mheslep said:
Ok, but that would be _one_ way, not two. X-rays from the collisions are not dependent on the system entropy.
No, two ways:
1.) The IEC concept, and in particular the "gridless" IEC concept, depends crucially on maintaining a disequilibrium state between the electrons and ions, in order to create the electron space-charge potential well that the ions fall into. Due to coulomb scattering of the electrons off the ions, the electron and ion distributions will necessarily relax toward mutual thermodynamic equilibrium, which relaxation creates entropy. Maintaining a disequilibrium state between the electrons and ions necessarily costs power, to make up for the energy lost to the entropy being produced as the distributions continuously try to relax back toward equilibrium. Rider has proved using a 2nd Law argument that the power consumed to maintain the electron/ion disequilibrium exceeds the gain in fusion power obtained from operating the IEC reactor in an electron/ion disequilibrium state; this portion of Rider's argument does not depend on nor involve any specific loss mechanism --- it depends only on kinetic theory, and the 2nd Law of Thermodynamics.
2.) Since according to the 2nd Law, maintaining a disequilibrium state costs power, a portion of the reactor's output must therefore necessarily be "recycled" to maintain the disequilibrium state, over and above the power required to make up losses. By the 2nd Law, this power-recycling process cannot be 100% efficient. Furthermore, since an IEC reactor does not operate in an "ignited" mode, power must necessarily also be recycled to make up for losses in the reactor itself (of which the single largest loss is bremsstrahlung). Rider shows that for any fuel combinations except D+T and D+D, both the amount of recycled power and the losses incurred during power recycling will be prohibitively high (i.e., a large fraction of the reactor's total power output) --- and therefore, an IEC reactor cannot reach
economic breakeven, even if somehow it
does manage to achieve scientific and engineering breakevens.
mheslep said:
Nebel, formerly of Los Alamos, recently on an IEC machine w/ no grid:
nebel said:
..1. The theory says that you can beat Bremsstrahlung, but it's a challenge. The key is to keep the Boron concentration low compared the proton concentration so Z isn’t too bad. You pay for it in power density, but there is an optimum which works. You also gain because the electron energies are low in the high density regions.
I am
extremely skeptical of this claim by Nebel. Bremsstrahlung scales as the square of the ion charge, so bremsstrahlung off Boron is 25 times worse than bremsstrahlung off D or T, and six times worse than bremsstrahlung off He3. Since the fusion power scales as the product of the proton and boron ion densities, trying to beat bremsstrahlung by running a "lean mix" (lowering the boron ion concentration relative to the proton concentration) necessarily also decreases the output power, so it is a self-defeating strategy. To achieve the same power, a "lean mix" reactor will require a proportionally higher core volume. Since bremsstrahlung power scales with ion number, at a rough estimate, I would expect that for the same bremsstrahlung loss rate, a p+B reactor would require on the order of 25 times lower boron concentration than proton concentration, requiring a core volume roughly 25 times larger for the same output fusion power, i.e., at least roughly three times larger reactor radius. Raising the reactor radius makes
everything more difficult, since contrary to Bussard's claims, it is
not possible to make the magnetic field also scale with radius: For superconducting coils, the maximum B is set by the critical field strength of that superconductor, not by the dimensions of the coil, while for normal coils, electrical resistive losses in the coils will become prohibitive as they get larger, plus the coils will become more and more difficult to cool.
nebel said:
4. The machine does not use a bi-modal velocity distribution. We have looked at two-stream in detail, and it is not an issue for this machine. The most definitive treatise on the ions is : L. Chacon, G. H. Miley, D. C. Barnes, D. A. Knoll, Phys. Plasmas 7, 4547 (2000) which concluded partially relaxed ion distributions work just fine. Furthermore, the Polywell doesn’t even require ion convergence to work (unlike most other electrostatic devices). It helps, but it isn’t a requirement.
Red Herring.
The 2nd Law limit on IEC comes from the necessary disequilibrium between the electron and ion distributions ---
not from the secondary disequilibrium between ion species. Two-stream instability is a collective effect that increases the thermalization rate of the plasma --- but even if two-stream and other instabilities were somehow completely eliminated, the unavoidable coulomb collisions between the electrons and ions will still cause their energy distributions to relax toward equilibrium with each other, generating entropy during the process. To maintain the electron/ion disequilibrium will cost power. Rider shows that maintaining this disequilibrium will cost more power than will be gained from operating at an electron/ion disequilibrium.