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The mode coupling instability for coasting beams has been discussed in a previous paper using macroparticle tracking simulations from the pyHeadTail code and a simple analytical formula which was proposed as an extension of the ansatz used…

加速器物理 · 物理学 2021-06-11 N. Biancacci , E. Métral , M. Migliorati

In this paper, we study single-bunch instabilities observed in the CERN Super Proton Synchrotron (SPS). According to the linearized Vlasov theory, radial or azimuthal mode-coupling instabilities result from a coupling of bunch-oscillation…

加速器物理 · 物理学 2023-01-25 Ivan Karpov

Mode-mode coupling theory is presented for the resonant pumping via dynamical tunneling processes in a deformed microcavity. From the steady-state solution of the coupled differential equations of chaotic modes and a high-Q regular mode,…

量子物理 · 物理学 2010-05-27 Kyungwon An , Juhee Yang

In the first part of the paper a generalized theoretical approach towards beam coupling impedances and stretched-wire measurements is introduced. Applied to a circular symmetric setup, this approach allows to estimate the systematic…

加速器物理 · 物理学 2015-01-27 Uwe Niedermayer , Lewin Eidam , Oliver Boine-Frankenheim

A hydrodynamical description of coherent instabilities that take place in the longitudinal dynamics of a charged-particle coasting beam in a high-energy accelerating machine is presented. This is done in the framework of the Madelung fluid…

加速器物理 · 物理学 2009-11-11 R. Fedele , D. Anderson , M. Lisak

The normal modes for three to seven particle two-dimensional (2D) dust clusters in a complex plasma are investigated using an N-body simulation. The ion wakefield downstream of each particle is shown to induce coupling between horizontal…

等离子体物理 · 物理学 2014-06-25 Ke Qiao , Jie Kong , Eric Van Oeveren , Lorin S. Matthews , Truell W. Hyde

We point out an error in recent work by Pao, Wu, and Yip [Phys. Rev.B {\bf 73}, 132506 (2006)], that stems from their use of a necessary but not sufficient condition [positive compressibility (magnetic susceptibility) and superfluid…

超导电性 · 物理学 2009-11-11 Daniel E. Sheehy , Leo Radzihovsky

We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in…

光学 · 物理学 2011-09-06 Victor Grigoriev , Fabio Biancalana

After a general introduction, the basic principles of wake-field and beamcoupling- impedance computations are explained. This includes time domain, frequency domain, and methods that do not include excitations by means of a particle beam.…

加速器物理 · 物理学 2018-05-07 Uwe Niedermayer

The recent experimental observation of dissipation-induced structural instability provides new opportunities for exploring the competition mechanism between stationary and nonstationary dynamics [Science 366, 1496 (2019)]. In that study,…

量子物理 · 物理学 2020-07-01 Jingtao Fan , Gang Chen , Suotang Jia

As two counter-rotating beams interact they can give rise to coherent dipole modes. Under the influence of impedance these coherent beam-beam modes can couple to higher order head-tail modes and lead to strong instabilities. A fully…

加速器物理 · 物理学 2014-10-22 S. White , X. Buffat

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

微分几何 · 数学 2018-08-23 Boris Botvinnik

The covariant generalizations of the background dark sector coupling suggested in G. Mangano, G. Miele and V. Pettorino, Mod. Phys. Lett. A 18, 831 (2003) are considered. The evolution of perturbations is studied with detailed attention to…

广义相对论与量子宇宙学 · 物理学 2011-04-22 N. A. Koshelev

Asymptotic couplings by reflection are constructed for a class of non-linear monotone SPDES (stochastic partial differential equations). As applications, the gradient/H\"older estimates as well as the exponential convergence are derived for…

概率论 · 数学 2014-07-15 Feng-Yu Wang

Mode-coupling theory for uniformly sheared underdamped systems with an isothermal condition is presented. As a result of the isothermal condition, it is shown that the shear stress exhibits significant relaxation at the alpha-relaxation…

统计力学 · 物理学 2013-02-27 Koshiro Suzuki , Hisao Hayakawa

Recently, Valiviita et al. (2008) have reported a large-scale early-time instability in coupled dark energy and dark matter models. We take the same form of energy-momentum exchange and specialise to the case when the interaction rate is…

宇宙学与河外天体物理 · 物理学 2009-03-30 Brendan M Jackson , Andy Taylor , Arjun Berera

The pursuit of experimental precision in the $CP$-violating weak phase $\phi_2$ ($\alpha$) is not without its challenges, in part due to the need to combine multiple physical observables from various related decay channels, and therein lies…

高能物理 - 唯象学 · 物理学 2022-05-02 J. Dalseno

We derive a mode-coupling theory for the slow dynamics of fluids confined in disordered porous media represented by spherical particles randomly placed in space. Its equations display the usual nonlinear structure met in this theoretical…

软凝聚态物质 · 物理学 2007-05-23 V. Krakoviack

A general derivation of the beam coupling impedances produced by small discontinuities on the wall of the vacuum chamber of an accelerator is reviewed. A collection of analytical formulas for the impedances of small obstacles is presented.

加速器物理 · 物理学 2007-05-23 Sergey Kurennoy

We develop a new generalized coupling approach to the study of stochastic delay equations with H\"older continuous coefficients, for which analytical PDE-based methods are not available. We prove that such equations possess unique weak…

概率论 · 数学 2018-08-21 Alexei Kulik , Michael Scheutzow
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