translation, which has made this book more understandable than the original in many respects.

Global Overshoot

Global Overshoot PDF Author: doug cocks
Publisher: Springer Science & Business Media
ISBN: 1461462657
Category : Science
Languages : en
Pages : 415

Book Description
Global Overshoot is a multidisciplinary analysis (including history and pre-history) from an ecological and evolutionary perspective of the contemporary world system. This book compares and critiques attitudes held by people with different world views to the hypothetical prospect of large widespread falls in quality of life. It also draws insights from these two analyses to develop and suggest a philosophy of Ecohumanism to people of good will who want to think constructively about the world’s converging problems, i.e. think altruistically and ‘think like an evolving ecosystem.’