Nonextensive Statistical Mechanics

More documents

Recommendations

Info

268 7 Thermodynamical and Nonthermodynamical ApplicationsFig. 7.62 Ground-state energy of the doped fullerenes after discounting the energy of purefullerene (as all calculated by a Functional Density Theory method) as a function of the atomicnumber Z. It runs from 6 C to 29 Cu. The red line has been calculated with Eq. (7.25) by replacingE H by E FUL =−14.98 ev. Its q-log vs. linear representation yields once again R 2 = 1withsix-digit precision! (from [581]).Fig. 7.63 Distributions of log returns over 1 minute intervals for 10 high-volume stocks. Solid line:q-Gaussian with q = 1.43. Dashed line: Gaussian (from [583]).
Page 2:
Introduction to Nonextensive Statis
Page 6:
Constantino TsallisCentro Brasileir
Page 10:
PrefaceIn 1902, after three decades
Page 14:
Prefaceixequation inspired by the p
Page 18:
Prefacexinearby. 4 Nonextensive sta
Page 22:
Prefacexiiicircular epicycles. So w
Page 26:
ContentsPart IBasics or How the The
Page 30:
Contentsxvii5.2 Low-Dimensional Con
Page 34:
Part IBasics or How the Theory Work
Page 38:
4 1 Historical Background and Physi
Page 42:
Page 46:
Page 50:
10 1 Historical Background and Phys
Page 54:
Page 58:
Page 62:
Page 66:
Chapter 2Learning with Boltzmann-Gi
Page 70:
2.1 Boltzmann-Gibbs Entropy 212.1.2
Page 74:
2.1 Boltzmann-Gibbs Entropy 232.1.2
Page 78:
2.1 Boltzmann-Gibbs Entropy 25where
Page 82:
2.1 Boltzmann-Gibbs Entropy 27the s
Page 86:
2.2 Kullback-Leibler Relative Entro
Page 90:
2.3 Constraints and Entropy Optimiz
Page 94:
2.4 Boltzmann-Gibbs Statistical Mec
Page 98:
2.4 Boltzmann-Gibbs Statistical Mec
Page 102:
Chapter 3Generalizing What We Learn
Page 106:
3.1 Playing with Differential Equat
Page 110:
3.2 Nonadditive Entropy S q 41We sh
Page 114:
3.2 Nonadditive Entropy S q 43This
Page 118:
3.2 Nonadditive Entropy S q 453.2.2
Page 122:
3.2 Nonadditive Entropy S q 47we ca
Page 126:
3.2 Nonadditive Entropy S q 49S BG
Page 130:
3.2 Nonadditive Entropy S q 51with
Page 134:
3.2 Nonadditive Entropy S q 53whose
Page 138:
3.3 Correlations, Occupancy of Phas
Page 142:
Page 146:
Page 150:
Page 154:
Page 158:
Page 162:
Page 166:
Page 170:
Page 174:
Page 178:
Page 182:
Page 186:
Page 190:
Page 194:
Page 198:
3.4 q-Generalization of the Kullbac
Page 202:
3.4 q-Generalization of the Kullbac
Page 206:
3.5 Constraints and Entropy Optimiz
Page 210:
3.6 Nonextensive Statistical Mechan
Page 214:
Page 218:
Page 222:
Page 226:
3.7 About the Escort Distribution a
Page 230:
3.7 About the Escort Distribution a
Page 234:
3.8 About Universal Constants in Ph
Page 238:
3.9 Various Other Entropic Forms 10
Page 242:
Part IIFoundations or Why the Theor
Page 246:
110 4 Stochastic Dynamical Foundati
Page 250:
Page 254:
Page 258:
Page 262:
Page 266:
Page 270:
Page 274:
Page 278:
Page 282:
Page 286:
Page 290:
Page 294:
Page 298:
Page 302:
Page 306:
Page 310:
Page 314:
Page 318:
Page 322:
Page 326:
Page 330:
152 5 Deterministic Dynamical Found
Page 334:
Page 338:
Page 342:
Page 346:
Page 350:
Page 354:
Page 358:
Page 362:
10 -5 1 10 100 100010 -5 1 10 100 1
Page 366:
Page 370:
Page 374:
Page 378:
Page 382:
Page 386:
Page 390:
Page 394:
Page 398:
Page 402:
Page 406:
Page 410:
Page 414:
Page 418:
Page 422:
Page 426:
Page 430:
Page 434:
Page 438:
Page 442:
Chapter 6Generalizing Nonextensive
Page 446:
6.2 Further Generalizing 211dydx =
Page 450:
6.2 Further Generalizing 213∫ W{
Page 454:
6.2 Further Generalizing 215Then, f
Page 458:
6.2 Further Generalizing 217If f (
Page 462:
Part IIIApplications or What for th
Page 466:
222 7 Thermodynamical and Nonthermo
Page 470:
Page 474:
Page 478:
Page 482:
Page 486:
Page 490:
Page 494:
Page 498:
Page 502:
Page 506: 242 7 Thermodynamical and Nonthermo
Page 560: 7.4 Computer Sciences 269Fig. 7.64
Page 584: 7.5 Biosciences 281Fig. 7.82 Image
Page 588: 7.8 Scale-Free Networks 283Fig. 7.8
Page 592: 7.8 Scale-Free Networks 285a1b1cumu
Page 608:
7.8 Scale-Free Networks 293Fig. 7.9
Page 612:
7.10 Other Sciences 295Fig. 7.102 S
Page 616:
7.10 Other Sciences 297Fig. 7.105 F
Page 620:
7.10 Other Sciences 299Fig. 7.109 Z
Page 624:
7.10 Other Sciences 301Fig. 7.112 C
Page 628:
Chapter 8Final Comments and Perspec
Page 632:
8.1 Falsifiable Predictions and Con
Page 636:
8.2 Frequently Asked Questions 309i
Page 640:
8.2 Frequently Asked Questions 311B
Page 644:
8.2 Frequently Asked Questions 313(
Page 648:
8.2 Frequently Asked Questions 315o
Page 652:
8.2 Frequently Asked Questions 317p
Page 656:
8.2 Frequently Asked Questions 319n
Page 660:
8.2 Frequently Asked Questions 321L
Page 664:
8.2 Frequently Asked Questions 323(
Page 668:
8.2 Frequently Asked Questions 3254
Page 672:
8.3 Open Questions 327This is a fre
Page 676:
330 Appendix A Useful Mathematical
Page 680:
Page 684:
Page 688:
336 Appendix B Escort Distributions
Page 692:
Page 696:
Page 700:
Bibliography1. J.W. Gibbs, Elementa
Page 704:
Bibliography 34541. A. Rapisarda an
Page 708:
Bibliography 34784. A.N. Kolmogorov
Page 712:
Bibliography 349123. T. Schneider,
Page 716:
Bibliography 351178. A. Campa, A. G
Page 720:
Bibliography 353230. S. Abe and A.K
Page 724:
Bibliography 355279. K. Briggs and
Page 728:
Bibliography 357329. T. Kodama, H.-
Page 732:
Bibliography 359Italy), eds. C. Bec
Page 736:
Bibliography 361431. M.J.A. Bolzan,
Page 740:
Bibliography 363479. T. Cattaert, M
Page 744:
Bibliography 365528. P.H. Chavanis,
Page 748:
Bibliography 367579. G.A. Tsekouras
Page 752:
Bibliography 369631. J. Schulte, No
Page 756:
Bibliography 371678. D. Fuks, S. Do
Page 760:
Bibliography 373723. L.J. Yang, M.P
Page 764:
Bibliography 375767. S. Sun, L. Zha
Page 768:
Bibliography 377813. S. Abe, Tsalli
Page 772:
Bibliography 379862. S. Boccaletti,
Page 776:
382 IndexKekule, ixKepler, xiiKrylo
show all

Nonextensive Statistical Mechanics

Create successful ePaper yourself

Delete template?

Save as template?