Comments on "Y.-Q. Wang, et al., Commun. Nonlinear Sci. Numer. Simul. 103:105981 (2021)"

TL;DR

This paper critically examines a recent study on equiprobable exclusion networks, highlighting errors in the steady-state solution, discrepancies in simulation results, and irrelevance of some analysis to the original network properties.

Contribution

It provides a detailed critique of the previous work, clarifying the inaccuracies and misalignments with the network's equiprobable characteristics.

Findings

Identified errors in the steady-state solution and derivation.

Pointed out discrepancies between simulations and analytical results.

Highlighted irrelevance of part of the original analysis to the network properties.

Abstract

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state, Commun. Nonlinear Sci. Numer. Simul. 103:105981 (2021)'', the following concerns are raised. First, the given steady-state solution of the system, its proof, and derivation of relevant physical quantities are incorrect. Second, the presented simulation results were not replicated and significantly deviated from their analytical predictions. Finally, the second part of the article is irrelevant in the context of equiprobable exclusion networks because the examined system in this part does not possess equiprobable properties.