Nonextensive Statistical Mechanics

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Constantino TsallisIntroduction to NonextensiveStatistical MechanicsApproaching a Complex World123
Page 2: Introduction to Nonextensive Statis
Page 8: To my family,whose love is the root
Page 12: viiiPrefaceThird, the dynamical fou
Page 16: xPrefaceuniversality classes of non
Page 20: xiiPrefacein the view of many - in
Page 24: xivPrefacecritical - to entire math
Page 28: xviContents3.3 Correlations, Occupa
Page 32: xviiiContents7.2.4 Ground State Ene
Page 36: Chapter 1Historical Background and
Page 40: 1.1 Introduction 5whereand∑W A∑
Page 44: 1.2 Background and Indications in t
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1.4 A Few Words on the Foundations
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20 2 Learning with Boltzmann-Gibbs
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38 3 Generalizing What We Learntwho
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40 3 Generalizing What We Learnt1e
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42 3 Generalizing What We Learnt3q
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44 3 Generalizing What We Learntas
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46 3 Generalizing What We LearntFig
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50 3 Generalizing What We LearntLet
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52 3 Generalizing What We Learnt(i)
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54 3 Generalizing What We Learntin
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56 3 Generalizing What We Learntran
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58 3 Generalizing What We Learntg(T
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60 3 Generalizing What We LearntThe
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62 3 Generalizing What We Learnt1/(
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66 3 Generalizing What We LearntLet
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68 3 Generalizing What We LearntThe
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70 3 Generalizing What We LearntTab
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72 3 Generalizing What We LearntTab
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74 3 Generalizing What We Learnt100
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76 3 Generalizing What We Learntpro
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78 3 Generalizing What We Learnt100
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80 3 Generalizing What We Learnt0.0
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82 3 Generalizing What We Learntspi
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84 3 Generalizing What We Learnt0.8
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86 3 Generalizing What We LearntThi
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88 3 Generalizing What We Learnt1 (
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90 3 Generalizing What We Learntwhe
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92 3 Generalizing What We LearntIf
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94 3 Generalizing What We LearntBec
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96 3 Generalizing What We Learntwhe
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98 3 Generalizing What We Learntste
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100 3 Generalizing What We Learntq-
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102 3 Generalizing What We Learntwh
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104 3 Generalizing What We Learntth
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106 3 Generalizing What We LearntTa
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Chapter 4Stochastic Dynamical Found
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4.4 Correlated Anomalous Diffusion
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4.5 Stable Solutions of Fokker-Plan
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4.6 Probabilistic Models with Corre
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4.7 Central Limit Theorems 135Fig.
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4.7 Central Limit Theorems 137See F
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4.8 Generalizing the Langevin Equat
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4.8 Generalizing the Langevin Equat
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4.9 Time-Dependent Ginzburg-Landau
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Chapter 5Deterministic Dynamical Fo
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5.1 Low-Dimensional Dissipative Map
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5.2 Low-Dimensional Conservative Ma
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5.3 High-Dimensional Conservative M
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5.3 High-Dimensional Conservative M
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5.4 Many-Body Long-Range-Interactin
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5.5 The q-Triplet 1910.500.48N = 20
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5.5 The q-Triplet 19310 010 -1N = 2
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5.6 Connection with Critical Phenom
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5.7 A Conjecture on the Time and Si
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p5.7 A Conjecture on the Time and S
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210 6 Generalizing Nonextensive Sta
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Chapter 7Thermodynamical and Nonthe
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7.1 Physics 223Fig. 7.1 Computation
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7.1 Physics 225hypergeometric funct
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7.1 Physics 227Fig. 7.6 The dashed
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7.1 Physics 229Fig. 7.7 Example sha
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7.1 Physics 231Fig. 7.11 Experiment
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7.1 Physics 2337.1.4 FingeringWhen
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7.1 Physics 235Fig. 7.16 The vertic
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7.1 Physics 237Fig. 7.19 Measured (
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7.1 Physics 239Fig. 7.23 Time evolu
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7.1 Physics 2417.1.8 Astrophysics7.
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7.1 Physics 243Fig. 7.28 Top: Fits
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7.1 Physics 245Fig. 7.30 Log-Log pl
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7.1 Physics 247Fig. 7.32 Dependence
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7.1 Physics 249Fig. 7.36 Data colla
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7.1 Physics 251Fig. 7.39 Cumulative
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7.1 Physics 253a0-1--2-3-4-5- - - -
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7.1 Physics 2551.25fit in Fig.2Eq.(
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7.1 Physics 2574.0q relc3.53.02.52.
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7.2 Chemistry 259Fig. 7.49 (a) Dime
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7.2 Chemistry 261Fig. 7.52 d = 2(a)
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7.2 Chemistry 263Fig. 7.55 Snapshot
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7.2 Chemistry 265Fig. 7.58 Log-log
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7.3 Economics 267Fig. 7.60 Ground-s
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7.4 Computer Sciences 269Fig. 7.64
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7.5 Biosciences 281Fig. 7.82 Image
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7.8 Scale-Free Networks 283Fig. 7.8
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7.8 Scale-Free Networks 285a1b1cumu
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7.10 Other Sciences 295Fig. 7.102 S
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7.10 Other Sciences 297Fig. 7.105 F
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7.10 Other Sciences 299Fig. 7.109 Z
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7.10 Other Sciences 301Fig. 7.112 C
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Chapter 8Final Comments and Perspec
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8.1 Falsifiable Predictions and Con
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8.2 Frequently Asked Questions 309i
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8.2 Frequently Asked Questions 311B
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8.2 Frequently Asked Questions 313(
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8.2 Frequently Asked Questions 315o
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8.2 Frequently Asked Questions 317p
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8.2 Frequently Asked Questions 319n
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8.2 Frequently Asked Questions 321L
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8.2 Frequently Asked Questions 323(
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8.2 Frequently Asked Questions 3254
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8.3 Open Questions 327This is a fre
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330 Appendix A Useful Mathematical
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336 Appendix B Escort Distributions
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Bibliography1. J.W. Gibbs, Elementa
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Bibliography 34541. A. Rapisarda an
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Bibliography 34784. A.N. Kolmogorov
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Bibliography 349123. T. Schneider,
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Bibliography 351178. A. Campa, A. G
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Bibliography 353230. S. Abe and A.K
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Bibliography 355279. K. Briggs and
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Bibliography 357329. T. Kodama, H.-
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Bibliography 359Italy), eds. C. Bec
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Bibliography 361431. M.J.A. Bolzan,
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Bibliography 363479. T. Cattaert, M
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Bibliography 365528. P.H. Chavanis,
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Bibliography 367579. G.A. Tsekouras
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Bibliography 369631. J. Schulte, No
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Bibliography 371678. D. Fuks, S. Do
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Bibliography 373723. L.J. Yang, M.P
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Bibliography 375767. S. Sun, L. Zha
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Bibliography 377813. S. Abe, Tsalli
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Bibliography 379862. S. Boccaletti,
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382 IndexKekule, ixKepler, xiiKrylo
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Nonextensive Statistical Mechanics

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