"Non UBC"@en .
"DSpace"@en .
"Vered Rom-Kedar"@en .
"2019-04-02T09:33:27Z"@en .
"2018-03-19T20:23"@en .
"In 1949, Fermi proposed a mechanism for the heating of particles\nin cosmic rays. He suggested that on average, charged particles gain\nenergy from collisions with moving magnetic mirrors since they hit\nthe mirrors more frequently with heads on collisions. Fermi, Ulam\nand their followers modeled this problem by studying the energy gain\nof particles moving in billiards with slowly moving boundaries. Until\n2010 several examples of such oscillating billiards leading to power-\nlaw growth of the particles averaged energy were studied. In 2010\nwe constructed an oscillating billiard which produces exponential in\ntime growth of the particles energy [1]. The novel mechanism which\nleads to such an exponential growth is robust and may be extended to\narbitrary dimension. Moreover, the exponential rate of the energy gain\nmay be predicted by utilizing adiabatic theory and probabilistic models\n[2,3]. The extension of these results to billiards with mixed phase space\nleads to the development of adiabatic theory for non-ergodic systems\n[4]. Finally, such accelerators lead to a faster energy gain in open\nsystems, when particles are allowed to enter and exit them through\na small hole [5]. The implications of this mechanism on transport in\nextended systems [6] and on equilibration of energy in closed systems like springy billiards will be discussed [7].\nThese are joint works, mainly with with K. Shah, V. Gelfreich and\nD. Turaev [1-5],[7] and [6] is with M. Pinkovezky and T. Gilbert:\n[1] K. Shah, D. Turaev and V. Rom-Kedar, Exponential energy\ngrowth in a Fermi accelerator, Phys. Rev. E 81, 056205, 2010.\n[2] V. Gelfreich, V. Rom-Kedar, K. Shah, D. Turaev, Robust expo-\nnential accelerators, PRL 106, 074101, 2011."@en .
"https://circle.library.ubc.ca/rest/handle/2429/69396?expand=metadata"@en .
"53.0 minutes"@en .
"video/mp4"@en .
""@en .
"Author affiliation: Weizmann Institute"@en .
"Banff (Alta.)"@en .
"10.14288/1.0377738"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Faculty"@en .
"BIRS Workshop Lecture Videos (Banff, Alta)"@en .
"Mathematics"@en .
"Dynamical systems and ergodic theory"@en .
"Probability theory and stochastic processes"@en .
"Dynamical systems"@en .
"Exponential Fermi accelerators in closed and open geometries and on energy equilibration"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/69396"@en .