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arXiv · 1506.04647

Additivity property and emergence of power laws in nonequilibrium steady states

Arghya Das·Sayani Chatterjee·Punyabrata Pradhan·P. K. Mohanty
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Abstract

We show that an equilibriumlike additivity property can remarkably lead to power-law distributions observed frequently in a wide class of out-of-equilibrium systems. The additivity property can determine the full scaling form of the distribution functions and the associated exponents. The asymptotic behavior of these distributions is solely governed by branch-cut singularity in the variance of subsystem mass. To substantiate these claims, we explicitly calculate, using the additivity property, subsystem mass distributions in a wide class of previously studied mass aggregation models as well as in their variants. These results could help in the thermodynamic characterization of nonequilibrium critical phenomena.

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Arghya Das, Sayani Chatterjee, Punyabrata Pradhan, P. K. Mohanty. 2015-12-16. Additivity property and emergence of power laws in nonequilibrium steady states. https://doi.org/10.1103/physreve.92.052107

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