Dewar R.C. et al. (eds.) Beyond the Second Law: Entropy Production and Non-equilibrium Systems

Springer, 2014. — 434 p.The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology.
Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role.
Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques.
Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture.Beyond the Second Law: An Overview (by Roderick C. Dewar, Charles H. Lineweaver, Robert K. Niven and Klaus Regenauer-Lieb).
Theoretical Perspectives on Entropy Production
The Dissipation Function: Its Relationship to Entropy Production, Theorems for Nonequilibrium Systems and Observations on Its Extrema (by James C. Reid, Sarah J. Brookes, Denis J. Evans and Debra J. Searles).
A Theoretical Basis for Maximum Entropy Production (by Roderick C. Dewar and Amos Maritan).
Dissipation Rate Functions, Pseudopotentials, Potentials and Yield Surfaces (by Guy T. Houlsby).
Fluctuations, Trajectory Entropy and Ziegler’s Maximum Entropy Production Principle (by Vladimir D. Seleznev and Leonid M. Martyushev).
The Time Evolution of Entropy Production in Nonlinear Dynamic Systems (by Hisashi Ozawa and Shinya Shimokawa).
Control Volume Analysis, Entropy Balance and the Entropy Production in Flow Systems (by Robert K. Niven and Bernd R. Noack).
Earth System Dynamics Beyond the Second Law: Maximum Power Limits, Dissipative Structures, and Planetary Interactions (by Axel Kleidon, Erwin Zehe, Uwe Ehret and Ulrike Scherer).
Applications to Non-equilibrium Systems
Predictive Use of the Maximum Entropy Production Principle for Past and Present Climates (by Corentin Herbert and Didier Paillard).
Thermodynamic Insights into Transitions Between Climate States Under Changes in Solar and Greenhouse Forcing (by Robert Boschi, Valerio Lucarini and Salvatore Pascale).
Entropy Production in Planetary Atmospheres and Its Applications (by Yosuke Fukumura and Hisashi Ozawa).
Entropy Production-Based Closure of the Moment Equations for Radiative Transfer (by Thomas Christen and Frank Kassubek).
MaxEP and Stable Configurations in Fluid–Solid Interactions (by Ashwin Vaidya).
Can the Principle of Maximum Entropy Production be Used to Predict the Steady States of a Rayleigh-Bérnard Convective System? (by Iain Weaver, James G. Dyke and Kevin Oliver).
Bifurcation, Stability, and Entropy Production in a Self-Organizing Fluid/Plasma System (by Zensho Yoshida and Yohei Kawazura).
MaxEnt and MaxEP in Modeling Fractal Topography and Atmospheric Turbulence (by Jingfeng Wang, Veronica Nieves and Rafael L. Bras).
Entropic Bounds for Multi-Scale and Multi-Physics Coupling in Earth Sciences (by Klaus Regenauer-Lieb, Ali Karrech, Hui Tong Chua, Thomas Poulet, Manolis Veveakis, Florian Wellmann, Jie Liu, Christoph Schrank, Oliver Gaede, Mike G. Trefry, Alison Ord, Bruce Hobbs, Guy Metcalfe and Daniel Lester).
Use of Receding Horizon Optimal Control to Solve MaxEP-Based Biogeochemistry Problems (by Joseph J. Vallino, Christopher K. Algar, Nuria Fernández González and Julie A. Huber).
Maximum Entropy Production and Maximum Shannon Entropy as Germane Principles for the Evolution of Enzyme Kinetics (by Andrej Dobovišek, Paško Zupanovic, Milan Brumen and Davor Juretic).
Entropy Production and Morphological Selection in Crystal Growth (by Leonid M. Martyushev).
Maximum Entropy Production by Technology (by Peter K. Haff).
The Entropy of the Universe and the Maximum Entropy Production Principle (by Charles H. Lineweaver).