Statistical physics of non-thermal phase transitions : from foundations to applications

Author(s)

    • Abaimov, Sergey G.

Bibliographic Information

Statistical physics of non-thermal phase transitions : from foundations to applications

Sergey G. Abaimov

(Springer series in synergetics)(Springer complexity)

Springer, c2015

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Includes index

Description and Table of Contents

Description

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.

Table 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.

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