Is this an idea or a device? (fusion plasma confinement configuration)

[bayakiv]

TL;DR

Is there a device (fusion power) that combines both a tokamak and a magnetic mirror with electrostatic plasma confinement?

The idea itself is to create in a toroidal chamber a spiral-shaped plasma filament with a singularity in the form of a ring of rotating plasma, in which the concentration of ions and the duration of nuclear interaction increase during electrostatic compression. For this, it is proposed to wind a winding on the torus so that its density increases as it approaches the singularity that forms the ring of the rotating plasma, and both alternating and direct voltage should be applied to the torus winding.

 

[bayakiv]

Probably the most interesting case of this toy model would be when the radius of the rotating ring of plasma ions would approach the radius of the Larmor circle . Then the nuclear interaction would not be collisional (temperature), but collective, in which a chain of nuclei +++++++ is closed in a ring and therefore the probability of merging of some links of this chain increases.

 

[bayakiv]

It seems that it is time to reinforce with formulas the condition of equality of the radius of the ionic ring formed by the electric field and the radius of the Larmor circle of rotating ions formed by the magnetic field.
Since we have $R_{E}=\frac{mv^{2}}{q|E|}$ and $R_{B}=\frac{m|v|}{q|B|}$ then the condition $R_{E}=R_{B}$ implies $$\frac{|E|}{|v|}=|B|=\rm{const}$$ And since the law of conservation of angular momentum implies a quadratic increase in the speed of the ring during its compression, then in order to fulfill equality $R_{E}=R_{B}$ during compression of the ring of ions it is necessary to use an electrostatic field, the value of which is inversely proportional to the square of the radius. It should also be noted that due to the Maxwell distribution of ion velocities, our ring is in fact a disk.

P.S. Do you think the name "tornado" is suitable for this toy reactor?

 

[bayakiv]

Probably the most interesting case of this toy model would be when the radius of the rotating ring of plasma ions would approach the radius of the Larmor circle . Then the nuclear interaction would not be collisional (temperature), but collective, in which a chain of nuclei +++++++ is closed in a ring and therefore the probability of merging of some links of this chain increases.

I will try to explain my idea. To overcome the Coulomb barrier in the collision of a pair of ions of a chaotic plasma, they need to have high velocities (the plasma must be high-temperature), and to overcome the Coulomb barrier of a pair of ions in a rotating plasma, it is not the rotation rate that is important, but the number of ions that fit on their collective trajectory. If pairs of neighboring ions are at a relatively close distance during collective motion along a circle for a long time, then the probability of their nuclear fusion increases strongly. In addition, the accelerating mechanism can play a role here, since the density of ions increases sharply with rapid compression of the ring. By the way, it is possible that the phenomenon of sonoluminescence can be explained through an avalanche-like increase in the concentration of gas atoms in the near-wall region of the collapsing bubble.

P.S. It is possible that with a long time of interaction of nuclei it will be necessary to apply the generalized Schrödinger equation, therefore, just in case, I will write it out here
$$
\begin{equation}
\mathrm{i}\frac{\partial \psi(t,x)}{\partial t}= -\frac{\mathrm{e}^{-t\beta}}{4\pi} \frac{\partial^2 \psi(t,x)}{\partial x^2}
\end{equation}
$$
P.P.S. You will say that all this is theory, and where the experiment is and you will be right. However, what are your suggestions?

 

[berkeman]

Summary:: Is there a device (fusion power) that combines both a tokamak and a magnetic mirror with electrostatic plasma confinement?

The idea itself is to create in a toroidal chamber a spiral-shaped plasma filament with a singularity in the form of a ring of rotating plasma, in which the concentration of ions and the duration of nuclear interaction increase during electrostatic compression. For this, it is proposed to wind a winding on the torus so that its density increases as it approaches the singularity that forms the ring of the rotating plasma, and both alternating and direct voltage should be applied to the torus winding.

Using the PF to help with your personal research / personal theory development is not allowed. After a Mentor discussion, this thread is closed.