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Statistical Physics of Non-Thermal Phase Transitions: From Foundations to Applications: Springer Series in Synergetics

Autor Sergey G. Abaimov
en Limba Engleză Hardback – 9 iun 2015
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.
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Specificații

ISBN-13: 9783319124681
ISBN-10: 3319124684
Pagini: 488
Ilustrații: XIV, 497 p. 144 illus., 2 illus. in color.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.89 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Springer
Seria Springer Series in Synergetics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Preface.- Fractals.- Stastistical Physics, Ensemble Theory, Free Energy Potential.- The Ising Model.- The Theory of Percolation.- Damage Phenomena.- Correlations, Susceptibility, and the Fluctuation-Dissipation Theorem.- The Renormalization Group.- Scaling, the Finite-Size Effect, Cross-Over Effects.

Recenzii

“The present book in which one shows that fractalsare 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)

Textul de pe ultima copertă

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.

Caracteristici

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