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Universal Scaling Laws for Large Events in Driven Nonequilibrium Systems

M. K. Verma·S. Manna·J. Banerjee·S. Ghosh
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Abstract

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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M. K. Verma, S. Manna, J. Banerjee, S. Ghosh. 2006-04-20. Universal Scaling Laws for Large Events in Driven Nonequilibrium Systems. https://doi.org/10.1209/epl%2Fi2006-10413-1

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