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VbvAstE-001

Book Boris V. Vasiliev Astrophysics

3.3 The equilibrium in

3.3 The equilibrium in plasma electron gas subsystem Nonuniformly polarized matter can be represented by an electric charge distribution with density [13] ˜ϱ = divEs = divP 4π 3 . (3.6) The full electric charge of cells placed inside the sphere with radius r Q r = 4π ∫ r 0 ˜ϱr 2 dr (3.7) determinants the electric field intensity applied to a cell placed on a distance r from center of a star Ẽ = Qr (3.8) r 2 As a result, the action of a nonuniformly polarized environment can be described by the force ˜ϱẼ. This force must be taken into account in the formulating of equilibrium equation. It leads to the following form of the Euler equation: γg + ˜ϱẼ + ∇P = 0 (3.9) 23

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