Statistical Physics of Non-Thermal Phase Transitions
From Foundations to Applications
Seiten
2016
|
1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-35528-3 (ISBN)
Springer International Publishing (Verlag)
978-3-319-35528-3 (ISBN)
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.
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.
"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)
Erscheinungsdatum | 14.10.2016 |
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Reihe/Serie | Springer Series in Synergetics |
Zusatzinfo | XIV, 497 p. 144 illus., 2 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
Schlagworte | Complexity • Complex Systems • Condensed matter physics (liquid state and solid s • Cybernetics and systems theory • Damage Mechanics Model • Dynamics and statics • Fluctuation Dissipation Theorem Susceptibility • Free Energy Formalism • Ising Model Tutorial • Percolation Theory Complex System • Phase Transitions and Multiphase Systems • Physics • Physics and Astronomy • Renormalization Group Ising Model • Scaling and Renormalization • Statistical Physics • Statistical Physics and Dynamical Systems |
ISBN-10 | 3-319-35528-7 / 3319355287 |
ISBN-13 | 978-3-319-35528-3 / 9783319355283 |
Zustand | Neuware |
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