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The conservation law T j ij = 0 implies that the two components ρ1 and ρ2 interact through the interacting term Q as follows: ρ ˙ 1 + 4 H ρ 1 + p 1 = Q Open image in new window (8) ρ ˙ 2 + 4 H ρ 2 + p 2 = − Q. Open image in new window (9).
We consider different forms of the interacting term Q for solving these equations.
The nature of the interacting term Q is not clear at all.
The transfer of energy from dust to phantom matter takes place as the interacting term Q is positive.
To get simultaneous positive densities, we must have 0 < α < 2. The interacting term Q is positive for α < 2 which means that there is transfer of energy from dust to phantom matter.
Here, we have shown that the mutual exchange of energy between two perfect fluids can be described by energy densities which are proportional to 1 t 2 Open image in new window and the interacting term proportional to 1 t 3 Open image in new window.
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After neglecting the effect of insignificant interacting terms from the general quadratic model, the simplified quadratic models for the cell disruption capability and specific protein release of HBsAg protein by cell disruption using high pressure homogenizer were constructed in terms of coded values and are shown in Equations 1 and 2 respectively.
The full model included an interaction term between the two interacting variables for the risk of breast cancer.
We separate the molecular potential into non-interacting terms representing respectively bond stretching, angle bending and torsional rotation.
The energy densities of the two interacting perfect fluid components are proportional to ( 1 t 2 Open image in new window), and the interaction term is proportional to ( 1 t 3 Open image in new window) in all cases.
In 1961 two physicists, Murray Gell-Mann of the United States and Yuval Neʾeman of Israel, proposed a particle classification scheme called the Eightfold Way, based on the mathematical symmetry group SU 3), which described strongly interacting particles in terms of building blocks.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com