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This book, first published in 2004, describes the application of statistical physics and complex systems theory to the study of the evolution and structure of the Internet. Using a statistical physics approach the Internet is viewed as a growing system that evolves in time through the addition and removal of nodes and links. This perspective permits us to outline the dynamical theory required for a description of the macroscopic evolution of the Internet. The presence of such a theoretical framework appears to be a revolutionary and promising path towards our understanding of the Internet and the various processes taking place on this network, including, for example, the spread of computer viruses or resilience to random or intentional damages. This book will be of interest to graduate students and researchers in statistical physics, computer science and mathematics studying in this subject.
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This book reviews some of the classic aspects in the theory of phasetransitions and critical phenomena, which has a longhistory. Recently, these aspects are attracting much attention due toessential new contributions. The topics presented in this bookinclude: mathematical theory of the Ising model; equilibrium andnon-equilibrium criticality of one-dimensional quantum spin chains;influence of structural disorder on the critical behaviour of thePotts model; criticality, fractality and multifractality of linkedpolymers; field-theoretical approaches in the superconducting phasetransitions.
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Statistical physics. --- Statistical mechanics. --- Physique statistique. --- Mécanique statistique.
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This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and "hard" calculations are presented here. This text can also serve as an ideal reference on applications of Quantum Field Theory (QFT). The author gives a comprehensive treatment of the subject, but in a manner easily understood by anyone familiar with the basic of statistical physics. Both students and working scientists can benefit from this text. OTI #1 C2417
Critical phenomena (Physics). --- Renormalization group. --- Statistical physics. --- Stochastic processes.
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Photonuclear reactions. --- Quantum theory. --- Statistical physics. --- Quantum mechanics. Quantumfield theory --- Photonuclear reactions --- Quantum theory --- Statistical physics --- Théorie quantique --- Physique statistique
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A great variety of complex phenomena in many scientific fields exhibit power-law behaviour, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to description using approaches drawn from thermodynamics or statistical mechanics, particularly approaches involving the maximization of entropy. During recent years a good deal of study has been devoted to a nonextensive generalizations of entropy and of Boltzmann-Gibbs statistical mechanics and standard laws in a natural way. The book addresses the interdisciplinary applications of these ideas, and also on various phenomena that could possibly be quantitatively describable in terms of these ideas.
Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Mécanique statistique
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