Universal scaling laws for large events in driven nonequilibrium systemsM. K. Verma1, S. Manna2, J. Banerjee2 and S. Ghosh3
1 Department of Physics, Indian Institute of Technology Kanpur Kanpur 208016, India
2 Department of Biophysics, University of Delhi South Campus Benito Juanez Road, New Delhi 110021, India
3 Department of Animal Sciences, School of Life Sciences University of Hyderabad, Hyderabad 500046, India
received 14 March 2006; accepted in final form 3 November 2006
published online 1 December 2006
For many driven-nonequilibrium systems, the probability distribution functions of magnitude and recurrence-time of large events follow a power law indicating a strong temporal correlation. In this paper we discuss universal scaling laws connecting the magnitudes, recurrence-time, and spatial intervals of large events obtained in recent work in earthquakes, solar flares, and related nonequilibrium systems. The relationships between the scaling exponents have also been studied. We show that the ion channel current in voltage-dependent anion channels obeys the universal scaling law.
05.65.+b - Self-organized systems.
05.45.Tp - Time series analysis.
05.40.Ca - Noise.
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