Statistical Physics of Non-Thermal Phase Transitions

From Foundations to Applications

Sergey G. Abaimov (Autor)

Buch | Hardcover

XIV, 497 Seiten

2015 | 2015
Springer International Publishing (Verlag)
978-3-319-12468-1 (ISBN)

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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)

Erscheint lt. Verlag	9.6.2015
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
Gewicht	896 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Complexity • Damage Mechanics Model • Fluctuation Dissipation Theorem Susceptibility • Free Energy Formalism • Ising Model Tutorial • Percolation Theory Complex System • Renormalization Group Ising Model • Scaling and Renormalization
ISBN-10	3-319-12468-4 / 3319124684
ISBN-13	978-3-319-12468-1 / 9783319124681
Zustand	Neuware