Energy diffusion and absorption in chaotic systems with rapid periodic driving
When a chaotic, ergodic Hamiltonian system with N degrees of freedom is subject to sufficiently rapid periodic driving, its energy evolves diffusively. We derive a Fokker-Planck equation that governs the evolution of the system's probability distribution in energy space, and we provide explicit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013219 |
| _version_ | 1797211046015926272 |
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| author | Wade Hodson Christopher Jarzynski |
| author_facet | Wade Hodson Christopher Jarzynski |
| author_sort | Wade Hodson |
| collection | DOAJ |
| description | When a chaotic, ergodic Hamiltonian system with N degrees of freedom is subject to sufficiently rapid periodic driving, its energy evolves diffusively. We derive a Fokker-Planck equation that governs the evolution of the system's probability distribution in energy space, and we provide explicit expressions for the energy drift and diffusion rates. Our analysis suggests that the system generically relaxes to a long-lived prethermal state characterized by minimal energy absorption, eventually followed by more rapid heating. When N≫1, the system ultimately absorbs energy indefinitely from the drive, or at least until an infinite temperature state is reached. |
| first_indexed | 2024-04-24T10:20:15Z |
| format | Article |
| id | doaj.art-2eb65acbf2f246a493ac341004f328dd |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:15Z |
| publishDate | 2021-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-2eb65acbf2f246a493ac341004f328dd2024-04-12T17:08:05ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-013101321910.1103/PhysRevResearch.3.013219Energy diffusion and absorption in chaotic systems with rapid periodic drivingWade HodsonChristopher JarzynskiWhen a chaotic, ergodic Hamiltonian system with N degrees of freedom is subject to sufficiently rapid periodic driving, its energy evolves diffusively. We derive a Fokker-Planck equation that governs the evolution of the system's probability distribution in energy space, and we provide explicit expressions for the energy drift and diffusion rates. Our analysis suggests that the system generically relaxes to a long-lived prethermal state characterized by minimal energy absorption, eventually followed by more rapid heating. When N≫1, the system ultimately absorbs energy indefinitely from the drive, or at least until an infinite temperature state is reached.http://doi.org/10.1103/PhysRevResearch.3.013219 |
| spellingShingle | Wade Hodson Christopher Jarzynski Energy diffusion and absorption in chaotic systems with rapid periodic driving Physical Review Research |
| title | Energy diffusion and absorption in chaotic systems with rapid periodic driving |
| title_full | Energy diffusion and absorption in chaotic systems with rapid periodic driving |
| title_fullStr | Energy diffusion and absorption in chaotic systems with rapid periodic driving |
| title_full_unstemmed | Energy diffusion and absorption in chaotic systems with rapid periodic driving |
| title_short | Energy diffusion and absorption in chaotic systems with rapid periodic driving |
| title_sort | energy diffusion and absorption in chaotic systems with rapid periodic driving |
| url | http://doi.org/10.1103/PhysRevResearch.3.013219 |
| work_keys_str_mv | AT wadehodson energydiffusionandabsorptioninchaoticsystemswithrapidperiodicdriving AT christopherjarzynski energydiffusionandabsorptioninchaoticsystemswithrapidperiodicdriving |