Statistical Physics of Non-Thermal Phase Transitions - From Foundations to Applications

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.

List of contents

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.

Summary

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.

Additional text

“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)

Report

"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)

Product details

• Authors: Sergey Abaimov, Sergey G Abaimov, Sergey G. Abaimov
• Publisher: Springer, Berlin
• Original title: : - 57
• Languages: English
• Product format: Hardback
• Released: 01.01.2015
• EAN: 9783319124681
• ISBN: 978-3-31-912468-1
• No. of pages: 497
• Dimensions: 160 mm x 242 mm x 34 mm
• Weight: 896 g
• Illustrations: XIV, 497 p. 144 illus., 2 illus. in color.
• Series: Springer Series in Synergetics; Springer Series in Synergetics
• Subjects: Guides > Hobby, home; Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; B, complexity, Complex systems, Theoretical, Mathematical and Computational Physics, Physics and Astronomy, Phase Transitions and Multiphase Systems, Phase transitions (Statistical physics), Dynamical systems, Cybernetics & systems theory, Dynamics & statics, Statistical physics, Statistical Physics and Dynamical Systems, Applied Dynamical Systems, Computational complexity