ANNI model

The pyroxenoid family of silicates (MSiOs, where M can be Mg " ", Ca , Fe " ", Mn , or mixtures thereof) illustrate this point. Good progress has also been made theoretically in using the Ising model or the anisotropic nearest-neighbor Ising (ANNI) model to interpret polytypism. 

Figure 10 Temperature dependence of the reduced surface energy alloy models with B2 ordering calculated in the MFA. Thin lines, the discrete lattice calculations by Cahn and Kikuchi [2] for the nearest-neighbor-interaction (NNl) model dashed lines, present calculations for the NNl-inodel thick lines, present calculations for the almost-neaxest-neighbor-inter.iction (ANNI) model for which Uj/ui = Ua/ui = 0.05, and U4/i i = 0.01. 

The results for the ANNI model (thick curves in figure 10) show that the presence of even small not-nearest-neighbor interactions leads to the drastic change in the low-temperature behaviour of the APB energy at T — 0, the a T, c) value becomes finite and concentration-dependent. However, with elevating temperature the influence of such small interactions rapidly weakens, and at T 0..3 — 0.4, the APB energies for the NNl and ANNI models do virtually coincide. 

Annis, H. M. (1986). A relapse prevention model tor treatment of alcoholics. In W. R. Miller ... 

Claude Cadoz, Annie Luciani and Jean-Loup Florens. CORDIS-ANIMA A Modeling and Simulation System for Sound Image Synthesis-The General Formalization. Computer Music Journal 17(1) 21-29(1993). 

Annie Paul et al. [36] studied short randomly oriented PP/banana fibre composites. The thermophysical properties of the above composites were studied on the basis of different banana fibre loading and different chemical treatments given to the banana fibres. The incorporation of banana fibres into PP matrix induced a decrease of the effective thermal conductivity of the composite. The use of the theoretical series conduction model allowed to estimate the transverse thermal conductivity of untreated banana fibre composites. As was expected, the series model appears sufficient for the effective thermal conductivity estimation of this kind of composites. All the chemical treatments enhanced both thermal conductivity and diffusivity of the composite considerably in varying degrees. This indicates that the chemical treatment allows a better contact between the fibre and the matrix and reduces considerably the thermal contact resistance. Nevertheless, a significant increase of the thermal conductivity was observed only for benzoylated and 10% NaOH-treated fibre composites. Besides, the variations of density and specific heat upon fibre chemical treatment are small compared to their associated uncertainties. 

MiyawakiF,HowTV and Annis D, Effect of compliance mismatch on flow disturbances in a model of an arterial graft replacement, Med. Biol. Eng. Comput., 1990 28 457-464. 

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