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Published on: December 4, 2017
Additivity property and emergence of power laws in nonequilibrium steady states
Arghya Das1, Sayani Chatterjee1, Punyabrata Pradhan1
1Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700098, India.
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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