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The idea of editing the present volume in the Lecture Notes in Physics series arosewhileorganizingthe“ConferenceonIrreversibleQuantumDynamics”that took place at The Abdus Salam International Center for Theoretical Physics, Trieste, Italy, from July 29 to August 2, 2002. The aim of the Conference was to bring together di?erent groups of - searcherswhoseinterestsandpursuitsinvolveirreversibilityandtimeasymmetry in quantum mechanics. The Conference promoted open and in-depth exchanges of di?erent points of view, concerning both the content and character of qu- tum irreversibility and the methodologies used to study it. The following main themes were addressed: • Theoretical Aspects of Quantum Irreversible Dynamics • Open Quantum Systems and Applications • Foundational Aspects of Irreversible Quantum Dynamics • Asymmetric Time Evolution and Resonances Eachthemewasreviewedbyanexpertinthe?eld,accompaniedbymorespeci?c, research-like shorter talks. The whole topic of quantum irreversibility in all its manifold aspects has always raised a lot of interest, starting with the description of unstable systems in quantum mechanics and the issue of quantum measurement. Further, in - cent years a boost of activity concerning noise, dissipation and open systems has been prompted by the fast developing ?eld of quantum communication and information theory. These considerations motivated the editors to put together a volume that tries to summarize the present day status of the research in the ?eld, with the aim of providing the reader with an accessible and exhaustive introduction to it.
The theory of nonlinear dynamics and chaos, and the extent to which recent improvements in the understanding of inherently nonlinear natural processes present challenges to the use of mathematical models in the analysis of water and environmental systems, are elaborated in this work.
Leading research, perspectives, and analysis of dynamical systems and irreversibility Edited by Nobel Prize winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. Volume 122 collects papers from the XXI Solvay Conference on Physics, dedicated to the exploration of "Dynamical Systems and Irreversibility." Ioannis Antoniou, Deputy Director of the International Solvay Institutes for Physics and Chemistry, edits and assembles this cutting-edge research, including articles such as "Non-Markovian Effects in the Standard Map," "Harmonic Analysis of Unstable Systems," "Age and Age Fluctuations in an Unstable Quantum System," and discussion of many more subjects. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.
The book focuses on the study of the temporal behavior of complex many-particle systems. The phenomenon of time and its role in the temporal evolution of complex systems is a remaining mystery. The book presents the necessity of the interdisciplinary point of view regarding on the phenomenon of time.The aim of the present study is to summarize and formulate in a concise but clear form the trends and approaches to the concept of time from a broad interdisciplinary perspective exposing tersely the complementary approaches and theories of time in the context of thermodynamics, statistical physics, cosmology, theory of information, biology and biophysics, including the problem of time and aging. Various approaches to the problem show that time is an extraordinarily interdisciplinary and multifaceted underlying notion which plays an extremely important role in various natural complex processes.
This volume contains the collected works of the eminent chemist and physicist Lars Onsager, one of the most influential scientists of the 20th Century.The volume includes Onsager''s previously unpublished PhD thesis, a biography by H C Longuet-Higgins and M E Fisher, an autobiographical commentary, selected photographs, and a list of Onsager discussion remarks in print.Onsager''s scientific achievements were characterized by deep insights into the natural sciences. His two best-known accomplishments are his reciprocal relations for irreversible processes, for which he received the 1968 Nobel Prize in Chemistry, and his explicit solution of the two-dimensional Ising model, a mathematical tour de force that created a sensation when it appeared. In addition, he made significant theoretical contributions to other fields, including electrolytes, colloids, superconductivity, turbulence, ice, electrons in metals, and dielectrics.In this volume, Onsager''s contributions are divided into the following fields: irreversible processes; the Ising model; electrolytes; colloids; helium II and vortex quantization; off-diagonal long-range order and flux quantization; electrons in metal; turbulence; ion recombination; fluctuation theory; dielectrics; ice and water; biology; Mathieu functions. The different fields are evaluated by leading experts. The commentators are P W Anderson, R Askey, A Chorin, C Domb, R J Donnelly, W Ebeling, J-C Justice, H N W Lekkerkerker, P Mazur, H P McKean, J F Nagle, T Odijk, A B Pippard, G Stell, G H Weiss, and C N Yang.
As part of the Environmental and Ecological Modeling Handbooks series, the Handbook of Ecosystem Theories and Management provides a comprehensive overview of ecosystem theory and the tools - ecological engineering, ecological modeling, ecotoxicology and ecological economics -to manage these systems. The book is laid out to provide a summary or survey of each topic, using many tables and figures. Concepts, definitions, important findings, basic hypotheses, important correlations between theories and observation with illustrative graphs are included. The comprehensive treatment of ecosystem theory and application of theoretical tools, and the integration of classical theory and real world examples, sets this book apart. It covers newly emerging topical areas as well as nontraditional topical areas (i.e. chaos) that will interest professionals trained in previous decades and enlighten those now entering into formal training. The general approach taken by the authors makes this an essential reference and handbook for professionals and students.
The volume as its first target aims at clarifying that peculiar entanglement of complexity, causality, meaning, emergence and intentionality that characterises the unfolding of the "natural forms" of human cognition As is well known, cognition is not only a self-organising process. It is also a co-operative and coupled process. If we consider the external environment as a complex, multiple and stratified Source which interacts with the nervous system, we can easily realise that the cognitive activities devoted to the "intelligent" search for the depth information living in the Source, may determine the very change of the complexity conditions according to which the Source progressively expresses its "wild" action. In this sense, simulation models are not neutral or purely speculative: the true cognition actually appears to be necessarily connected with successful forms of reading, those forms, in particular, that permit a specific coherent unfolding of the deep information content of the Source. Therefore, the simulation models, if valid, materialise as "creative" channels, i.e., as autonomous functional systems, as the very roots of a new possible development of the entire system represented by mind and its Reality. From a general point of view, the objectivity of Reality is also proportionate to the autonomy reached by cognitive processes. In this sense, at the level of cultural evolution, reference procedures act as guide, mirror and canalisation with respect to primary information flows and involved selective forces: they offer themselves as the actual instruments for the constant renewal of the code, for the invention and the actual articulation of an ever-new incompressibility. From an effective point of view, they appear as indissolubly linked to the successive definition of specific (and innovative) measures of the epistemic complexity. These measures cannot concern only statistical rarity (Shannon) or computational incompressibility (Kolmogorov-Chaitin), on the contrary they should also be able to take into account the coupled connection between the Source and the cognitive agent, the evolution of this connection as well as the successive constitution of meaning as symbolic form. Hence the possible (and necessary) definition of new axiomatic systems, new measure spaces, the real displaying of processes of continuous reorganisation at the semantic level. Indeed, it is only through a complete, first-order "reduction" and a correlated non-standard second-order analysis that new incompressibility will actually manifest itself. Therefore, the reference procedures appear to be related to a process of multiplication of minds, as well as to a process of "clarification" of meanings which finally emerges as vision via principles.
This volume covers the fundamental theory of Cellular Neural Networks as well as their applications in various fields such as science and technology. It contains all 83 papers of the 7th International Workshop on Cellular Neural Networks and their Applications. The workshop follows a biennial series of six workshops consecutively hosted in Budapest (1990), Munich, Rome, Seville, London and Catania (2000).