Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

LUO Shi-Yu; SHAO Ming-Zhu; HU Xi-Duo

Chinese Physics C> 2004, Vol. 28> Issue(1) : 96-99

Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

Dongguan University of Technology,Guangdong 523106,China

Abstract
HTML
Reference
Related

PDF

Abstract：
In the paper an average field idea and a single particle model have been introduced, and the motion behaviours in small-scale of particles have been disscussed for 2 Dimension crystallization beams in storage rings. It is shown that a particle orbit is the spiral line moved along z axis and wended around z axis, the discountinuity in the azimuthal distribution and the structure phase transition of crystallization beams have been derived by the minimun-energy principle.

References

[1]

.Rahman A,Schiff er J P.Phys.Rev.Lett.,1986,57: 11332.Habs D et al.MPI 1987..v3,MPI,Heidelberg,19873.Hofmann I,LUO S Y.GSI Report,89- 1,19894.LUO S Y,Hofmann I.GSI Report,89- 21,19895.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1189-1190(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1189—1190)6.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1200-1206(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1200—1206)7.SHAO M Z,Hofmann I,LUO S Y.Acta Physica Sinica,1990,39(8) :1207-1213(in Chinese)(邵明珠,HofmannI,罗诗裕.物理学报,1990,39(8):1207—1213)8.LUO S Y,LIU Z R,SHAO M Z.Acta Physica Sinica,1987,36( 5) :547(in Chinese)(罗诗裕,刘曾荣,邵明珠.物理学报,1987,36(5):547)9.LUO S Y,SHAO M Z,LIU Z R,et al.Act a Physica Sinica,1988,37(8) : 1394(in Chinese)(罗诗裕,邵明珠,刘曾荣等.物理学报,1988,37(8):1394)10.SHAO M Z.Act a Physica Sinica,1992,41(11) : 1825(in Chinese)(罗诗裕,邵明珠,刘曾荣等.物理学报,1988,37(8):1394)11.LUO S Y,SHAO M Z.Acta Mathemat ica Scient ia,1993,13(1) : 391(in Chinese)(罗诗裕,邵明珠.数学物理学报,1993,13(1):391)12.Schemoller T,et al.Nucl.Inst r.andMeth.,2000,A441: 50-53

[1]	YANG Jian-Jun , ZHANG Tian-Jue , AN Shi-Zhong , JIA Xian-Lu , LIN Yu-Zheng . A Two-Dimension Beam Dynamics Simulation Code Base on PIC Method. Chinese Physics C, 2007, 31(8): 769-773.
[2]	LU He-Lin , WANG Shun-Jin . High-Harmonic Generation by Intense Laser Fields Interacting with Atoms in Three Dimensional and Two-Level Hydrogen Atom Model. Chinese Physics C, 2006, 30(11): 1137-1140.
[3]	YU Neng-Jie , TANG Chuan-Xiang , ZHENG Shu-Xin , LI Quan-Feng , GONG Ke . 2-D Beam Profile Measurement Based on CT Algorithm with Rotating Multi-Wire Target. Chinese Physics C, 2005, 29(4): 408-412.
[4]	LUO Xu-Dong , PENG Dan-Tao . Quantum Hall Fluid on Fuzzy Two Dimensional Sphere. Chinese Physics C, 2004, 28(10): 1040-1044.
[5]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[6]	GU An-Jia , ZHAO Kui , DING Yuan-Tao , ZHANG Bao-Cheng , QUAN Sheng-Wen , CHEN Jia-Er . Beam 2-D Phase-Space Measurement with CT and Cerenkov Radiation “Double Imaging Method”. Chinese Physics C, 2003, 27(5): 455-459.
[7]	YAN Jun , TAO Bi-You . A Electric Sine-Gordon Soliton Solution in Two-Dimensional Dilaton Gravity Model. Chinese Physics C, 2003, 27(9): 767-769.
[8]	SONG Jian-Jun , LI Xi-Guo . Trace Formula and Periodic Orbits Quantization for Two-Dimensional Integrable System. Chinese Physics C, 2001, 25(10): 958-963.
[9]	Zheng Taiyu , Li Changsong . Internal Massive Fermion Loop Contribution to Casimir Force in Two-Dimensions. Chinese Physics C, 1996, 20(3): 211-215.
[10]	Zhou Huanqiang , Guan Xiwen , He Jingsong . A Two-Parameter Deformed Two-Dimensional Interacting Boson Model With U_qp(U₃)U_qp(U₂)U_qp(SO₂) Symmetry. Chinese Physics C, 1996, 20(1): 38-44.
[11]	Zhang Jun , Yang Guangcan , Yan Hong . 2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model. Chinese Physics C, 1995, 19(12): 1084-1089.
[12]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[13]	CHEN Tian-Lun , HUANG Wu-Qun , JIN Ke , SUO Cun-Chuan . β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[14]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[15]	HUANG Wu-Qun , CHEN Tian-Lun , ZHONG Chao-Wu , LI Zhi-Bing . A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE. Chinese Physics C, 1987, 11(1): 38-43.
[16]	LIU Mao-San , SHI Cai-Tu , CHEN Ren-Huai . MAGNETIC FIELD ANALYSIS OF PERMANENT MAGNET UNDULATOR. Chinese Physics C, 1984, 8(1): 59-68.
[17]	LIU MAO-SAN , WU WEN-TAI , LI SHU-SHEN , LIU YU-CHENG , SHI CAI-TU , ZHOU JIE-MIN . ANALYSIS OF TWO DIMENSIONAL FIELDS OF PERMANENT MAGNETIC MULTIPIECE LINEAR ARRAY SYSTEM. Chinese Physics C, 1982, 6(6): 764-767.
[18]	LIU MAO-SAN , WU WEN-TAI , LI SHU-ZHEN , LIU YU-CHENG , SHI CAI-TU , ZHOU JIE-MIN . PLANAR MULTIPOLE FIELD OF A PERMANENT MAGNET SYSTEM WITH QUASI-SEGMENTED AND TRAPEZOIDAL RING STRUCTURE. Chinese Physics C, 1982, 6(2): 251-254.
[19]	LIU MAO-SAN , WU WEN-TA , I LI SHU-ZHEN , CHEN REN-HUAI . DISTRIBUTION OF 2-DIMENSIONAL FIELD OF PERMANENT MAGNETIC PLANE HEAD QUADRUPOLE AND ITS GEOMETRIC PARAMETER SELECTION. Chinese Physics C, 1981, 5(3): 381-385.
[20]	Liu Mao-san , Chen Ren-huai , Wu Wen-tai , Li Shu-zhen . PLANAR MULTIPOLE FIELD OF A PERMANENT MAGNET SYSTEM WITH MULTI-SEGMENTED RING STRUCTURE. Chinese Physics C, 1980, 4(6): 774-777.

Access

Get Citation

LUO Shi-Yu, SHAO Ming-Zhu and HU Xi-Duo. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)[J]. Chinese Physics C, 2004, 28(1): 96-99.

LUO Shi-Yu, SHAO Ming-Zhu and HU Xi-Duo. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)[J]. Chinese Physics C, 2004, 28(1): 96-99. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-05-18
Revised: 1900-01-01

Article Metric

Article Views(3827)
PDF Downloads(662)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

Corresponding author: LUO Shi-Yu,

Dongguan University of Technology,Guangdong 523106,China

Received Date: 2003-05-18

Accepted Date: 1900-01-01

Available Online: 2004-01-05

Abstract: In the paper an average field idea and a single particle model have been introduced, and the motion behaviours in small-scale of particles have been disscussed for 2 Dimension crystallization beams in storage rings. It is shown that a particle orbit is the spiral line moved along z axis and wended around z axis, the discountinuity in the azimuthal distribution and the structure phase transition of crystallization beams have been derived by the minimun-energy principle.

HTML

Reference (1)

Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ)

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article