Complexity, Metastability And Nonextensivity: An International Conference CTNEXT 2007, Catinia, Italy 1-5 July 2007

, by Abe, Sumiyoshi; Herrmann, Hans; Quarati, Piero; Rapisarda, Andrea; Tsallis, Constantino

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ISBN: 9780735404816 | 073540481X
Cover: Hardcover
Copyright: 1/1/2008

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All papers have been peer-reviewed. This volume gives an updated overview of current interdisciplinary studies on complex systems and nonextensive statistical mechanics. It is an ideal starting point for scientists and graduate students who wish to enter the field. The book features a diverse collection of the latest research work not found in a single volume elsewhere. Among the highly regarded contributors to the volume are the 2004 Boltzmann medalist H. E. Stanley and numerous internationally renowned experts, such as S. Abe, P-H. Chavanis, C. Beck, G. Casati, D. Farmer, H. Herrmann, R. Mantegna, J. Naudts, A. Plastino, A Robledo, B. Spagnolo C. Tsallis and many others.

Preface	p. ix
Conference Photos	p. xi
Foundations of Statistical Mechanics
New Axiomatics for Statistical Mechanics	p. 3
Nonextensive Statistical Mechanics and Central Limit Theorems I-Convolution of Independent Random Variables and q-Product	p. 8
Nonextensive Statistical Mechanics and Central Limit Theorems II-Convolution of q-Independent Random Variables	p. 21
On Multivariate Generalizations of the q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics	p. 34
Compatibility between Dynamics and Tsallis Statistics	p. 43
Extensive Nonadditive Entropy in Quantum Spin Chains	p. 51
Correlations in Superstatistical Systems	p. 60
Entropies for Complex Systems: Generalized-Generalized Entropies	p. 68
Tsallis Distribution from Minimally Selected Order Statistics	p. 76
A Rooted Tree Whose Lower Bound of Average Description Length Is Given by Tsallis Entropy	p. 80
Generalised Thermostatistics Using Hyperensembles	p. 84
Projections Maximizing Tsallis Entropy	p. 90
Combinatorial Entorpy for Distinguishable Entities in Indistinguishable States	p. 96
Exponential Families and MaxEnt Calculations for Entropy Measures of Statistical Physics	p. 104
Some Aspects of the Dynamics towards the Supercycle Attractors and Their Accumulation Point, the Feigenbaum Attractor	p. 114
The Hamiltonian Mean Field Model: Anomalous or Normal Diffusion?	p. 122
Anomalous Diffusion and Quasistationarity in the HMF Model	p. 129
Stochastic Dynamics
Generalized Canonical Formalism for the Fokker-Planck Equation with Scale-invariant Solutions	p. 139
General Properties of Nonlinear Mean Field Fokker-Planck Equations	p. 144
Nonlinear Fokker-Planck Equations Related to Standard Thermostatistics	p. 152
From Einstein to Generalized Diffusion	p. 157
Enhancement of Stability in Systems with Metastable States	p. 165
On the Non-linear Fokker-Planck Equation Associated with k-Entropy	p. 177
Stochastic Dynamics in Polymer Translocation	p. 181
Role of the Colored Noise in a FitzHugh-Nagumo System Driven by a Periodic Signal	p. 185
Noise Induced Effects in Overdamped Josephson Junction in the Presence of Colored Noise	p. 190
Physical and Biological Systems
New Results on Water in Bulk, Nanoconfined, and Biological Environments	p. 193
Fibre Models	p. 213
Heat Flow in Classical and Quantum Systems and Thermal Rectification	p. 221
On the Nonextensive Character of Some Magnetic Systems	p. 232
Neuronal Avalanches and Brain Plasticity	p. 237
Elastic and Quasi-elastic Incoherent Neutron Scattering: An Integrated Experimental, Theoretical, and Simulative Approach on Systems of Biophysical Interest of Increasing Complexity	p. 245
Astrophysics
Nuclear Astrophysics in a q-Environment	p. 249
Tsallis Distribution Functions in the Solar Wind: Magnetic Field and Velocity Observations	p. 259
Statistical Mechanics of SDSS Galaxy Distribution and Cosmological N-body Simulations	p. 267
Nonextensivity in the Spectrum of Cosmic Rays: A Possible Physical Explanation	p. 273
Geophysics
Magnitude Corrleations and Dynamical Scaling for Seismicity	p. 277
Self-organized Criticality and Earthquakes	p. 281
Economic and Social Systems
Correlations and Clustering in the Trading of Members of the London Stock Exchange	p. 287
Spectral Properties of Correlation Matrices for Some Hierarchically Nested Factor Models	p. 300
Remarks on the Condorcet's Paradox	p. 308
Equivalence of Different Binary Choice Models	p. 315
"Social Temperature"-Relation between Binary Choice Model and Ising Model	p. 317
Networks
Modules Indentification by a Dynamical Clustering Algorithm Based on Chaotic Rössler Oscillators	p. 323
Searching for Modules of Networks in the Auto-encoder Frame	p. 332
Generalized Entropies and Open Random and Scale-free Networks	p. 336
Properties of a Memory Network in Psychology	p. 342
Author Index	p. 347
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Complexity, Metastability And Nonextensivity: An International Conference CTNEXT 2007, Catinia, Italy 1-5 July 2007

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