Open AccessPower law distributions in a new toy model with interacting N agents
Author(s) -
Tohru Tashiro
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012089
Subject(s) - exponent , power law , radius , statistical physics , power (physics) , function (biology) , distribution (mathematics) , state (computer science) , mathematics , physics , computer science , mathematical analysis , quantum mechanics , statistics , philosophy , linguistics , computer security , algorithm , evolutionary biology , biology
A new toy model with interacting N agents is proposed in this paper. The agents in this model possess quantity , and have an interaction radius depending on the quantity. They exchange a part of the quantity with agents belonging to within their interaction radii. The cumulative distribution function about observing the quantity in a stationary state exhibits a power law, and the exponent is universally close to –1 if the density of agents is sufficiently small.