P-a model

Wei, R. P., A Model for Particle-Induced Pit Growth in Aluminum Alloys, Acta Mater., Elsevier Science Ltd., 44 (2001), 2647-2652. 

Dardi P S and Dahler J S 1993 A model for nonadiabatic coupling in the photodissociation of l2-solvent complexes J. Chem. Phys. 98 363-72 

Englezos, P., A Model for the Formation Kinetics of Gas Hydrates from Methane, Ethane, and Their Mixtures, M.S. Thesis, University of Calgary, Alberta (1986). 

Pr P., Delage F. and Le Cloirec P., A model to predict the adsorber thermal behavior during treatment of volatile organic compounds onto wet activated carbon. Environ. Sci. Technol, Environ. Sci. Technol, in press (2002). 

Carre, D.J. and Bertrand, P.A. Modeling the measurement of aryl phosphate ester vapor pressures at 50 °C, Aerospace Corporation Report No. TR-98(8565)-3, 18 p., 1998. 

Cummings P T and Stell G 1984 Statistical mechanical models of chemical reactions II. Analytic solutions of the Percus-Yevick approximation for a model of homogeneous association Mol. Phys. 51 253 

Dokoumetzidis, A. and Macheras, P., A model for transport and dispersion in the circulatory system based on the vascular fractal tree, Annals of Biomedical Engineering, Vol. 31, No. 3, 2003, pp. 284-293. 

Van Tassel P R, Guemourl L, Ramsden J J, Tar]us G, VIot P and Talbot J 1998 A model for the Influence of conformational change on protein adsorption kinetics J. Colloid Interfaoe Sc/. 207 317-23 

Lemesle-Varloot, L., Ojasoo, T, Momon, J. P., Raynaud, J. P. A Model for the Determination of the 3D-Spatial Distribution of the Functions of the Hormone- Binding Domain of Receptor that Bind 3-keto-4-ene Steroids, 

Beeause of its emphasis on eonsistent thermodynamies, the csq eode does not permit the use of a P-a model for the erush-up behavior of the powder. Thus, it was neeessary to draw upon the experience in the one-dimensional simulation to select appropriate shock-compression materials behaviors. The 

The Freundlich equation is defective as a model because of the physically unrealistic/((2) consequences of this are that Henry s law is not approached at low P, nor is a limiting adsorption reached at high P. These difficulties can be patched by supposing that 

Forgaos G, Newman S A, Obukhov S P and Birk D E 1991 Phase transition and morphogenesis in a model biologioal system Phys. Rev. Lett. 67 2399-402 

Singh, S.B., Shen, L.Q., Walker, M.J., and Sheridan, R.P. A model for predicting likely sites of CYP3A4-mediated metabolism on dmg-like molecules./. Med. Chem. 2003, 46, 1330-1336. 

Hi) Gaussian statistics. Chandler [39] has discussed a model for fluids in which the probability P(N,v) of observing Y particles within a molecular size volume v is a Gaussian fimction of N. The moments of the probability distribution fimction are related to the n-particle correlation functions and 

LIndh R, Bernhardsson A, Karlstrdm G and Malmqvist P-A 1995 On the use of a Hessian model function In molecular geometry optimizations Chem. Phys. Lett. 241 423 

Z1, P Cieplak, W D Cornell and P A Kolhnan 1993. A Well-Behaved Electrostatic Potential Based 5thod for Deriving Atomic Charges - The RESP Model. Journal of Physical Chemistry 97 10269-10280. sen H C, J P M Postma, W F van Gunsteren and J Hermans 1981. Interaction Models for Water in lation to Protein Hydration. In Pullman B (Editor). Intermolecular Forces. Dordrecht, Reidel, I. 331-342. 

Miehelsen H A, Rettner C T and Auerbaeh D J 1993 The adsorption of hydrogen at eopper surfaees A model system for the study of aetivated adsorption Surface Reacf/onsed R J Madix (Berlin Springer) p 123 

The maximum-likelihood method is not limited to phase equilibrium data. It is applicable to any type of data for which a model can be postulated and for which there are known random measurement errors in the variables. P-V-T data, enthalpy data, solid-liquid adsorption data, etc., can all be reduced by this method. The advantages indicated here for vapor-liquid equilibrium data apply also to other data. 

Cedersund, G., Ulfhielm, E., Roll, J., Tide-felt, H., Danielsson, A., Jirstrand, M., Stralfors, P., A model for insulin receptor signalling in human fat cells obtained using hypothesis testing, FASEB J. (submitted). 

Fig. 6.4. At relatively low pressures the shock speeds observed for stress waves in low density powder compacts are dominated by the crush-up of the powder toward solid density. The figure shows measured wavespeeds for a range of densities and fits to the data based on Herrmann s P-a model on Fe. Note the unusually low wavespeeds compared to solid density (after Herrmann [69H02]).

Table 6.2 summarizes the low pressure intercept of observed shock-velocity versus particle-velocity relations for a number of powder samples as a function of initial relative density. The characteristic response of an unusually low wavespeed is universally observed, and is in agreement with considerations of Herrmann s P-a model [69H02] for compression of porous solids. Fits to data of porous iron are shown in Fig. 6.4. The first order features of wave-speed are controlled by density, not material. This material-independent, density-dependent behavior is an extremely important feature of highly porous materials. 

---