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This proceedings paper reports on the theoretical modelling of particle acceleration in magnetised turbulent plasmas. It briefly reviews some recent findings obtained from fully kinetic numerical simulations of large-amplitude, semi to…

High Energy Astrophysical Phenomena · Physics 2025-12-18 M. Lemoine

We study the acceleration of electrons and protons interacting with localized, multiple, small-scale dissipation regions inside an evolving, turbulent active region. The dissipation regions are Unstable Current Sheets (UCS), and in their…

Astrophysics · Physics 2009-11-10 L. Vlahos , H. Isliker , F. Lepreti

We analyze statistically the energization of particles in a large scale environment of strong turbulence that is fragmented into a large number of distributed current filaments. The turbulent environment is generated through strongly…

Plasma Physics · Physics 2017-09-13 Heinz Isliker , Loukas Vlahos , Dana Constantinescu

Hot accretion flows contain collisionless plasmas that are believed to be capable of accelerating particles to very high energies, as a result of turbulence generated by the magnetorotational instability (MRI). We conduct unstratified…

High Energy Astrophysical Phenomena · Physics 2021-07-14 Xiaochen Sun , Xue-Ning Bai

We discuss the phenomenon of energization of relativistic charged particles in three-dimensional (3D) incompressible MHD turbulence and the diffusive properties of the motion of the same particles. We show that the random electric field…

High Energy Astrophysical Phenomena · Physics 2022-04-05 Oreste Pezzi , Pasquale Blasi , William H. Matthaeus

The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approaches, we reproduce, in one dimension, the known results that…

Statistical Mechanics · Physics 2009-10-28 P. L. Krapivsky , S. Redner

The subject of this paper is stochastic acceleration by plasma turbulence, a process akin to the original model proposed by Fermi. We review the relative merits of different acceleration models, in particular the so called first order Fermi…

High Energy Astrophysical Phenomena · Physics 2015-06-05 Vahe Petrosian

The interaction between emerging and pre-existing magnetic fields in the solar atmosphere can trigger several dynamic phenomena, such as eruptions and jets. A key element during this interaction is the formation of large scale current…

Solar and Stellar Astrophysics · Physics 2019-09-11 Heinz Isliker , Vasilis Archontis , Loukas Vlahos

This work investigates the evolution of the distribution of charged particles due to the mechanism of stochastic turbulent acceleration (STA) in presence of small-scale turbulence with a mean magnetic field. STA is usually modelled as a…

High Energy Astrophysical Phenomena · Physics 2023-07-19 Sayan Kundu , Nishant Singh , Bhargav Vaidya

Anderson localization, i.e., destructive quantum interference of multiple-scattering paths, halts transport entirely. Contrarily, time-dependent random forces expedite transport via Fermi acceleration, proposed as a mechanism for…

We study the diffusion of a charged particle in a magnetic field subject to stochastic dichotomous fluctuations. The associated induced electric field gives rise to non-trivial dynamical regimes. In particular, when the mean magnetic field…

Disordered Systems and Neural Networks · Physics 2026-01-21 Gerardo Aquino , Mauro Bologna

This work provides a concrete implementation of E. Fermi's model of particle acceleration in magnetohydrodynamic (MHD) turbulence, connecting the rate of energization to the gradients of the velocity of magnetic field lines, which it…

High Energy Astrophysical Phenomena · Physics 2022-11-30 Martin Lemoine

We describe the theory of Fermi-type acceleration, including first-order Fermi acceleration at a parallel shock front and second-order Fermi acceleration in a test particle limit. Including the theory of the turbulent acceleration and the…

High Energy Astrophysical Phenomena · Physics 2018-07-11 Y. G. Zheng , G. B. Long , C. Y. Yang , J. M. Bai

Shear flows are ubiquitously present in space and astrophysical plasmas. This paper highlights the central idea of the non-thermal acceleration of charged particles in shearing flows and reviews some of the recent developments. Topics…

High Energy Astrophysical Phenomena · Physics 2019-09-17 Frank M. Rieger

We use large hybrid (kinetic protons-fluid electrons) simulations to investigate the transport of energetic particles in self-consistent electromagnetic configurations of collisionless shocks. In previous papers of this series, we showed…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Damiano Caprioli , Anatoly Spitkovsky

Turbulent magnetic fields are to some extent a universal feature in astrophysical phenomena. Charged particles that encounter these turbulence get on average accelerated according to the so-called second-order Fermi process. However, in…

High Energy Astrophysical Phenomena · Physics 2024-11-25 Dominik Walter , Björn Eichmann

We construct a scaling function $f(\psi^{\prime})$ for inclusive electron scattering from nuclei within the Coherent Density Fluctuation Model (CDFM). The latter is a natural extension to finite nuclei of the Relativistic Fermi Gas (RFG)…

Nuclear Theory · Physics 2009-11-10 A. N. Antonov , M. K. Gaidarov , D. N. Kadrev , M. V. Ivanov , E. Moya de Guerra , J. M. Udias

Particle acceleration during magnetic reconnection is a long-standing topic in space, solar and astrophysical plasmas. Recent 3D particle-in-cell simulations of magnetic reconnection show that particles can leave flux ropes due to 3D…

Solar and Stellar Astrophysics · Physics 2022-07-20 Grant Johnson , Patrick Kilian , Fan Guo , Xiaocan Li

Fermi-type shear particle acceleration is a promising mechanism for sustaining ultra-relativistic particles along the kilo-parsec scale jets in Active Galactic Nuclei (AGNs). We explore the possibility of synchrotron-limited electron…

High Energy Astrophysical Phenomena · Physics 2025-07-25 Frank M. Rieger , Peter Duffy

We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

Mathematical Physics · Physics 2015-05-14 Jeremy Clark , Christian Maes