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Gromov ground state in phase space engineering for fusion energy
Gromov ground state in phase space engineering for fusion energy
- Publication Year :
- 2024
-
Abstract
- Phase space engineering by RF waves plays important roles in both thermal D-T fusion and non-thermal advanced fuel fusion. But not all phase space manipulation is allowed, certain fundamental limits exist. In addition to Liouville's theorem, which requires the manipulation to be volume-preserving, Gromov's non-squeezing theorem imposes another constraint. The Gardner ground state is defined as the ground state accessible by smooth volume-preserving maps. However, the extra Gromov constraint should produce a higher-energy ground state. An example of a Gardner ground state forbidden by Gromov's non-squeezing theorem is given. The challenge question is: What is the Gromov ground state, i.e., the lowest energy state accessible by smooth symplectic maps? This is a difficult problem. As a simplification, we conjecture that the linear Gromov ground state problem is solvable.<br />Comment: 17 pages, 1 figure
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2412.08494
- Document Type :
- Working Paper