Beyond the Second Law

Entropy Production and Non-equilibrium Systems

ISBN: 978-3-642-40153-4 (Print) 978-3-642-40154-1 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Introduction

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-27

      Beyond the Second Law: An Overview

  3. Theoretical Perspectives on Entropy Production

    1. Front Matter

      Pages 29-29

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      Chapter

      Pages 31-47

      The Dissipation Function: Its Relationship to Entropy Production, Theorems for Nonequilibrium Systems and Observations on Its Extrema

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      Chapter

      Pages 49-71

      A Theoretical Basis for Maximum Entropy Production

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      Chapter

      Pages 73-95

      Dissipation Rate Functions, Pseudopotentials, Potentials and Yield Surfaces

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      Chapter

      Pages 97-112

      Fluctuations, Trajectory Entropy and Ziegler’s Maximum Entropy Production Principle

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      Chapter

      Pages 113-128

      The Time Evolution of Entropy Production in Nonlinear Dynamic Systems

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      Chapter

      Pages 129-162

      Control Volume Analysis, Entropy Balance and the Entropy Production in Flow Systems

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      Chapter

      Pages 163-182

      Earth System Dynamics Beyond the Second Law: Maximum Power Limits, Dissipative Structures, and Planetary Interactions

  4. Applications to non-equilibrium systems

    1. Front Matter

      Pages 183-183

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      Chapter

      Pages 185-199

      Predictive Use of the Maximum Entropy Production Principle for Past and Present Climates

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      Chapter

      Pages 201-223

      Thermodynamic Insights into Transitions Between Climate States Under Changes in Solar and Greenhouse Forcing

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      Chapter

      Pages 225-239

      Entropy Production in Planetary Atmospheres and Its Applications

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      Chapter

      Pages 241-256

      Entropy Production-Based Closure of the Moment Equations for Radiative Transfer

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      Chapter

      Pages 257-276

      MaxEP and Stable Configurations in Fluid–Solid Interactions

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      Chapter

      Pages 277-290

      Can the Principle of Maximum Entropy Production be Used to Predict the Steady States of a Rayleigh-Bérnard Convective System?

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      Chapter

      Pages 291-307

      Bifurcation, Stability, and Entropy Production in a Self-Organizing Fluid/Plasma System

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      Chapter

      Pages 309-322

      MaxEnt and MaxEP in Modeling Fractal Topography and Atmospheric Turbulence

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      Chapter

      Pages 323-335

      Entropic Bounds for Multi-Scale and Multi-Physics Coupling in Earth Sciences

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      Chapter

      Pages 337-359

      Use of Receding Horizon Optimal Control to Solve MaxEP-Based Biogeochemistry Problems

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      Chapter

      Pages 361-382

      Maximum Entropy Production and Maximum Shannon Entropy as Germane Principles for the Evolution of Enzyme Kinetics

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      Chapter

      Pages 383-396

      Entropy Production and Morphological Selection in Crystal Growth

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