Universal Scaling Laws for Large Events in Driven Nonequilibrium Systems

Details Universal Scaling Laws for Large Events in Driven Nonequilibrium Systems Universal Scaling Laws for Large Events in Driven Nonequilibrium Systems

2006-04-20

arxiv.org/abs/nlin/0604042v1

Europhys. Lett., 76 (6), pp. 1050-1056 (2006)

Nonlinear Sciences

Chaotic Dynamics

9 pages, 5 figures

Scientific paper

For many driven-nonequilibrium systems, the probability distribution functions of magnitude and recurrence-time of large events follow a powerlaw indicating a strong temporal correlation. In this paper we argue why these probability distribution functions are ubiquitous in driven nonequilibrium systems, and we derive universal scaling laws connecting the magnitudes, recurrence-time, and spatial intervals of large events. 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.

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