2born (2born) wrote,
2born
2born

О динамике спина в накопительном кольце на основе уравнения Блоха

Интересно, насколько такой подход адекватен...

Re-evaluation of Spin-Orbit Dynamics of Polarized e+ e- Beams in High Energy Circular Accelerators and Storage Rings: an approach based on a Bloch equation: https://arxiv.org/abs/2101.08955
Klaus Heinemann, Daniel Appelö, Desmond P. Barber, Oleksii Beznosov, James A. Ellison
We give an overview of our current/future analytical and numerical work on the spin polarization in high-energy electron storage rings. Our goal is to study the possibility of polarization for the CEPC and FCC-ee. Our work is based on the so-called Bloch equation for the polarization density introduced by Derbenev and Kondratenko in 1975. We also give an outline of the standard approach, the latter being based on the Derbenev-Kondratenko formulas.
Comments: arXiv admin note: text overlap with arXiv:2007.14613

The Bloch equation for spin dynamics in electron storage rings: computational and theoretical aspects: https://arxiv.org/abs/2007.14613
Klaus Heinemann, Daniel Appelö, Desmond P. Barber, Oleksii Beznosov, James A. Ellison
In this paper we describe our work on spin polarization in high-energy electron storage rings which we base on the Bloch equation for the polarization density and which aims towards the e-/e+ option of the proposed Future Circular Collider (FCC-ee) and the proposed Circular Electron Positron Collider (CEPC). The Bloch equation takes into account non spin-flip and spin-flip effects due to synchrotron radiation including the spin-diffusion effects and the Sokolov-Ternov effect with its Baier-Katkov generalization as well as the kinetic-polarization effect. This mathematical model is an alternative to the standard mathematical model based on the Derbenev-Kondratenko formulas. For our numerical and analytical studies of the Bloch equation we develop an approximation to the latter to obtain an effective Bloch equation. This is accomplished by finding a third mathematical model based on a system of stochastic differential equations underlying the Bloch equation and by approximating that system via the method of averaging from perturbative ODE theory. We also give an overview of our algorithm for numerically integrating the effective Bloch equation. This discretizes the phase space using spectral methods and discretizes time via the additive Runge-Kutta method which is a high-order semi-implicit method. We also discuss the relevance of the third mathematical model for spin tracking.
Tags: КЭД, КлЭД, Мегаучебник или Что я читал и похвалил, медицинская физика, разгребая arXiv'ы, техника
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  • Сегодняшний улов

    Желну не видел, видел только следы его работы, все увеличивающиеся:)) Вот только один пример: DSC_3662_работа_желны_corr.jpg © qedqed.iMGSRC.RU…

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    DSC_3158_супер_corr2.jpg © qedqed.iMGSRC.RU

  • Пятничный улов

    был невелик: я сфоткал одного лишь дубоноса, и очень издалека. Но поскольку их у меня ужа два года не было, а я по ним безумно соскучился, опубликую…

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