Frozen-in and resistive force-free fields in moving fluids

Abstract

Conclusion in [1] have been further verified. New results are: (1) If the electric potential ▿φ obeys the gauge relation $\text{∂}\text{A}\text{∂t}\text{·}\text{B}\text{=0}$ then the necessary and sufficient condition for α to be constant is $\text{▿×(}\text{V}\text{×}\text{B}\text{)=β}\text{B}\text{,}\text{∂}\text{A}\text{̀}\text{∂t}\text{=0}$. (2) An equation governing the behaviour of α has been derived, which shows that the electrical resistance is the agency that causes a non-constant α to evolve into a constant one.