Evaluation interaction with potential energy forms

The anticipated load is the composite of energy that might interact with the object. Both the artifact s fabric and the potential consolidant need to be evaluated for interaction with potential energy forms. Once again, the more comprehensive the evaluation, the more accurate the consolidation will be. The evaluation should include... 

A few groups replace the Lennard-Jones interactions by interactions of a different form, mostly ones with a much shorter interaction range [144,146]. Since most of the computation time in an off-lattice simulation is usually spent on the evaluation of interaction energies, such a measure can speed up the algorithm considerably. For example, Viduna et al. use a potential in which the interaction range can be tuned... 

As we noted above, the evaluation of W for given values of dispersion properties such as surface potential, Hamaker constant, pH, electrolyte concentration, and so on, forms the goal of classical colloid stability analysis. Because of the complicated form of the expressions for electrostatic and van der Waals (and other relevant) energies of interactions, the above task is not a simple one and requires numerical evaluations of Equation (49). Under certain conditions, however, one can obtain a somewhat easier to use expression for W. This expression can be used to understand the qualitative (and, to some extent, quantitative) behavior of W with respect to the barrier against coagulation and the properties of the dispersion. We examine this in some detail below. 

This result has the form of the well known Flory-Huggins approximation, evaluated in the limit of small concentrations ( dc defined chemical potential.) The term In (fdCj,(n)) can be interpreted as an entropic contribution of nonintcraeting chains and u nc is the interaction energy with a homogeneous background of other chains. The constant shift ln(4rr)d/2 is due to our normalization of the spatial integrals in the partition function. 

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