Additivity property and emergence of power laws in nonequilibrium steady states

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.

Revised longer version, 4 figures

References in corpus (4)

• The large deviation approach to statistical mechanics
• Intensive thermodynamic parameters in nonequilibrium systems
• Zeroth law of thermodynamics for nonequilibrium steady states in contact
• Mass-Transport Models with Fragmentation and Aggregation

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