The six-vertex model with domain wall boundary conditions, or square ice, is considered for particular values of its parameters, corresponding to 1-, 2-, and 3-enumerations of alternating sign matrices (ASMs). Using Hankel determinant representations for the partition function and the boundary correlator of homogeneous square ice, it is shown how the ordinary and refined enumerations can be der...

The simulation and visualization of large groups of plants has many applications. The extreme visual complexity of the resulting scenes can be captured using multilevel models. For example, in two-level models, plant distributions may be determined using coarse plant representations, and realistic visualizations may be obtained by substituting detailed plant models for the coarse ones. In this ...

abstract optimal management of water and nutrient could consider as effective on farm method to reduce pollution because agriculture is none point pollution. in this research, an optimal model was presented to reduce nitrate loss in furrow fertigation. the optimal model contains four simulation models for predicting runoff, deep percolation, nitrate concentration in runoff and nitrate concentra...

This paper deals with the extraction of L-Theanine containing Aliquat 336 as a carrier and cyclohexane as solvent across bulk liquid membrane. The optimum operation condition are as follows: extraction time of 150 min, initial concentration of theanine in the feed phase is 1.8 g/L, the carrier concentration is 0.5 M, the ion of the receiving phas...

biodegradation kinetics of 4-nitrophenol (pnp) in aqueous solution by a gram negative soil bacterium, ralstoniaeutropha was firstly studied in a small scale batch reactor. the degradation of pnp was evaluated at initial pnp concentrations ranging from 3 mg/l to 14 mg/l. the rate of pnp consumption by the bacterium culture was modeled using monod and contois kinetics in batch condition. pnp degr...

We examine the rare decays Bs → l+l− and B → Kl+l− in the framework of the topcolor-assisted technicolor (TC2) model. The contributions of the new particles predicted by this model to these rare decay processes are evaluated. We find that the values of their branching ratios are larger than the standard model predictions by one order of magnitude in wide range of the parameter space. The longit...

The rare Bc → Dslldecay is investigated by using the most general model independent effective Hamiltonian. The general expressions of longitudinal, normal and transversal polarization asymmetries for l and l+ and the combined asymmetries of them are found. The dependencies of the branching ratios and polarizations on the new Wilson coefficients are presented. The analysis shows that the branchi...