DOE OSTI · 2589289
Gromov ground state in phase space engineering for fusion energy
Abstract
Phase space engineering by rf waves plays important roles in both thermal D-T fusion and nonthermal 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 nonsqueezing theorem imposes another constraint. Here, 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 nonsqueezing 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.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
Qin, Hong [Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton University, NJ (United States)] (ORCID:0000000303043762), Kolmes, Elijah J. [Princeton University, NJ (United States)] (ORCID:0000000153035299), Updike, Michael [Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton University, NJ (United States)] (ORCID:0009000394056565), Bohlsen, Nicholas [Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton University, NJ (United States)] (ORCID:0009000833380683), Fisch, Nathaniel J. [Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton University, NJ (United States)] (ORCID:0000000203017380). 2025-02-19. Gromov ground state in phase space engineering for fusion energy. https://doi.org/10.1103/physreve.111.025205
Cite the original work for its findings. Save a collection to share your selection of sources.