Motivated by the various physical properties observed in θ-(BEDT-TTF)2X, we study the ground state of extended Hubbard model on two-dimensional anisotropic triangular lattice at 1/4-filling with variational Monte Carlo method. It is shown that the nearest-neighbor Coulomb interaction enhances the charge fluctuation and it induces the anomalous state such as charge-ordered metallic state and the...

Front propagation is studied in several reaction–diffusion models based on the Oregonator model of the Belousov–Zhabotinsky reaction. Each system involves autocatalysis (X→2X), termination (2X→0) and consumption of the autocatalyst (X→0, X1Y→0), augmented with interconversion (X↔R) between the autocatalyst X and a rapidly diffusing unreactive species R. We investigate the dependence of the fron...

Recently it has been shown that the transition of the 1+1-dimensional annihilation-fission process 2X→3X, 2X→Ø exhibits an unusual type of nonequilibrium critical behavior. The phenomenological properties of critical clusters are characterized by two different dynamic modes for spreading and diffusion. In order to describe the interplay of these modes, we introduce an effective model which invo...

The Stack-Based Architecture (SBA) is a formal methodology addressing object-oriented database query and programming languages. In SBA we reconstruct query languages’ concepts from the point of view of programming languages (PLs). The approach is motivated by our belief that there is no definite border line between querying and programming; thus there should be a universal theory that uniformly...

We consider the eigenvalues of sample covariance matrices form Q=(Σ1/2X)(Σ1/2X)∗. The X is an M×N rectangular random matrix with real independent entries and population Σ a positive definite diagonal X. Assuming that limiting spectral density exhibits convex decay at right edge spectrum, in limit M,N→∞ N/M→d∈(0,∞), we find certain threshold d+ such for d>d+ distribution Q also spectrum. In this...