Additivity property and emergence of power laws in nonequilibrium steady states

Autor: Das, Arghya, Chatterjee, Sayani, Pradhan, Punyabrata, Mohanty, P. K.
Rok vydání: 2015
Předmět:
Zdroj: Phys. Rev. E 92, 052107 (2015)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.92.052107
Popis: 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.
Comment: Revised longer version, 4 figures
Databáze: arXiv