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We discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the manuscript accessible to a wide range of…

Mathematical Physics · Physics 2023-07-18 Ege Coban , Ilmar Gahramanov , Dilara Kosva

Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discrete particles moving in continuum. Although our method is…

Statistical Mechanics · Physics 2009-10-31 Francis J. Alexander , Bruce M. Boghosian , Richard C. Brower , S. Roy Kimura

The nonlinear space-charge effects in a high intensity or high brightness accelerator can have a significant impact on the beam properties through the accelerator. These effects are included in the accelerator design via self-consistent…

Accelerator Physics · Physics 2023-02-22 Ji Qiang

The dynamical systems of identical particles admitting quadratic integrals of motion are classified. The relevant integrals are explicitly constructed and their relation to separation of variables in H-J equation is clarified.

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Y. Brihaye , C. Gonera , P. Kosinski , P. Maslanka , S. Giller

The dynamic process of a laser or particle beam propagating from vacuum into underdense plasma has been investigated theoretically. Our theoretical model combines a Lagrangian fluid model with the classic quasistatic wakefield theory. It is…

Plasma Physics · Physics 2017-11-21 Ronghao Hu , Haiyang Lu , Yinren Shou , Jinqing Yu , Chia-erh Chen , Xueqing Yan

We propose an innovative fast-cycling accelerator complex conceived and designed to exploit at best the properties of accelerated ion beams for hadrontherapy. A cyclinac is composed by a cyclotron, which can be used also for other valuable…

Accelerator beam commissioning is a challenging and exciting period. It is generally the first integrated operation of the many systems in an accelerator and, most importantly, of the beam. First, general preparation is discussed. Then…

Accelerator Physics · Physics 2013-03-07 John Galambos

Standandard Hamiltonian mechanics in its homogeneous formulation is applied to the study of discontinuities representing rapid changes of Hamiltonians. Different formulations of Hamiltonian mechanics are reviewed. An original representation…

Mathematical Physics · Physics 2007-05-23 Wlodzimierz M. Tulczyjew

Glossary I. Background and context of the subject II. Stochastic acceleration III. Resonant scattering IV. Diffusive shock acceleration V. DSA at multiple shocks VI. Applications of DSA VII. Acceleration by parallel electric fields VIII.…

Solar and Stellar Astrophysics · Physics 2009-09-30 D. B. Melrose

Long-range beam-beam effects are a potential limit to the LHC performance with the nominal design parameters, and certain upgrade scenarios under discussion. To mitigate long-range effects, current carrying wires parallel to the beam were…

Accelerator Physics · Physics 2014-10-22 R. Calaga , W. Fischer , N. Milas , G. Robert-Demolaize

Since the initial proposal in 1990s, the method of electron lenses has been successfully developed and employed at the high energy particle colliders, like Tevatron and RHIC. Here we propose a new set of electron multi beam elements…

Accelerator Physics · Physics 2018-01-30 Vladimir Shiltsev

A novel technique to determine invariant curves in nonlinear beam dynamics based on the method of formal series has been developed. It is first shown how the solution of the Hamilton equations of motion describing nonlinear betatron…

Accelerator Physics · Physics 2024-11-25 Stephan I. Tzenov

We propose a continuum description for the axial separation of granular materials in a long rotating drum. The model, operating with two local variables, concentration difference and the dynamic angle of repose, describes both initial…

patt-sol · Physics 2009-10-31 Igor Aranson , Lev S. Tsimring

On the basis of the recently proposed {\it Thermal Wave Model (TWM) for particle beams}, we give a description of the longitudinal charge particle dynamics in circular accelerating machines by taking into account both radiation damping and…

acc-phys · Physics 2015-06-24 R. Fedele , G. Miele , L. Palumbo

We examine the dynamics of electron beams that, in free space, are self-accelerating, in the presence of an additional magnetic field. We focus our attention in the case of Airy beams that follow parabolic trajectories and in generalized…

Optics · Physics 2021-02-24 Michael Goutsoulas , Nikolaos K. Efremidis

In this contribution accelerator solutions for polarized beams and their impact on physics measurements are discussed. Focus are physics requirements for precision polarimetry near the interaction point and their realization with polarized…

Evolution of coherent states is considered for a particle confined to a cylinder moving in a harmonic oscillator potential. Because of the discontinuous changes as time goes by of the phase representing the position of a particle on a…

Quantum Physics · Physics 2013-08-14 K. Kowalski , J. Rembieliński

This paper is a basic introduction to laser physics, especially that relevant to accelerator science. It presents the essential physics of a laser, some of the different types of laser system available, the propagation of laser beams, and…

Accelerator Physics · Physics 2020-08-11 Laura Corner

Th is paper is motivated by the growing importance of better understanding of the phenomena and consequences of high- intensity energetic particle beam interactions with accelerator, generic target , and detector components. It reviews the…

Accelerator Physics · Physics 2016-08-09 N. V. Mokhov , F. Cerutti

We consider methods of charged particle acceleration by means of high-intensity lasers. As an application we discuss a laser booster for heavy ion beams provided, e.g. by the Dubna nuclotron. Simple estimates show that a cascade of crossed…

Accelerator Physics · Physics 2008-12-18 I. A. Egorova , A. V. Filatov , A. V. Prozorkevich , S. A. Smolyansky , D. B. Blaschke , M. Chubaryan