Speaker
Description
Our work addresses the challenge of estimating spin polarization in high-energy electron and positron storage rings, such as the Electron Storage Ring (ESR) of the Electron-Ion Collider (EIC) at Brookhaven National Lab (BNL) and those in the electron/positron Future Circular Collider (FCC-ee) at CERN. We model the spin and orbital motion of particle bunches using the recently introduced spin-orbit Fokker-Planck (SOFP) equation, a linear time-evolution partial differential equation (PDE). In this paper, we propose a novel machine learning (ML) approach leveraging a randomized Fourier neural network (rFNN) framework*, specifically designed to solve linear PDEs. We will discuss the SOFP high-light its relevance to spin polarization studies, and share preliminary results demonstrating the network’s performance on the Poisson problem.
Funding Agency
Supported by U.S. Department of Energy, Office of Science, under Award Numbers
DE-SC0018008 and DE-SC0025476
Footnotes
K. Heinemann, D. Appelo, D. P. Barber, O. Beznosov, and J. A. Ellison. Int. Journal of Mod. Phys.
A, Vol. 34, 1942032 (2019). See also: arXiv:2101.08955 [physics.acc-ph] ** O. Davis, G. Geraci, and M.
Motamed. To appear in SIAM J. Sci. Comp. (2025). See also: arXiv:2407.11894 [cs.LG].
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