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We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model.…

Statistical Mechanics · Physics 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio , Emmanuel Zabey

Diffusive shock acceleration at collisionless shocks is thought to be the source of many of the energetic particles observed in space. Large-scale spatial variations of the magnetic field has been shown to be important in understanding…

High Energy Astrophysical Phenomena · Physics 2015-05-20 F. Guo , J. R. Jokipii , J. Kota

Charge migration is a ubiquitous phenomenon with profound implications throughout many areas of chemistry, physics, biology and materials science. The long-term vision of designing functional materials with tailored molecular scale…

Materials Science · Physics 2012-01-24 C. Gollub , S. Avdoshenko , R. Gutierrez , Y. Berlin , G. Cuniberti

Plasma-based accelerators are beginning to employ relativistic beams with unprecedented charge and ultrashort durations. These dense driver beams can drive wakes even in high-density plasmas ($\gtrsim10^{19}$ cm$^{-3}$), where betatron…

Accelerator Physics · Physics 2025-10-29 Pablo J. Bilbao , Thales Silva , Luis O. Silva

The dynamics of charged particle beams interacting with laser beams and material targets in storage rings is presented. Formulas for the radiative damping, quantum excitation and equilibrium parameters of ion and electron beams determined…

Classical Physics · Physics 2007-05-23 E. G. Bessonov

In electron cooling, the space charge (SC) is an important effect, which will affect the e-beam velocity distribution and thus the cooling performance. In this paper, we analyse several important effects that due to the space charge field,…

Accelerator Physics · Physics 2024-02-29 He Zhao

During low-energy operations below the regular injection energy in the Relativistic Heavy Ion Collider (RHIC), significant beam lifetime reductions due to the beam-beam interaction in conjunction with large space charge tune shifts have…

Accelerator Physics · Physics 2014-10-16 C. Montag , A. Fedotov

The theory of transport of charged particles in cosmic magnetic fields is at the very center of the investigation of non-thermal phenomena in the universe, ranging from our local neighborhood to supernovae, clusters of galaxies or distant…

High Energy Astrophysical Phenomena · Physics 2023-07-24 Pasquale Blasi

The subject of this introductory course is transverse dynamics of charged particle beams in linear approximation. Starting with a discussion of the most important types of magnets and defining their multipole strengths, the linearized…

Accelerator Physics · Physics 2021-12-09 Wolfgang Hillert

Massive compact objects soften binaries. This process has been used for decades to constrain the population of such objects, particularly as a component of dark matter (DM). The effects of light compact objects, such as those in the…

High Energy Physics - Phenomenology · Physics 2026-02-23 Badal Bhalla , Benjamin V. Lehmann , Kuver Sinha , Tao Xu

In this paper we discuss design considerations and beam dynamics challenges associated with laser-driven plasma-based accelerators as applied to multi-TeV-scale linear colliders. Plasma accelerators provide ultra-high gradients and…

Accelerator Physics · Physics 2022-05-18 C. B. Schroeder , C. Benedetti , S. S. Bulanov , D. Terzani , E. Esarey , C. G. R. Geddes

We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field in a two-dimensional domain. We provide conditions on the magnetic field in a neighbourhood of the boundary to ensure the confinement of the…

Dynamical Systems · Mathematics 2021-04-02 Tho Nguyen Duc , Nicolas Raymond , San Vu Ngoc

Microscopic, or short-wavelength, instabilities are known for drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes for such…

Accelerator Physics · Physics 2023-06-14 Vladimir Litvinenko , Yichao Jing , Jun Ma , Irina Petrushina , Kai Shih , Gang Wang

The effects of the propagation of particles which have a finite life-time and an according width in their mass spectrum are discussed in the context of transport descriptions. In the first part the coupling of soft photon modes to a source…

Nuclear Theory · Physics 2017-08-23 Yu. B. Ivanov , J. Knoll , H. Van Hees , D. N. Voskresensky

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

The evolution of beam phase space in ionization-induced injection into plasma wakefields is studied using theory and particle-in-cell (PIC) simulations. The injection process causes special longitudinal and transverse phase mixing leading…

Accelerator Physics · Physics 2015-06-16 X. L. Xu , J. F. Hua , F. Li , C. J. Zhang , L. X. Yan , Y. C. Du , W. H. Huang , H. B. Chen , C. X. Tang , W. Lu , P. Yu , W. An , W. B. Mori , C. Joshi

In general, optimizing chromaticity and transverse feedback parameters is important in suppressing beam instabilities for stable operation in high-intensity proton machines. Meanwhile, space charge effects impact the intrabunch motion of…

Accelerator Physics · Physics 2025-11-07 Nobuyuki Yoshimura , Takeshi Toyama , Yoshihiro Shobuda

Beam loading is the phenomenon which limits the charge and the beam quality in plasma based accelerators. An experimental study conducted with a laser-plasma accelerator is presented. Beam loading manifests itself through the decrease of…

Plasma Physics · Physics 2010-05-25 C. Rechatin , X. Davoine , A. Lifschitz , A. Ben Ismail , J. Lim , E. Lefebvre , J. Faure , V. Malka

As charged particle bunches become shorter and more intense, the effects of nonlinear intra-bunch collective interactions such as space charge forces and bunch-to-bunch influences such as wakefields and coherent synchrotron radiation also…

Accelerator Physics · Physics 2022-03-23 Alexander Scheinker , Spencer Gessner

We study the dynamics of fast two-beam collisions in linear optical media with weak cubic loss in spatial dimension higher than 1. For this purpose, we extend the perturbation theory that was developed for analyzing two-pulse collisions in…

Optics · Physics 2022-02-10 Avner Peleg , Toan T. Huynh , Quan M. Nguyen