Continuum Model of an Avalanche-Like Spread of Information on Twitter

Ch. 080002. P. 1–12.

Dmitriev A., Lebedev A., Abbas N., Victor Dmitriev, Kornilov V.

The research results devoted to the construction and analysis of the stochastic nonlinear dynamic system of
equations that simulate the self-organization of Twitter into the critical state are presented. A nonlinear dynamic system links three dynamic variables. The first variable corresponds to the order parameter determined by the average size of avalanches of microposts (tweets, retweets). The second variable is the conjugate field to the sizes of micropost avalanches is Tsallis entropy. The third variable is the control parameter determined by the generalized velocity of micropost distribution. Fluctuations of synergistic parameters considered in the form of additive white noise. The threeparameter scheme of selforganization allows to describe the basic properties of both a second-order phase transition and self-organization into a critical state. To describe a phase transition of the second order in a social network, the standard system of Lorenz equations in the adiabatic approximation is sufficient. To describe the transit of a social network into the self-organized criticality state, it is necessary to weaken the feedbacks by raising the order parameter (the size of the avalanches of microposts) to a fractional power and consider the fluctuations of the control parameter (the speed of microposts distribution in the network).
 

Keywords: twitter, speed of microposts distribution in the network, size of the avalanches of microposts

Publication based on the results of: Critical phenomena in complex systems: analysis, modeling, detection, forecasting (2023)

In book

AIP Conference Proceedings 2872: 11th Int’l Conference on Mathematical Modeling in Physical Sciences. Belgrade, Serbia, 5-8 September 2022

AIP Publishing LLC, 2023.