Characteristic functional approach to multiplicative fractal noise with application to environmental fluctuations in nonlinear chemical systems far from equilibrium: A temporal analog of Anderson localization

Physica A: Statistical Mechanics and its Applications

Volumn 294, Issue 1-2, 2001, Pages 1-22

  Vlad, Marcel O ^a,c   Schneider, Friedemann W ^b   Ross, John ^a  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF WÜRZBURG   (Germany)

^c INSTITUTE OF MATHEMATICAL STATISTICS AND APPLIED MATHEMATICS   (Romania)

Author keywords

Chemical kinetics; Multiplicative noise; Statistical fractals

Indexed keywords

DAMPING; FRACTALS; RANDOM PROCESSES; REACTION KINETICS; STATISTICAL METHODS;

ANDERSON LOCALIZATION;

PHASE TRANSITIONS;

EID: 0035336941     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(01)00016-4     Document Type: Article

References (24)

1. Fox R.F. Moss F., McClintock P.V.E. Noise in Nonlinear Dynamical Systems, Vol. 2. 1989;1-23 Cambridge University Press, Cambridge.
2. Furutsu K. Random Media and Boundaries. 1993;Springer, Berlin.
3. Anderson P.W. J. Phys. Soc. Japan. 9:1954;316.
4. Kubo R. ter Haar D. Fluctuation, Relaxation and Resonance in Magnetic Systems. 1962;23-68 Olivier and Boyd, Edinburgh.
5. Kubo R. Adv. Chem. Phys. 15:1969;101.
6. Vlad M.O., Ross J., Schneider F.W. Phys. Rev. E. 57:1998;4003.
7. Tuljapurkar S. Theor. Popul. Biol. 35:1989;227.
8. Tuljapurkar S. Population dynamics in changing environments. 1990;Springer, Berlin.
9. Eakin T. Bull. Math. Biol. 56:1994;1121.
10. Shlesinger M.F., West B.J., Klafter J. Phys. Rev. Lett. 58:1987;1100.
11. Shlesinger M.F., Zaslavsky G.M., Klafter J. Nature. 363:1993;31.
12. West B.J., Deering W. Phys. Rep. 246:1994;1.
13. Treumann R.A. Phys. Rev. E. 57:1998;5150.
14. Schleicher J., Hof M.H., Schneider W.F. Ber. Bungens. Phys. Chem. 97:1993;172.
15. Dattagupta S. Relaxation Phenomena in Condensed Matter Physics. 1987;Academic Press, Orlando.
16. Vlad M.O., Ross J., Huber D.L. J. Phys. Chem. 103:1999;1563.
17. Van Kampen N.G. Stochastic Processes in Physics and Chemistry. 2nd Edition:1992;Elsevier, Amsterdam.
18. Shlesinger M.F., Hughes B.D. Physica A. 109:1981;597.
19. Montroll E.W., Shlesinger M.F. Proc. Nat. Acad. Sci. USA. 79:1982;338.
20. Montroll E.W., Shlesinger M.F. J. Stat. Phys. 32:1983;209.
21. Vlad M.O. J. Phys. A. 25:1992;749.
22. Vlad M.O. Int. J. Modern Phys. B. 7:1993;2539.
23. El Ghoule Mazen Phys. Chem. Chem. Phys. 2:2000;3773.
24. Vlad M.O., Ross J., Schneider F.W. Phys. Rev. E. 62:2000;1743.