Year: 2003
Type: preprint
Abstract: We study the dynamics of Random Threshold Network (RTN) on scale free networks, with asymmetric links, some interaction rules where propagation of local perturbations depends on in-degree $k$ of the nodes. We find that there is no phase transition with respect to average connectivty independently of network topology for the case temperature T=0, threshold $h=0$ and the probability distribution of indegree $P(k)$ satisfies $P(0)=D=0$. We have investigated the emergence of phase transition involving three parameters, i.e. $T,h$ and $D$. RTN can be continuously connected to Random Boolean Network (RBN) in $T\to \infty$, and we find moderate thermal noise extends the regime of ordered dynamics, compared to RTN in T=0 regime and RBN. Furthermore, we discuss the dynamic properties from another point of view, dynamical mean field reaction rate equation.
Source: arXiv (Cornell University)
Author: Nakamura, Ikuo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1663259308