Fast symplectic map tracking for the CERN Large Hadron Collider
Tracking simulations remain the essential tool for evaluating how multipolar imperfections in ring magnets restrict the domain of stable phase-space motion. In the Large Hadron Collider (LHC) at CERN, particles circulate at the injection energy, when multipole errors are most significant, for more t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2003-06-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.6.064001 |
| _version_ | 1819112149573697536 |
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| author | Dan T. Abell Eric McIntosh Frank Schmidt |
| author_facet | Dan T. Abell Eric McIntosh Frank Schmidt |
| author_sort | Dan T. Abell |
| collection | DOAJ |
| description | Tracking simulations remain the essential tool for evaluating how multipolar imperfections in ring magnets restrict the domain of stable phase-space motion. In the Large Hadron Collider (LHC) at CERN, particles circulate at the injection energy, when multipole errors are most significant, for more than 10^{7} turns, but systematic tracking studies are limited to a small fraction of this total time—even on modern computers. A considerable speedup is expected by replacing element-by-element tracking with the use of a symplectified one-turn map. We have applied this method to the realistic LHC lattice, version 6, and report here our results for various map orders, with special emphasis on precision and speed. |
| first_indexed | 2024-12-22T04:08:55Z |
| format | Article |
| id | doaj.art-08116996a6e84824a292453d4bfc52c6 |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-12-22T04:08:55Z |
| publishDate | 2003-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-08116996a6e84824a292453d4bfc52c62022-12-21T18:39:34ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022003-06-016606400110.1103/PhysRevSTAB.6.064001Fast symplectic map tracking for the CERN Large Hadron ColliderDan T. AbellEric McIntoshFrank SchmidtTracking simulations remain the essential tool for evaluating how multipolar imperfections in ring magnets restrict the domain of stable phase-space motion. In the Large Hadron Collider (LHC) at CERN, particles circulate at the injection energy, when multipole errors are most significant, for more than 10^{7} turns, but systematic tracking studies are limited to a small fraction of this total time—even on modern computers. A considerable speedup is expected by replacing element-by-element tracking with the use of a symplectified one-turn map. We have applied this method to the realistic LHC lattice, version 6, and report here our results for various map orders, with special emphasis on precision and speed.http://doi.org/10.1103/PhysRevSTAB.6.064001 |
| spellingShingle | Dan T. Abell Eric McIntosh Frank Schmidt Fast symplectic map tracking for the CERN Large Hadron Collider Physical Review Special Topics. Accelerators and Beams |
| title | Fast symplectic map tracking for the CERN Large Hadron Collider |
| title_full | Fast symplectic map tracking for the CERN Large Hadron Collider |
| title_fullStr | Fast symplectic map tracking for the CERN Large Hadron Collider |
| title_full_unstemmed | Fast symplectic map tracking for the CERN Large Hadron Collider |
| title_short | Fast symplectic map tracking for the CERN Large Hadron Collider |
| title_sort | fast symplectic map tracking for the cern large hadron collider |
| url | http://doi.org/10.1103/PhysRevSTAB.6.064001 |
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