Spin correlation identities for the Blume–Capel model on Kagome lattice are derived and combined with rigorous correlation inequalities lead to upper bounds on the critical temperature. From the spin correlation identities the mean field approximation and the effective field approximation...

We investigate degree correlations in two online social networks where users are connected through different types of links. We find that, while subnetworks in which links have a positive connotation, such as endorsement and trust, are characterized by assortative mixing by degree, networks in...

This paper defines the lattice point drivers’ heterogeneity of the disturbance risk preference and proposes a new one-dimensional traffic flow lattice model to research the effects of the lattice point drivers’ heterogeneity of the disturbance risk preference on traffic flow instability. By...

Self-organized criticality is a hypothesis used to explain the origin of 1/f noise and other scaling behaviors. Despite being proposed nearly 30 years ago, no consensus exists as to its exact definition or mathematical mechanism(s). Recently, a model for 1/f noise was proposed based on a family...

Based on the consideration of easy implementation of new routing strategies on many real complex networks such as the Internet, we propose a hybrid routing mechanism composed of the shortest path routing and the global dynamic routing strategy to improve the network traffic capacity. Under the...

This paper presents a new diffuse interface model for multiphase incompressible immiscible fluid flows with surface tension and buoyancy effects. In the new model, we employ a new chemical potential that can eliminate spurious phases at binary interfaces, and consider a phase-dependent variable...

The de-trended cross-correlation analysis (DCCA) is converted to a new form, which turns out to be a periodic function modulated power-law, to evaluate discrete-scale long-range cross-correlation between time series. If the modulator is dominated with one frequency, the derived form will...

To better understand the characteristics of car–truck heterogeneous traffic flow that is very common on freeway, a cellular automata-based traffic flow model is proposed for single lane traffic in this paper. The proposed model discriminates the four types of car–truck following combination,...

We study the effect of the delayed feedback loop on the weak periodic signal detection performance of a stochastic Hodgkin–Huxley neuron. We consider an electrical autapse characterized by its coupling strength and delay time. The stochastic Hodgkin–Huxley neuron exhibits subthreshold...

The natural biomechanical motion process of many animals is stepwise. This feature of human movement and other bipeds is largely ignored in simulation models of pedestrians and crowds. We present a concise movement model for pedestrians based on stepwise movement. A series of controlled...