In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...

the purpose of this paper is to present a 2d depth-averaged model for simulating and examining unsteady flow patterns in open channel bends. in particular, this paper proposes a 2d depth-averaged model that takes into account the influence of the secondary flow phenomenon through calculation of the dispersion stresses. the dispersion terms which arose from the integration of the product of the ...

In this paper, several enhanced sufficient conditions are given for minimal routing in 2-dimensional (2-D) meshes with faulty nodes contained in a set of disjoint faulty blocks. It is based on an early work of Wu’s minimal routing in 2D meshes. Fault information is coded in a 4-tuple called extended safety level associated with each node to determine the feasibility of minimal routing. Specific...

wall-jet flow is an important flow field in hydraulic engineering, and its applications include flow from the bottom outlet of dams and sluice gates. in this paper, the plane turbulent wall jet in shallow tailwater is simulated by solving the reynolds averaged navier-stokes equations using the standard  turbulence closure model. this study aims to explore the ability of a time splitting method ...