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Phys. Rev. E 51, 237–240 (1995)

Scaling structure and 1/f noise in one-dimensional surface-reaction models

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H. F. Ouyang and Z. Q. Huang
Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China

E. J. Ding
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China
Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875, China
Institute of Theoretical Physics, Academia Sinica, Beijing, 100080, China

Received 6 September 1994; published in the issue dated January 1995

We study a one-dimensional A+B→AB catalytic surface reaction model. The simulation and analysis by using the master equation and its approximate form (Fokker-Planck equation) both show that the system exhibits scaling structure and 1/f noise when the rate of desorption pd is equal to 1/(N+1), where N is the number of sites on the surface. In addition, based upon this model, another one-dimensional A+B→AB reaction model which exhibits self-organized criticality and 1/f noise behavior is also constructed.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.51.237
DOI:
10.1103/PhysRevE.51.237
PACS:
05.40.+j, 82.65.-i, 05.45.+b, 64.60.Fr
 
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