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Book Cover
Author Gentili, Pier Luigi

Title Untangling Complex Systems : a Grand Challenge for Science
Published Milton : Chapman and Hall/CRC, 2018


Description 1 online resource (589 pages)
Contents Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; About the Author; Chapter 1: Introduction; 1.1 The Never-Ending Journey to Discovering the Secrets of Nature; 1.1.1 The "Practical Period"; 1.1.2 The "Philosophical Period"; 1.1.3 The "Experimental Period"; 1.1.4 The "Computational Period"; 1.2 What Is Science, Today?; 1.3 Purpose and Contents of This Book; 1.4 Key Questions; 1.5 Key Words; 1.6 Hints for Further Reading; Chapter 2: Reversibility or Irreversibility? That Is the Question!; 2.1 Introduction; 2.2 The Thermodynamic Approach
2.2.1 The Classical Definition of Entropy2.2.2 The Statistical Definition of Entropy; 2.2.3 The Logical Definition of Entropy; 2.3 An Exhausting Fight against Entropy; 2.3.1 The Maxwell's Demon; 2.3.2 A First Mechanical Attempt; 2.3.3 Another Mechanical Attempt; 2.3.4 The Involvement of Artificial Intelligence: A "Thought Experiment"; 2.3.5 The Embodiment of Maxwell's Demon: A "Real Experiment"; 2.3.6 The Surprising Behavior of Small Systems; 2.3.7 There Is Still an Open Question; 2.4 Key Questions; 2.5 Key Words; 2.6 Hints for Further Reading; 2.7 Exercises; 2.8 Solutions to the Exercises
Chapter 3: Out-of-Equilibrium Thermodynamics3.1 Introduction; 3.2 Definition of the Entropy Change for an Out-of-Equilibrium System; 3.2.1 Heat Conduction; 3.2.2 Chemical Reactions; 3.2.3 Diffusion; 3.2.4 Migration; 3.2.5 Generalization; 3.3 Non-equilibrium Thermodynamics in Linear Regime; 3.3.1 Fourier's Law: The Law of Heat Conduction; 3.3.2 Ohm's Law: The Law of Electrical Conduction; 3.3.3 Poiseuille's Law: The Law of Laminar Flow of Fluids; 3.3.4 Fick's Law: The Law of Diffusion; 3.3.5 Generalization: Symmetry Principle and Onsager Reciprocal Relations
3.3.6 An Experimental Proof of the Reciprocal Relations3.3.7 Cross-Diffusion; 3.3.8 Thermal Diffusion; 3.4 Evolution of Out-of-Equilibrium Systems in Linear Regime; 3.4.1 The Case of Heat Conduction; 3.4.2 The Case of Diffusion; 3.5 The Theorem of Minimum Entropy Production in Linear Regime; 3.5.1 A Single Force and Flow; 3.5.2 The Case of More Than One Force and One Flow; 3.6 Evolution of Out-of-Equilibrium Systems in Nonlinear Regime; 3.6.1 Chemical Reactions; 3.6.2 The Glansdorff-Prigogine Stability Criterion; 3.7 The Chemical Transformations and the Linear Regime
3.7.1 Onsager's Reciprocal Relations for Chemical Reactions3.7.2 A Particular Case; 3.8 The Evolution of Chemical Reactions in Open Systems; 3.8.1 The Mono-Dimensional Case; 3.8.2 The Bi-Dimensional Case; 3.8.3 The Multi-Dimensional Case; 3.9 Key Questions; 3.10 Key Words; 3.11 Hints for Further Reading; 3.12 Exercises; 3.13 Solutions to the Exercises; Chapter 4: An Amazing Scientific Voyage: From Equilibrium up to Self-Organization through Bifurcations; 4.1 Introduction; 4.2 Bifurcations; 4.2.1 Saddle-Node Bifurcation; 4.2.2 Trans-Critical Bifurcation
Summary Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space
Notes From a Lamp to a Laser: An Example of Trans-Critical Bifurcation
Print version record
Subject Event processing (Computer science)
SCIENCE -- Chemistry -- Physical & Theoretical.
SCIENCE -- Mathematical Physics.
complex systems.
complex systems theory.
fuzzy logic.
molecular computing.
non lineaar processes.
Event processing (Computer science)
Form Electronic book
ISBN 9780429847547