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Equilibration of energy in slow-fast systems
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Shah, Kushal, Turaev, Dmitry, Gelfreich, Vassili and Rom-Kedar, Vered (2017) Equilibration of energy in slow-fast systems. Proceedings of the National Academy of Sciences of the United States of America, 114 (49). E10514-E10523. doi:10.1073/pnas.1706341114 ISSN 0027-8424.
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Official URL: https://doi.org/10.1073/pnas.1706341114
Abstract
Do partial energies in slow–fast Hamiltonian systems equilibrate? This is a long-standing problem related to the foundation of statistical mechanics. Altering the traditional ergodic assumption, we propose that nonergodicity in the fast subsystem leads to equilibration of the whole system. To show this principle, we introduce a set of mechanical toy models—the springy billiards—and describe stochastic processes corresponding to their adiabatic behavior. We expect that these models and this principle will play an important role in the quest to establish and study the underlying postulates of statistical mechanics, one of the long-standing scientific grails.
| Item Type: | Journal Article | ||||||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Hamiltonian systems, Statistical mechanics | ||||||||||||||||||||||||
| Journal or Publication Title: | Proceedings of the National Academy of Sciences of the United States of America | ||||||||||||||||||||||||
| Publisher: | National Academy of Sciences | ||||||||||||||||||||||||
| ISSN: | 0027-8424 | ||||||||||||||||||||||||
| Official Date: | December 2017 | ||||||||||||||||||||||||
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| Volume: | 114 | ||||||||||||||||||||||||
| Number: | 49 | ||||||||||||||||||||||||
| Page Range: | E10514-E10523 | ||||||||||||||||||||||||
| DOI: | 10.1073/pnas.1706341114 | ||||||||||||||||||||||||
| Status: | Peer Reviewed | ||||||||||||||||||||||||
| Publication Status: | Published | ||||||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||||||||||||||
| Date of first compliant deposit: | 6 November 2017 | ||||||||||||||||||||||||
| Date of first compliant Open Access: | 30 November 2017 | ||||||||||||||||||||||||
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