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Published: 11 September 2023

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1

Kučera, J., K. Stránský, and J. Dojiva. "Diffusion interaction coefficients βCi and thermodynamic interaction coefficients ϵCi of carbon in alloyed austenitic steels." Materials Science and Engineering: A 125, no. 1 (May 1990): 75–82. http://dx.doi.org/10.1016/0921-5093(90)90255-2.

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2

McDowell, Sean A. C., Ashok Kumar, and William J. Meath. "Anisotropic and isotropic triple-dipole dispersion energy coefficients for all three-body interactions involving He, Ne, Ar, Kr, Xe, H2, N2, and CO." Canadian Journal of Chemistry 74, no. 6 (June 1, 1996): 1180–86. http://dx.doi.org/10.1139/v96-132.

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Formulae for the computation of isotropic and anisotropic dipolar dispersion energy coefficients, for two-body and three-body interactions involving H2, N2, CO, and the rare gases, are presented in an average energy approximation. These coefficients are computed to within 1% of the reliable values for these coefficients, which are obtained by using the relevant dipole oscillator strength distributions, with the exception of a few that are recorded in tabular form. The input data required for these formulae are the isotropic and anisotropic polarizabilities and average energies for the interacting species. The results provide the first reliable anisotropic triple-dipole dispersion energy coefficients for interactions involving molecules. Key words: non-additive, anisotropic, interaction energies, triple-dipole dispersion energies.

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3

Allisy, A., W. A. Jennings, A. M. Kellerer, J. W. Müller, H. H. Rossi, and S. M. Seltzer. "3. Interaction Coefficients and Related Quantities." Journal of the International Commission on Radiation Units and Measurements os31, no. 1 (December 30, 1998): 9–12. http://dx.doi.org/10.1093/jicru/os31.1.9.

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4

Allisy, A., W. A. Jennings, A. M. Kellerer, J. W. Müller, H. H. Rossi, and S. M. Seltzer. "3. Interaction Coefficients and Related Quantities." Reports of the International Commission on Radiation Units and Measurements os-31, no. 1 (December 1998): 9–12. http://dx.doi.org/10.1093/jicru_os31.1.9.

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5

Hernandez, Maria-Josefina. "Spatiotemporal dynamics in variable population interactions with density-dependent interaction coefficients." Ecological Modelling 214, no. 1 (June 2008): 3–16. http://dx.doi.org/10.1016/j.ecolmodel.2008.01.007.

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6

Pathak, Jai, Sean Nugent, Michael Bender, Christopher Roberts, Robin Curtis, and Jack Douglas. "Comparison of Huggins Coefficients and Osmotic Second Virial Coefficients of Buffered Solutions of Monoclonal Antibodies." Polymers 13, no. 4 (February 17, 2021): 601. http://dx.doi.org/10.3390/polym13040601.

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The Huggins coefficient kH is a well-known metric for quantifying the increase in solution viscosity arising from intermolecular interactions in relatively dilute macromolecular solutions, and there has been much interest in this solution property in connection with developing improved antibody therapeutics. While numerous kH measurements have been reported for select monoclonal antibodies (mAbs) solutions, there has been limited study of kH in terms of the fundamental molecular interactions that determine this property. In this paper, we compare measurements of the osmotic second virial coefficient B22, a common metric of intermolecular and interparticle interaction strength, to measurements of kH for model antibody solutions. This comparison is motivated by the seminal work of Russel for hard sphere particles having a short-range “sticky” interparticle interaction, and we also compare our data with known results for uncharged flexible polymers having variable excluded volume interactions because proteins are polypeptide chains. Our observations indicate that neither the adhesive hard sphere model, a common colloidal model of globular proteins, nor the familiar uncharged flexible polymer model, an excellent model of intrinsically disordered proteins, describes the dependence of kH of these antibodies on B22. Clearly, an improved understanding of protein and ion solvation by water as well as dipole–dipole and charge–dipole effects is required to understand the significance of kH from the standpoint of fundamental protein–protein interactions. Despite shortcomings in our theoretical understanding of kH for antibody solutions, this quantity provides a useful practical measure of the strength of interprotein interactions at elevated protein concentrations that is of direct significance for the development of antibody formulations that minimize the solution viscosity.

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7

Popov, V. S., and Yu V. Kashirin. "Interaction between the signal amplitude coefficient and the harmonic coefficients and nonlinear distortions." Measurement Techniques 31, no. 6 (June 1988): 527–30. http://dx.doi.org/10.1007/bf00867518.

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8

Piekarski, Henryk, and Gus Somsen. "Enthalpies of solution of urea in water–alkanol mixtures and the enthalpic pair interaction coefficients of urea and several nonelectrolytes in water." Canadian Journal of Chemistry 64, no. 9 (September 1, 1986): 1721–24. http://dx.doi.org/10.1139/v86-284.

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Enthalpies of solution of urea in binary mixtures of isopropanol, s-butanol, and ethoxyethanol with water have been measured at high water content. Those in the binaries isopropanol + water and ethoxyethanol + water show endothermic maxima at 8 and 4 mol% alkanol, respectively. Enthalpic pair interaction coefficients are calculated for the interactions between urea and the alkanols and discussed in connection with these coefficients for interactions between urea and other nonelectrolytes and between N,N-dimethylformamide and several nonelectrolytes. The enthalpic pair interaction coefficients correlate linearly with the heat capacity change on hydration of the nonelectrolytes and with the enthalpy of hydrophobic hydration of the alkanols.

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9

Redheffer, Ray. "Lotka–Volterra systems with constant interaction coefficients." Nonlinear Analysis: Theory, Methods & Applications 46, no. 8 (December 2001): 1151–64. http://dx.doi.org/10.1016/s0362-546x(00)00166-8.

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10

Lebedev, Vladimir V., and Victor S. L’vov. "Symmetries and Interaction Coefficients of Kelvin Waves." Journal of Low Temperature Physics 161, no. 5-6 (September 2, 2010): 548–54. http://dx.doi.org/10.1007/s10909-010-0215-2.

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11

Gokcen, N. A. "Wagner interaction coefficients and modified margules equations." Journal of Phase Equilibria 15, no. 2 (April 1994): 147–50. http://dx.doi.org/10.1007/bf02646357.

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12

Abeliovich, Hagai. "On Hill coefficients and subunit interaction energies." Journal of Mathematical Biology 73, no. 6-7 (April 1, 2016): 1399–411. http://dx.doi.org/10.1007/s00285-016-1001-9.

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13

Piekarski, H., and D. Waliszewski. "Enthalpic pair interaction coefficients in DMF solution." Journal of Thermal Analysis 47, no. 6 (December 1996): 1639–47. http://dx.doi.org/10.1007/bf01980910.

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14

Groda, Yaroslav G., and Ruslan N. Lasovsky. "Transport properties of lattice fluid with SALR-potential on a simple square lattice." Journal of the Belarusian State University. Physics, no. 1 (February 9, 2021): 90–101. http://dx.doi.org/10.33581/2520-2243-2021-1-90-101.

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The transport properties of the lattice fluid with the attraction interaction between the nearest and repulsion interaction between the next-next-nearest neighbours on the square lattice are investigated. Computer simulation by the Monte Carlo method of the diffusion process in the specified system has been realised. The jump and tracer diffusion coefficients were determined. The dependence of the diffusion coefficients versus the concentration of adparticles and the interaction parameter of the model is investigated. The activation energy of jump and tracer diffusion determined. The possibility of estimating the jump diffusion coefficient of the lattice fluid with competing interactions using the Zhdanov’s relation on the base of information on the equilibrium properties of the system and the diffusion coefficient of a Langmuir (non-interacting) lattice gas is shown. In the future, it is planned to use the obtained results to study transport processes in 3D lattice systems which is suitable for describing the processes of mass or charge transfer in the volumes of solids.

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15

Taher, M. F., W. P. Santamore, and D. K. Bogen. "Ventricular interaction is described by three coupling coefficients." American Journal of Physiology-Heart and Circulatory Physiology 266, no. 1 (January 1, 1994): H228—H234. http://dx.doi.org/10.1152/ajpheart.1994.266.1.h228.

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Previous studies of ventricular interaction have quantified interaction by making small pressure or volume changes in one ventricle and measuring the resulting pressure or volume changes in the opposite ventricle. The ratios between the pressure and volume changes in opposite ventricles have been used as coupling coefficients or measures of ventricular interaction. This method of calculating coupling coefficients implicitly uses mathematical relationships that have useful features not generally appreciated. Starting from the definition of coupling coefficients we show that, without making any assumptions about ventricular interaction, all 24 possible coupling coefficients can be derived from a smaller set of four coupling coefficients. Furthermore, by making the single assumption that the ventricles behave elastically, we show that the set of four coefficients can be reduced to a set of three. Thus only three indexes are required to describe interaction, but these may vary with changes in ventricular volumes and pressures around which the indexes are measured. Furthermore, when comparisons between experimental studies are made, it is necessary to normalize the indexes with respect to ventricular volume.

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16

Piringer, Otto G. "A Power Sequence Interaction Function for Liquid Phase Particles." Fluids 6, no. 10 (October 8, 2021): 354. http://dx.doi.org/10.3390/fluids6100354.

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In this manuscript, a function is derived that allows the interactions between the atoms/molecules in nanoparticles, nanodrops, and macroscopic liquid phases to be modeled. One goal of molecular theories is the development of expressions to predict specific physical properties of liquids for which no experimental data are available. A big limitation of reliable applications of known expressions is that they are based on the interactions between pairs of molecules. There is no reason to suppose that the energy of interaction of three or more molecules is the sum of the pairwise interaction energies alone. Here, an interaction function with the limit value w = e2π/e is presented, which allows for the derivation of the atomic mass unit and acts as a bridge between properties of elementary particles and emergent properties of macroscopic systems. The following properties of liquids are presented using the introduced interaction function: melting temperatures of n-alkanes, nanocrystals of polyethylene, melting temperatures of metal nanoparticles, solid–liquid phase transition temperatures for water in nanopores, critical temperatures and critical pressures of n-alkanes, vapor pressures in liquids and liquid droplets, self-diffusion coefficients of compounds in liquids, binary liquid diffusion coefficients, diffusion coefficients in liquids at infinite dilution, diffusion in polymers, and viscosities in liquids.

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17

Gonzalez-Astudillo, Manuel. "Monetary-Fiscal Policy Interaction : Interdependent Policy Rule Coefficients." Finance and Economics Discussion Series 2013, no. 58 (2013): 1–51. http://dx.doi.org/10.17016/feds.2013.58.

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18

Shukla, Diwakar, Chetan Shinde, and Bernhardt L. Trout. "Molecular Computations of Preferential Interaction Coefficients of Proteins." Journal of Physical Chemistry B 113, no. 37 (September 17, 2009): 12546–54. http://dx.doi.org/10.1021/jp810949t.

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19

Seltzer, S. M., D. T. Bartlett, D. T. Burns, G. Dietze, H. G. Menzel, H. G. Paretzke, and A. Wambersie. "4. Interaction Coefficients and Related Quantities: Table 4.1." Journal of the ICRU 11, no. 1 (April 2011): 17–21. http://dx.doi.org/10.1093/jicru/ndr005.

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20

Edsman, K., and L. O. Sundelöf. "Interaction virial coefficients in some mixed polymer solutions." Polymer 29, no. 3 (March 1988): 535–40. http://dx.doi.org/10.1016/0032-3861(88)90374-6.

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21

Rosenzweig, Michael L., Zvika Abramsky, Burt Kotler, and william Mitchell. "Can interaction coefficients be determined from cencus data?" Oecologia 66, no. 2 (May 1985): 194–98. http://dx.doi.org/10.1007/bf00379854.

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22

Esien-Umo, EmmanuelOkon, JosephAbebe Obu, NdubuisiOzoemena Chiaghanam, TheophilusIpeh Ugbem, and NneoyiOnen Egbe. "Photon interaction coefficients for the colorectal cancer tissue." Journal of Medical Physics 47, no. 4 (2022): 381. http://dx.doi.org/10.4103/jmp.jmp_29_22.

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23

Mohammad Nejad, Shahin, Silvia Nedea, Arjan Frijns, and David Smeulders. "The Influence of Gas–Wall and Gas–Gas Interactions on the Accommodation Coefficients for Rarefied Gases: A Molecular Dynamics Study." Micromachines 11, no. 3 (March 19, 2020): 319. http://dx.doi.org/10.3390/mi11030319.

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Molecular dynamics (MD) simulations are conducted to determine energy and momentum accommodation coefficients at the interface between rarefied gas and solid walls. The MD simulation setup consists of two parallel walls, and of inert gas confined between them. Different mixing rules, as well as existing ab-initio computations combined with interatomic Lennard-Jones potentials were employed in MD simulations to investigate the corresponding effects of gas-surface interaction strength on accommodation coefficients for Argon and Helium gases on a gold surface. Comparing the obtained MD results for accommodation coefficients with empirical and numerical values in the literature revealed that the interaction potential based on ab-initio calculations is the most reliable one for computing accommodation coefficients. Finally, it is shown that gas–gas interactions in the two parallel walls approach led to an enhancement in computed accommodation coefficients compared to the molecular beam approach. The values for the two parallel walls approach are also closer to the experimental values.

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24

Brodin, G., and L. Stenflo. "Three-wave coupling coefficients for MHD plasmas." Journal of Plasma Physics 39, no. 2 (April 1988): 277–84. http://dx.doi.org/10.1017/s0022377800013027.

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By reconsidering the general theory for the resonant interaction of three waves in a plasma, we find explicit expressions for the coupling coefficients for three MHD waves. In particular we demonstrate that the interaction between two magnetosonic waves and one Alfvén wave, as well as the interaction between two Alfvén waves and one magnetosonic wave, can be described by very simple formulae for the coupling coefficients.

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25

Castronuovo, Giuseppina, Vittorio Elia, Anna Pierro, and Filomena Velleca. "Chiral recognition in solution. Interactions of α-amino acids in concentrated aqueous solutions of urea or ethanol." Canadian Journal of Chemistry 77, no. 7 (July 1, 1999): 1218–24. http://dx.doi.org/10.1139/v99-126.

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Enthalpies of dilution of the L and D forms of glutamine, citrulline, and phenylalanine in concentrated aqueous solutions of urea or ethanol were measured calorimetrically at 298 K. Glycine, urea, formamide, and phenol were also studied under the same experimental conditions, to get information about the behaviour of the zwitterion and of the functional group in the side chain of the cited amino acids when the concentration of the cosolvent changes. The derived pairwise enthalpic interaction coefficients for the three amino acids were rationalized according to the preferential configuration model. Indications are that, in concentrated urea, the coefficients for citrulline and glutamine are determined mainly by the interactions between the cosolvent and the hydrophilic groups in the molecule of the amino acids. For phenylalanine, coefficients are less positive than in water, because the presence of urea, which solvates preferentially the zwitterions, attenuates hydrophobic interactions between the benzene rings. In ethanol, coefficients for the three amino acid become negative or more negative than in water, because in this medium hydrophilic interactions are enhanced. Chiral recognition, namely the difference in the values of homo- and heterochiral interaction coefficients, was detected only for phenylalanine in urea. Hence, the nature of the cosolvent, influencing differently hydrophilic and hydrophobic interactions, can lead to the detection of chiral recognition also for those systems that, as phenylalanine, do not present this effect in pure water.Key words: α-amino acids, excess functions, molecular interactions, preferential configuration.

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26

Bol’shov, L. A., and S. K. Korneichuk. "THERMODYNAMIC INTERACTION COEFFICIENTS IN LOW-CONCENTRATED LIQUID BINARY ALLOYS." Izvestiya. Ferrous Metallurgy 62, no. 9 (October 23, 2019): 713–18. http://dx.doi.org/10.17073/0368-0797-2019-9-713-718.

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The article considers basic expansion of thermodynamics and thermodynamic interaction coefficients of the first, second and third orders of low-concentrated binary alloys. The values of interaction coefficients of the first and second orders in 37 such systems were estimated according to experimental thermodynamic data on the concentration dependence of excess chemical potential of an impurity in liquid alloys of binary systems. Estimates were obtained by the numerical differentiation method. This method is based on Newton first interpolation formula. Calculation formulas for the corresponding estimates are given. A simple theory is proposed that relates the thermodynamic interaction coefficient of the second order with the first-order one in the liquid alloy of certain system. The theory is based on the lattice model of a solution and the principles of statistical mechanics. The FCC lattice is adopted as a model lattice. The model of pair interaction between metal atoms in the alloy was used. The radius of this interaction corresponds to radius of the nearest atomic shell. Using the proposed theory, thermodynamic interaction coefficients of the second-order for all 37 systems considered in this work, as well as the values of the third order interaction coefficients for 23 systems out of 37 mentioned above, were calculated. For these 23 systems, theoretical estimates of the second-order interaction coefficients are in agreement with experimental ones both by sign and by order of magnitude. This circumstance can be considered as evidence of applicability of the numerical differentiation method for estimation of thermodynamic interaction coefficients of the first and second orders in liquid binary alloys. The accuracy of estimating the values of the third derivative by numerical differentiation is insufficient. That makes it impossible to compare the calculated values of the interaction coefficients of the third order with the experimental ones, obtained by this method. It can be assumed that the theoretical calculations just give an idea of the magnitudes’ order of these coefficients.

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27

Kumar, Sachin, and Brij Mohan. "A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method." Physica Scripta 96, no. 12 (November 24, 2021): 125255. http://dx.doi.org/10.1088/1402-4896/ac3879.

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Abstract This paper investigates the new KP equation with variable coefficients of time ‘t’, broadly used to elucidate shallow water waves that arise in plasma physics, marine engineering, ocean physics, nonlinear sciences, and fluid dynamics. In 2020, Wazwaz [1] proposed two extensive KP equations with time-variable coefficients to obtain several soliton solutions and used Painlevé test to verify their integrability. In light of the research described above, we chose one of the integrated KP equations with time-variable coefficients to obtain multiple solitons, rogue waves, breather waves, lumps, and their interaction solutions relating to the suitable choice of time-dependent coefficients. For this KP equation, the multiple solitons and rogue waves up to fourth-order solutions, breather waves, and lump waves along with their interactions are achieved by employing Hirota's method. By taking advantage of Wolfram Mathematica, the time-dependent variable coefficient's effect on the newly established solutions can be observed through the three-dimensional wave profiles, corresponding contour plots. Some newly formed mathematical results and evolutionary dynamical behaviors of wave-wave interactions are shown in this work. The obtained results are often more advantageous for the analysis of shallow water waves in marine engineering, fluid dynamics, and dusty plasma, nonlinear sciences, and this approach has opened up a new way to explain the dynamical structures and properties of complex physical models. This study examines to be applicable in its influence on a wide-ranging class of nonlinear KP equations.

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28

Schurr, J. Michael, David P. Rangel, and Sergio R. Aragon. "A Contribution to the Theory of Preferential Interaction Coefficients." Biophysical Journal 89, no. 4 (October 2005): 2258–76. http://dx.doi.org/10.1529/biophysj.104.057331.

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29

Sharnouby, Bahaa El, and Milos Novak. "Flexibility coefficients and interaction factors for pile group analysis." Canadian Geotechnical Journal 23, no. 4 (November 1, 1986): 441–50. http://dx.doi.org/10.1139/t86-074.

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Flexibility coefficients of single piles and interaction factors established for groups of two piles are presented to facilitate analysis of arbitrary pile groups exposed to static horizontal loads. Such an analysis may yield pile group flexibility, stiffness, deflection, and distribution of loads on individual piles. The data given are complete in that they include horizontal translation, rotation in the vertical plane, and cross effects between the two, making it possible to establish complete stiffness and flexibility matrices of pile groups provided with either rigid caps or arbitrarily flexible caps. Homogeneous, parabolic, and linear (Gibson's) soil profiles are considered and the piles may have a free length sticking above the ground surface. The methods of group evaluation based on superposition of interaction factors are reviewed and compared and numerical examples are given. Key words: piles, pile groups, lateral loads, flexibility, stiffness, load distribution.

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30

Liu, Jian-Guo, Wen-Hui Zhu, and Li Zhou. "Interaction Solutions for Kadomtsev-Petviashvili Equation with Variable Coefficients." Communications in Theoretical Physics 71, no. 7 (July 2019): 793. http://dx.doi.org/10.1088/0253-6102/71/7/793.

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31

O'Kane, James J., Armin W. Troesch, and Krish P. Thiagarajan. "Hull component interaction and scaling for TLP hydrodynamic coefficients." Ocean Engineering 29, no. 5 (May 2002): 513–32. http://dx.doi.org/10.1016/s0029-8018(01)00039-7.

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32

Barhai, P. K., and A. K. Akhaury. "Symmetry and surface energy coefficients with an effective interaction." Czechoslovak Journal of Physics 41, no. 6 (June 1991): 536–44. http://dx.doi.org/10.1007/bf01624073.

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33

Przybytek, Michal, and Bogumil Jeziorski. "Higher dispersion coefficients for the interaction of helium atoms." Chemical Physics Letters 459, no. 1-6 (June 2008): 183–87. http://dx.doi.org/10.1016/j.cplett.2008.05.042.

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34

Gaganis, Vassilis. "Reduced flash calculations with temperature dependent binary interaction coefficients." Fluid Phase Equilibria 354 (September 2013): 166–76. http://dx.doi.org/10.1016/j.fluid.2013.06.024.

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35

Slater, Paul B. "Transport coefficients for the equilibration of spatial interaction processes." Transportation Research Part B: Methodological 23, no. 1 (February 1989): 49–52. http://dx.doi.org/10.1016/0191-2615(89)90022-2.

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36

Lejček, Pavel, and Siegfried Hofmann. "Prediction of binary interaction coefficients in grain boundary segregation." Surface and Interface Analysis 50, no. 6 (May 10, 2018): 640–47. http://dx.doi.org/10.1002/sia.6452.

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37

Yeasin Bhuiyan, Md, Yanfeng Shen, and Victor Giurgiutiu. "Interaction of Lamb waves with rivet hole cracks from multiple directions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 16 (January 17, 2017): 2974–87. http://dx.doi.org/10.1177/0954406216686996.

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This paper presents the interaction of Lamb waves with rivet hole cracks from multiple directions of incident using the finite element approach. Lamb waves undergo scattering and mode conversion after interacting with the damage. Shear horizontal waves appear in the scattered waves because of the mode conversion. Instead of analyzing the whole large structure, the local damage area is analyzed using finite element analyses and analytical formulation is used to analyze the whole structure. The scatter fields are described in terms of wave damage interaction coefficients that involve scattering and mode conversion of Lamb waves. Lamb wave mode (S0 and A0) hit the damage from multiple directions and corresponding wave damage interaction coefficients are obtained around the damage. Harmonic analysis has been performed over the fundamental frequency domain and “scatter cubes” of complex-valued wave damage interaction coefficients are formed. The scatter cube provides the information of relative amplitude and phase of scattered waves around the damage that can be used for designing the sensor installation. An application based on real time domain signal has been illustrated for the problem of multiple-rivet-hole cracks using the scatter cubes with the analytical framework.

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38

SUZUKI, T., H. MINODA, Y. TANISHIRO, and K. YAGI. "REM STUDIES OF STEP CREATION ENERGIES AND STEP–STEP INTERACTIONS ON Si(111) AND (110) VICINAL SURFACES." Surface Review and Letters 06, no. 06 (December 1999): 985–94. http://dx.doi.org/10.1142/s0218625x99001062.

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We carried out reflection electron microscope (REM) observations of equilibrium shapes of Si(111) and (110) vicinal surfaces to estimate step creation energies and step interaction coefficients. A sample with a cylindrical hole was annealed at 1050°C under AC or DC heating. We measured widths of the facet surfaces and step positions on the vicinal surfaces and estimated the ratios of the step creation energies (B) and the step interaction coefficients (g) of these surfaces. We found that repulsive step–step interaction was stronger on the (110) surfaces than on the (111) surfaces, effective repulsive step–step interactions on both surfaces annealed by DC heating were stronger than those on surfaces annealed by AC heating, and the DC heating effect appeared more strongly on the (111) surfaces than on the (110) surfaces.

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39

Jia, Hui-Xian, and Da-Wei Zuo. "Interaction of the variable-coefficient long-wave–short-wave resonance interaction equations." Modern Physics Letters B 33, no. 01 (January 10, 2019): 1850426. http://dx.doi.org/10.1142/s0217984918504262.

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Long-wave–short-wave resonance interaction (LSRI) equations have been studied in the plasmas, gravity waves, nonlinear electron-plasma and ion-acoustic waves. By virtue of the bilinear method, two soliton solutions of the variable-coefficient LSRI equations are attained. Interaction of the solitons are studied when the coefficients are taken as the generalized Gauss functions. New types of the soliton interaction are exhibited. Position and width of the disturbances can be controlled.

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40

Maslowsky, Julie, Justin Jager, and Douglas Hemken. "Estimating and interpreting latent variable interactions." International Journal of Behavioral Development 39, no. 1 (October 13, 2014): 87–96. http://dx.doi.org/10.1177/0165025414552301.

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Latent variables are common in psychological research. Research questions involving the interaction of two variables are likewise quite common. Methods for estimating and interpreting interactions between latent variables within a structural equation modeling framework have recently become available. The latent moderated structural equations (LMS) method is one that is built into Mplus software. The potential utility of this method is limited by the fact that the models do not produce traditional model fit indices, standardized coefficients, or effect sizes for the latent interaction, which renders model fitting and interpretation of the latent variable interaction difficult. This article compiles state-of-the-science techniques for assessing LMS model fit, obtaining standardized coefficients, and determining the size of the latent interaction effect in order to create a tutorial for new users of LMS models. The recommended sequence of model estimation and interpretation is demonstrated via a substantive example and a Monte Carlo simulation. Finally, extensions of this method are discussed, such as estimating quadratic effects of latent factors and interactions between latent slope and intercept factors, which hold significant potential for testing and advancing developmental theories.

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41

Harichane, Zamila, Mohamed Elhebib Guellil, and Hamid Gadouri. "Benefits of Probabilistic Soil-Foundation-Structure Interaction Analysis." International Journal of Geotechnical Earthquake Engineering 9, no. 1 (January 2018): 42–64. http://dx.doi.org/10.4018/ijgee.2018010103.

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The present article highlights the beneficial effect of considering soil and structure parameters uncertainties on the soil-structure response. The impedance functions of a circular foundation resting on a random soil layer over a homogeneous half-space were obtained by using cone models. The obtained results showed that the randomness of the layer's thickness and the shear wave velocity significantly affected the mean spring coefficients whereby coefficients of variation (COV) of 10% and 20% in these parameters reduced the mean spring coefficients about 32% and 40%, respectively, for the horizontal motion and about 12.5% and 25%, respectively, for the rocking motion. The sensitivity of the mean structural response to the randomness effect was obtained to be more pronounced to structural parameters than to soil parameters. In addition, 20% COV in both soil and structure parameters reduced the mean structural response about 39%, translated by an increase in the damping of the coupled system which may be considered as a beneficial effect from code provisions point of view.

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42

PACHECO, J. M., and W. EKARDT. "THE VAN DER WAALS INTERACTION BETWEEN ALKALI MICROCLUSTERS." Modern Physics Letters B 07, no. 09 (April 20, 1993): 573–90. http://dx.doi.org/10.1142/s0217984993000564.

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The nonretarded van der Waals coefficients C6 and C8 are determined for all pairs of neutral sodium and potassium microclusters with 1, 2, 8 and 20 atoms. The spherical jellium approximation is used to replace their ionic cores, and the valence electrons are treated in the local density approximation of density functional theory. The dynamical polarizabilities of these systems are computed making use of three different methods, two microscopic and quantum mechanical linear response formulations and one classical. It is found that quantum size effects, in particular Landau fragmentation, play a crucial role in the determination of these coefficients. Furthermore, we find that self-interaction errors present in standard microscopic approximations lead to sizeable effects in the strength of the van der Waals coefficients. On the other hand, we find that the vibrational temperature of these clusters has a very small effect in the van der Waals interaction which can be disregarded within the range of temperatures presently reachable experimentally.

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43

DE OLIVEIRA, GUILHERME C., AGNALDO R. DE ALMEIDA, MARTA J. F. S. SOUZA, ARTHUR M. MORAES, and CELIA M. A. DANTAS. "SCATTERING OF ATOMS BY LIGHT: MEASURING THE QUANTUM STATE OF THE FIELD IN A CAVITY." International Journal of Modern Physics B 20, no. 03 (January 30, 2006): 325–39. http://dx.doi.org/10.1142/s0217979206033231.

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This work consists in a generalization of the developed method to measure the quantum state of the field in a cavity with all non null coefficients, in the number representation, through one photon interaction. We present a strategy to measure the quantum state of the field when it has all non-null coefficients or only even or odd coefficients through a two-photons atom-field interaction.

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Williams, A. N., and J. Vazquez. "Wave Interaction With a Rectangular Pit." Journal of Offshore Mechanics and Arctic Engineering 113, no. 3 (August 1, 1991): 193–98. http://dx.doi.org/10.1115/1.2919919.

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A Green function approach is utilized to investigate wave interaction with a rectangular pit of finite dimensions in water of otherwise constant depth. The fluid domain is divided into two regions: an interior region which is finite in extent and represents the pit itself, and an exterior region consisting of the remainder of the fluid domain. An integral equation solution utilizing an appropriate Green function in the exterior region is linked to an interior solution in the form of a Fourier expansion containing unknown potential coefficients through matching conditions at the imaginary interface between the two regions. Discretizing the integral equation leads to a matrix system for these potential coefficients which may be solved using standard matrix techniques. Numerical results are presented for several example geometries which illustrate the effect of pit characteristics and incident wave direction on the water surface elevation.

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Li, Changjun, Gang Liu, and Yang Peng. "Predicting sulfur solubility in hydrogen sulfide, carbon dioxide, and methane with an improved thermodynamic model." RSC Advances 8, no. 29 (2018): 16069–81. http://dx.doi.org/10.1039/c8ra01744a.

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The binary interaction coefficients between sulfur and H₂S, CO₂or CH₄are not constant, but temperature dependent. Three-parameter temperature-dependent equations for the binary interaction coefficients between sulfur and solvents are proposed.

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46

Axelsson, P., J. Larsson, and L. Stenflo. "Nonlinear interaction between acoustic gravity waves." Annales Geophysicae 14, no. 3 (March 31, 1996): 304–8. http://dx.doi.org/10.1007/s00585-996-0304-3.

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Abstract. The resonant interaction between three acoustic gravity waves is considered. We improve on the results of previous authors and write the new coupling coefficients in a symmetric form. Particular attention is paid to the low-frequency limit.

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Costa, e. "Interaction parameters of oxygen and deoxidants in liquid iron." Journal of Mining and Metallurgy, Section B: Metallurgy 52, no. 1 (2016): 41–46. http://dx.doi.org/10.2298/jmmb150901001c.

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During decades before the evolution of more powerful computational tools, simplified formalisms such as the Wagner dilute solution formalism, have been successfully used in the study of deoxidation reactions of steel. This formalism relies on the introduction of interaction coefficients to account from deviations from Henry?s Law. With the evolution of thermodynamic modeling and of the CALPHAD method, the fact that thermodynamic descriptions using these parameters were derived to be used at relatively dilute solution has been sometimes overlooked and the formalism has been criticized for deviating from reality in non-dilute solutions. In this work, it is shown that the interaction parameters used in this formalism correlate with properties of the solutes and of the solvent. The work focuses on the interactions in systems Fe-M-O, where M is a deoxidant. Correlations between interaction coefficients and heats of formation of the corresponding oxides and with the atomic number of the deoxidants are demonstrated. This not only helps supporting the physicochemical soundness of the formalism but also provides a way of checking the consistency of data presented in this formalism.

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Khusainov, R. B., B. Sh Yuldoshev, D. Abdullaev, and S. B. Khusainov. "Longitudinal vibrations of underground pipelines of finite length in medium surrounded by soil with different properties along pipeline length." E3S Web of Conferences 401 (2023): 04060. http://dx.doi.org/10.1051/e3sconf/202340104060.

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An analysis of the dynamic response of an underground main pipeline under a longitudinal wave propagating in soil along the pipe is given in the article. The problem of the longitudinal wave impact on a pipeline of finite length, interacting with soil according to the elastic-viscous law, is considered. The ends of the pipeline are fixed to massive nodes that interact with the medium according to linear laws. Along the length of the pipeline, the coefficients of the elastic and viscous pipeline-soil interaction change depending on the coordinate. In this article, the influence of the coefficients of elastic and viscous interaction of the "pipe-soil" system is studied when these coefficients are coordinate functions. The variability of the values of the coefficients along the length of the pipeline leads to a change in displacements from 0 to 15% and strain from 0 to 18%, compared with the case when these coefficients are constant. Depending on the length of the pipeline, the response of the pipeline to seismic action is different. This is especially evident at the boundary points. Considering the weight of nodes leads largely to a decrease in the strain of the pipeline relative to the soil strain at the boundary points.

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Wang, Wen. "Research on the System Symbiotic Evolution Equation of Maritime Transportation Economic Belt with Specific Scale Variables." E3S Web of Conferences 253 (2021): 01035. http://dx.doi.org/10.1051/e3sconf/202125301035.

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In order to study the relationship between marine transportation and the development of coastal areas and their evolutionary trends, the part of maritime transportation is expanded in the theory of transportation economic belt. This paper takes the shipping volume of the shipping passage and the landward depth of the economic belt as the symbiotic scale variables, and establishes the unilateral non independent symbiosis evolution logistic equation of maritime transport economic belt. A quantitative approach is proposed to get the form of the interaction coefficients of the variables with theories of transportation economy, plume model, and calculus etc., solving the unknown coefficients, then obtains the increasing and decreasing factors of the interaction coefficients. Results show that the interaction coefficients of both scale variables decrease with the increase of their values.

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Frank, M. R., and T. Meissner. "Low-energy QCD: Chiral coefficients and the quark-quark interaction." Physical Review C 53, no. 5 (May 1, 1996): 2410–21. http://dx.doi.org/10.1103/physrevc.53.2410.

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