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We consider a dynamical system on the semi-infinite cylinder which models the high energy dynamics of a family of mechanical models. We provide conditions under which we ensure that the set of orbits undergoing Fermi acceleration has…

Dynamical Systems · Mathematics 2015-06-04 Jacopo De Simoi

Cosmic rays are deemed to be generated by a process known as ``Fermi acceleration", in which charged particles scatter against magnetic fluctuations in astrophysical plasmas. The process itself is however universal, has both classical and…

Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian system. As the parameters of the system change with time,…

Chaotic Dynamics · Physics 2015-03-17 Tiago Pereira , Dmitry Turaev

Fermi acceleration is the process of energy transfer from massive objects in slow motion to light objects that move fast. The model for such process is a time-dependent Hamiltonian system. As the parameters of the system change with time,…

Chaotic Dynamics · Physics 2015-06-23 Tiago Pereira , Dmitry Turaev

In highly conducting astrophysical plasmas, charged particles are generically accelerated through Fermi-type processes involving repeated interactions with moving magnetized scattering centers. The present paper proposes a generalized…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine

The phenomenon of Fermi acceleration is addressed for a dissipative bouncing ball model with external stochastic perturbation. It is shown that the introduction of energy dissipation (inelastic collisions of the particle with the moving…

Chaotic Dynamics · Physics 2009-03-11 Edson D. Leonel

A physical consequence of a well-known Fermi's theorem: no motion of masses can generate gravitational waves.

General Physics · Physics 2007-05-23 A. Loinger

We study the collisionless spin dynamics of a harmonically trapped Fermi gas in a magnetic field gradient. In the absence of interactions, the system evolution is periodic: the magnetization develops twists, which evolve into a longitudinal…

Quantum Gases · Physics 2015-04-20 Junjun Xu , Qiang Gu , Erich J. Mueller

After a successful development of theoretical and numerical works on Fermi acceleration at relativistic shocks, some difficulties recently raised with the scattering issue, a crucial aspect of the process. Most pioneering works were…

Astrophysics · Physics 2009-11-13 Guy Pelletier , Martin Lemoine , A. Marcowith

While a growing body of research indicates that relativistic magnetic reconnection is a prodigious source of particle acceleration in high-energy astrophysical systems, the dominant acceleration mechanism remains controversial. Using a…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Fan Guo , Xiaocan Li , William Daughton , Patrick Kilian , Hui Li , Yi-Hsin Liu , Wangcheng Yan , Dylan Ma

We find a normal form which describes the high energy dynamics of a class of piecewise smooth Fermi-Ulam ping pong models; depending on the value of a single real parameter, the dynamics can be either hyperbolic or elliptic. In the first…

Dynamical Systems · Mathematics 2015-06-03 Jacopo De Simoi , Dmitry Dolgopyat

The discovery of the Fermi bubbles---a huge bilobular structure seen in GeV gamma-rays above and below the Galactic center---implies the presence of a large reservoir of high energy particles at $\sim 10 \, \text{kpc}$ from the disk. The…

High Energy Astrophysical Phenomena · Physics 2019-02-27 Philipp Mertsch , Vahé Petrosian

We discuss the nature of phase transitions in the self-gravitating Fermi gas at non-zero temperature. This study can be relevant for massive neutrinos in Dark Matter models and for collisionless self-gravitating systems experiencing a…

Astrophysics · Physics 2007-05-23 P. H. Chavanis

A gas of noninteracting particles diffuses in a lattice of pulsating scatterers. In the finite horizon case with bounded distance between collisions and strongly chaotic dynamics, the velocity growth (Fermi acceleration) is well described…

Chaotic Dynamics · Physics 2017-06-29 Carl P. Dettmann , Edson D. Leonel

We propose a set of devices of simple geometrical design which may exhibit a permanent rotation due to quantum (vacuum) fluctuations. These objects - which have no moving parts - impose certain boundary conditions on quantum fluctuations…

Quantum Physics · Physics 2012-03-30 M. N. Chernodub

We provide an $F(R)$ gravity description of a $\Lambda$CDM bouncing model, without the need for matter fluids or for cosmological constant. As we explicitly demonstrate, the two cosmological eras that constitute the $\Lambda$CDM bouncing…

General Relativity and Quantum Cosmology · Physics 2015-06-23 S. D. Odintsov , V. K. Oikonomou

Relativistic sources, e.g. gamma-ray bursts, pulsar wind nebulae and powerful active galactic nuclei produce relativistic outflows that lead to the formation of collisionless shock waves, where particle acceleration is thought to take…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Martin Lemoine , Guy Pelletier

Fermi's golden rule is of great importance in quantum dynamics. However, in many textbooks on quantum mechanics, its contents and limitations are obscured by the approximations and arguments in the derivation, which are inevitable because…

Quantum Physics · Physics 2016-10-07 J. M. Zhang , Y. Liu

Although there is no relative motion among different points on a rotating disc, each point belongs to a different noninertial frame. This fact, not recognized in previous approaches to the Ehrenfest paradox and related problems, is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 H. Nikolic

We make a model-independent measurement of the moment of inertia of a rotating, expanding strongly-interacting Fermi gas. Quenching of the moment of inertia is observed for energies both below and above the superfluid transition. This shows…

Other Condensed Matter · Physics 2013-05-29 Bason Clancy , Le Luo , John E. Thomas
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