Statistical Physics of Non-Thermal Phase Transitions
From Foundations to Applications
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Beschreibung
Statistical physics can be used to better understand non-thermal complex systems—phenomena such as stock-market crashes, revolutions in society and in science, fractures in engineered materials and in the Earth’s crust, catastrophes, traffic jams, petroleum clusters, polymerization, self-organized criticality and many others exhibit behaviors resembling those of thermodynamic systems. In particular, many of these systems possess phase transitions identical to critical or spinodal phenomena in statistical physics. The application of the well-developed formalism of statistical physics to non-thermal complex systems may help to predict and prevent such catastrophes as earthquakes, snow-avalanches and landslides, failure of engineering structures, or economical crises.
This book addresses the issue step-by-step, from phenomenological analogies between complex systems and statistical physics to more complex aspects, such as correlations, fluctuation-dissipation theorem, susceptibility, the concept of free energy, renormalization group approach and scaling. Fractals and multifractals, the Ising model, percolation, damage phenomena, critical and spinodal phase transitions, crossover effects and finite-size effects are some of the topics covered in Statistical Physics of Non-Thermal Phase Transitions.
This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.
Presents a systematic approach to build analogies between complex systems' behavior and statistical physics Directly addresses questions of the applicability of statistical physics to complex systems Contains many exercises and is richly illustrated Includes supplementary material: sn.pub/extras
Autor*in
Sergey G. Abaimov
Themen in »Statistical Physics of Non-Thermal Phase Transitions«
Damage Mechanics Model Fluctuation Dissipation Theorem Susceptibility Free Energy Formalism Ising Model Tutorial Percolation Theory Complex System Renormalization Group Ising Model Scaling and Renormalization complexity
Stimmen zu »Statistical Physics of Non-Thermal Phase Transitions«
“The present book in which one shows that fractals are pervasive everywhere in the Ising model, percolation, damage phenomena, renormalization group and scaling. … The chapters are almost self-containing. It is a nice book quite suitable for a personal library.” (Guy Jumarie, zbMATH, Vol.1325.82001, 2015)
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