Abstract
Some processes of heat and electrical charge transfer under relativistic conditions have been studied allowing for primordial substance anisotropy. In particular, electrical charge convection and conductivity were examined in the framework of 3-D and 4-D formalisms. Dependences were obtained in which the left-hand-sides and right-hand-sides transformed identically as v , с → where v was the velocity of the object under study, c was the speed of light. Dependences were also obtained for the heat transfer in the framework of 4-D formalism under relativistic conditions when the substance in the system was primordially anisotropic. The above dependences for the charge transfer are correct for systems where charges, e.g., electrons, can move more quickly than photons (Cherenkov's case). A consistent relativistic thermodynamics was also to be obtainable only if H.Ott's temperature transformation under relativistic conditions takes place. Range of Considered Symbols. α J and α
Highlights
In [1] transfer processes under relativistic conditions were studied
Is incorrect under relativistic conditions as well, since its left side transforms proportionally to 1 − β 2 if, e.g., v is parallel to X1, but its right side varies in inverse proportion to 1 − β 2 for the observer in the laboratory reference frame, since the velocity v is independent of 1 − β 2
As shown in Introduction, the well-known dependences for charge and heat transfer, i.e., formulae (10), (3) and (14), are incorrect under relativistic conditions so as, first, their left- and right-hand-sides do not transform identically in the case under study; second, the kinetic coefficients in the formulae are scalars under the Lorentz transformations; third, the temperature does not transform under the Lorentz ones
Summary
In [1] transfer processes under relativistic conditions were studied. They were the processes of heat and mass transfer and the viscous flow process. If in (5) and (6) we replace quantity q by ρ, we shall obtain an expression for the electron diffusion It will be correct under relativistic conditions if the medium is primordially isotropic. Analogous picture may take place for charge transfer when the coefficient σ could be as tensor of rank 2, i.e., σ αβ ≠ 0 , if α≠β In this case the expression for the density current jα (g1/2 ∙ cm-1/2 ∙ s-2) will have such a form in Euclidean space for the observer being in the laboratory reference frame: jα = σαβ Gβ , α , β = 1,2,3,. The researchers are sure that the dependences they obtained are correct under relativistic conditions They did not study objects in the medium being primordially anisotropic. At last, summing up all results obtained, we contemplate to show that the temperature must transform under relativistic conditions according to H.Ott and only according to him
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