title: 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.
authors.affiliation: Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700098, India.
authors.forename: Arghya
authors.initials: A
authors.lastname: Das
authors.affiliation: Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700098, India.
authors.forename: Sayani
authors.initials: S
authors.lastname: Chatterjee
authors.affiliation: Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700098, India.
authors.forename: Punyabrata
authors.initials: P
authors.lastname: Pradhan
authors.affiliation: CMP Division, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India.|Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany.
authors.forename: P K
authors.initials: PK
authors.lastname: Mohanty