Statistical Physics of Non-Thermal Phase Transitions: From Foundations to Applications [Paperback]

This book addresses the application of methods used in statistical physics to complex systemsfrom 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 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)

Statistical physics can be used to better understand non-thermal complex systemsphenomena such as stock-market crashes, revolutions in society and in science, fractures in engineered materials and in the Earths 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, falã&