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In this work, we study the two and triplet static correlation functions in plasma when the ions interact via the Debye screened potential and via the Deutsch screened potential.
This well corresponds with the literature data obtained by measurement of the reduction of the static correlation length with concentration and those determined by dielectric study of the end-to-end distance.
The association process is caused by the dipolar attraction between the charged groups and introduces two static correlation lengths in the mesh structure of the network; the standard semi-dilute mesh size (ξ=1.12c−0.72±0.03) and an inhomogeneity length (Ξ=24c0.58±0.05) due to micro-phase separation.
This stems from the fact that generalized homogenous functions display this property of scale invariance and data collapsing, and such functions were investigated in the context of formalism to treat thermodynamic functions, static correlation function, dynamic correlation function and universality near the critical point [9].
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All the predictive methods described herein are grounded in static correlations, and do not account for changes in biotic interactions in space and time.
52, 53 In Supplementary File we describe in more detail the algorithm that we have employed for integrating differential expression, correlations, and differential associations/correlations. 4 The networks discussed above model static correlations between genes that change their expression when the biological system transits from one state to another.
Even by using the correct mean-force potential describing exactly the static correlations, the real dynamics can be strongly influenced by the so-called transient forces, related to the removed intramolecular degrees of freedom and not captured by the mean-force potential.
Alternatively, one can assume that during the formation of clusters in a solution under the influence of magneto-static interaction, certain correlation occurs in the distribution of the nanoparticle easy anisotropy axis directions.
Open image in new window Figure 11 Correlation between static force and strain output.
Therefore, finding a valid correlation between static and dynamic parameters could result in a continuous and more reliable knowledge on elastic parameters.
It allows one to obtain a correlation between static and dynamic parameters of the swelling process and the dependence of these parameters on applied load.
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