IPAC2014 - List of Authors (Andrianov, S.N.)

Paper	Title	Page
TUPRI024	Simulation of Space Charge Dynamics on HPC	1609
	N.V. Kulabukhova, S.N. Andrianov St. Petersburg State University, St. Petersburg, Russia A. Bogdanov, A. Degtyarev Saint Petersburg State University, Saint Petersburg, Russia
	To represent the space charge forces of beam a software based on analytical models for space charge distributions was developed. Special algorithm for predictor-corrector method for beam map evaluation scheme including the space charge forces were used. This method allows us to evaluate the map along the reference trajectory and to analyze beam envelope dynamics. In three dimensional models the number of computing resources we use is significant. For this purpose graphical processors are used. This software is a part of Virtual Accelerator concept which is considered as a set of services and tools of modeling beam dynamics in accelerators on distributed computing resources.
DOI •	reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-TUPRI024
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THPRO062	Spin Tune Decoherence in Multipole Fields	3017
	Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin FZJ, Jülich, Germany S.N. Andrianov St. Petersburg State University, St. Petersburg, Russia
	This article analyzes possible limitations in the method to search for the electric dipole moment (EDM) using polarized particles in a storage ring. It is well known that for detection of the electric dipole moment one needs to create such conditions where the particle's spin oscillations can be caused only by the EDM. Really, there are two possible methods for EDM search using a storage ring: resonant spin buildup in a magnetostatic ring and “frozen” spin method in an electrostatic ring with “magic” energy. Both methods have common limitations caused by spin decoherence. In the frame of self consistent theory the reasons of the spin decoherence are classified independently on method and discussed taking into consideration multipole components of external fields, as well as the nonlinearities of RF fields.
DOI •	reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO062
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THPRO063	Spin Tune Parametric Resonance Investigation	3020
	Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin FZJ, Jülich, Germany S.N. Andrianov St. Petersburg State University, St. Petersburg, Russia
	The idea of resonant spin oscillation method was modernized and improved in Forschungszentrum Julich in the proposed experiment at the COSY ring. The resonant method is based on spin tune parameterization using transverse RF magnetic or/and electric field. The spin orientation smearing due to the finite spin coherence time (SCT) plays a crucial in the proposed experiment to search for the electric dipole moment. Our analysis is based on the T-BMT differential equations for spin together with shorten motion equations. Using well developed theory of Mathieu's differential equations we have got simplified analytic solution for prediction of spin behavior. In this paper we have numerically evaluated all effects having fundamental contributions from our point of view.
DOI •	reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO063
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THPRO071	Control of Calculations in the Beam Dynamics using Approximate Invariants	3041
	S.N. Andrianov St. Petersburg State University, St. Petersburg, Russia D. Zyuzin FZJ, Jülich, Germany
	One of the important problems in the theory of dynamical systems is to find corresponding (invariants). In this article we are discussing some problems of computing of invariant functions (invariants) for dynamical systems. These invariants can be used for describing of particle beams systems. The suggested method is constructive and based on the matrix formalism for Lie algebraic tools. We discuss two types of invariants: kinematic and dynamic. All calculations can be realized in symbolic forms, in particular, kinematic invariants are based on the theory of representations of Lie algebras (in particular, using the Casimir’s operators). For the case of nonlinear kinematic invariants we propose a recursive scheme, which can be implemented in symbolic forms using instruments of computer algebra (for example, such packages as Maple or Mathematica). The corresponding expressions for invariants can be used to control the correctness of computational experiments, first of all for long time beam dynamics.
DOI •	reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO071
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Paper

Title

Page

Simulation of Space Charge Dynamics on HPC

1609

N.V. Kulabukhova, S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia
A. Bogdanov, A. Degtyarev
Saint Petersburg State University, Saint Petersburg, Russia

To represent the space charge forces of beam a software based on analytical models for space charge distributions was developed. Special algorithm for predictor-corrector method for beam map evaluation scheme including the space charge forces were used. This method allows us to evaluate the map along the reference trajectory and to analyze beam envelope dynamics. In three dimensional models the number of computing resources we use is significant. For this purpose graphical processors are used. This software is a part of Virtual Accelerator concept which is considered as a set of services and tools of modeling beam dynamics in accelerators on distributed computing resources.

DOI •

reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-TUPRI024

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

THPRO062

Spin Tune Decoherence in Multipole Fields

3017

Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
FZJ, Jülich, Germany
S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia

This article analyzes possible limitations in the method to search for the electric dipole moment (EDM) using polarized particles in a storage ring. It is well known that for detection of the electric dipole moment one needs to create such conditions where the particle's spin oscillations can be caused only by the EDM. Really, there are two possible methods for EDM search using a storage ring: resonant spin buildup in a magnetostatic ring and “frozen” spin method in an electrostatic ring with “magic” energy. Both methods have common limitations caused by spin decoherence. In the frame of self consistent theory the reasons of the spin decoherence are classified independently on method and discussed taking into consideration multipole components of external fields, as well as the nonlinearities of RF fields.

DOI •

reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO062

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

THPRO063

Spin Tune Parametric Resonance Investigation

3020

Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
FZJ, Jülich, Germany
S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia

The idea of resonant spin oscillation method was modernized and improved in Forschungszentrum Julich in the proposed experiment at the COSY ring. The resonant method is based on spin tune parameterization using transverse RF magnetic or/and electric field. The spin orientation smearing due to the finite spin coherence time (SCT) plays a crucial in the proposed experiment to search for the electric dipole moment. Our analysis is based on the T-BMT differential equations for spin together with shorten motion equations. Using well developed theory of Mathieu's differential equations we have got simplified analytic solution for prediction of spin behavior. In this paper we have numerically evaluated all effects having fundamental contributions from our point of view.

DOI •

reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO063

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)

THPRO071

Control of Calculations in the Beam Dynamics using Approximate Invariants

3041

S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia
D. Zyuzin
FZJ, Jülich, Germany

One of the important problems in the theory of dynamical systems is to find corresponding (invariants). In this article we are discussing some problems of computing of invariant functions (invariants) for dynamical systems. These invariants can be used for describing of particle beams systems. The suggested method is constructive and based on the matrix formalism for Lie algebraic tools. We discuss two types of invariants: kinematic and dynamic. All calculations can be realized in symbolic forms, in particular, kinematic invariants are based on the theory of representations of Lie algebras (in particular, using the Casimir’s operators). For the case of nonlinear kinematic invariants we propose a recursive scheme, which can be implemented in symbolic forms using instruments of computer algebra (for example, such packages as Maple or Mathematica). The corresponding expressions for invariants can be used to control the correctness of computational experiments, first of all for long time beam dynamics.

DOI •

reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO071

Export •

reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)