Power-law tail distributions and nonergodicity

Physical Review Letters

Volumn 93, Issue 19, 2004, Pages

  Lutz, Eric ^a,b  

^a UNIVERSITY OF ULM   (Germany)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FLUORESCENCE; HAMILTONIANS; KINETIC ENERGY; LASER BEAMS; PARAMETER ESTIMATION; POLARIZATION; THERMODYNAMICS;

ATOMIC MOMENTUM; NONERGODICITY; OPTICAL LATTICE; POWER-LAW TAIL DISTRIBUTIONS;

STATISTICAL MECHANICS;

EID: 19744362856     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.190602     Document Type: Article

References (22)

1. J. R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
2. Lévy Flights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch (Springer, Berlin, 1994).
3. Anomalous Diffusion. From Basics to Applications, edited by A. Pȩkalski and K. Sznajd-Weron (Springer, Berlin, 1998).
4. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993).
5. J. L. Lebowitz and O. Penrose, Phys. Today 26, No. 2, 23 (1973).
6. R. Jancel, Foundations of Classical and Quantum Statistical Mechanics (Pergamon Press, Oxford, 1963).
7. X. Brokmann et al., Phys. Rev. Lett. 90, 120601 (2003).
8. B. Saubamea, M. Leduc, and C. Cohen-Tannoudji, Phys. Rev. Lett. 83, 3796 (1999).
9. G. Grynberg and C. Robilliard, Phys. Rep. 355, 335 (2001).
10. Y. Castin, J. Dalibard, and C. Cohen-Tannoudji, in LIKE, edited by L. Moi et al. (ETS Editrice, Pisa, 1991).
11. T.W. Hodapp et al., Appl. Phys. B 60, 135 (1995).
12. S. Marksteiner, K. Ellinger, and P. Zoller, Phys. Rev. A 53, 3409 (1996).
13. H. Katori, S. Schlipf, and H. Walther, Phys. Rev. Lett. 79, 2221 (1997).
14. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000).
15. 1 gives a negligible contribution to the noise in the limit of large p.
16. H. Takayasu, A.-H. Sato, and M. Takayasu, Phys. Rev. Lett. 79, 966 (1997); D. Sornette, Phys. Rev. E 57, 4811 (1998).
17. H. Takayasu, A.-H. Sato, and M. Takayasu, Phys. Rev. Lett. 79, 966 (1997); D. Sornette, Phys. Rev. E 57, 4811 (1998).
18. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).
19. A. Papoulis, Probability, Random Variable, and Stochastic Process (McGraw-Hill, New York, 1991).
20. F. Bardou et al., Levy Statistics and Laser Cooling (Cambridge University Press, Cambridge, 2002).
21. J.-P. Bouchaud, J. Phys. I (France) 2, 1705 (1992).
22. M. Kac, in Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).