The force of the ethnic separatism, essentially originating from the negative effect of ethnic identity, is damaging the stability and harmony of multiethnic countries. In order to eliminate the foundation of the ethnic separatism and set up a harmonious ethnic relationship, some scholars have...

We study the traffic behavior in the case that there exists a bottleneck on a route in the two-route traffic system with real-time information. We introduce the bottleneck into the two-route dynamic model proposed by Wahle et al. When there is a bottleneck on route A, a traffic jam occurs...

Many real-world networks are large, complex and thus hard to understand, analyze or visualize. Data about networks are not always complete, their structure may be hidden, or they may change quickly over time. Therefore, understanding how an incomplete system differs from a complete one is...

In the paper, we first extend the discrete time quantum random walk (DQRW) to continuous time quantum random walk (CQRW). Then we establish an Itô formula for the one-dimensional CQRW. As an application, we present Tanaka’s formula with the Itô formula and characterize the relation between...

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, SS/τ+σ=maximum, where SS is system entropy, σ is entropy production and τ is microscopic interaction time. System entropy is calculated from the equilibrium...

The effects of internal noise in a square-lattice Höfer calcium oscillation system have been studied numerically in the context of chemical Langevin equations. It was found that spatial pattern can be induced by internal noise and, interestingly, an optimal internal noise strength (or optimal...

Artificial dissipation is a well known tool for the improvement of stability of numerical algorithms. However, the use of this technique affects the accuracy of the computation. We analyse various approaches proposed for enhancement of the Lattice Boltzmann Methods’ (LBM) stability. In...

In this paper we will try to assess the multifractality displayed by the high-frequency returns of Madrid’s Stock Exchange Ibex35 index. A Multifractal Detrended Fluctuation Analysis shows that this index has a wide singularity spectrum which is most likely caused by its long-memory. Our...

In this paper, we extend Gibbs’s approach for quasi-equilibrium thermodynamic processes, and show that, in general non-equilibrium thermodynamic processes, the microscopic expression of entropy is given as S(t)=−∫dxρ(x,t)ln∫dx′ρ(x′,t)ϕΔt(x,x′,t), where ρ(x,t) is the ensemble...

The various types of magnetizations of a four-sublattice mixed-spin Heisenberg ferrimagnetic system are investigated with the help of the double-time temperature-dependent Green’s function technique. One obtains the first-order phase transitions from ferrimagnetic states to ferrimagnetic or...