An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai; Liu Lianshou

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1996, Vol. 20> Issue(7) : 625-634

An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai ^, ,
Liu Lianshou

Physics Department, Yanbei Teacher's College, Datong, 0370002 Institute of Particle Physics, Huazhong Normal University, Wuhan, 430070

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.

References

[1]

A.Bialas,R.Peschanski,Nucl.Phys,B273（1986）703.[2]A.Bialas,R.Peschanski,Nucl.Phys,B308（1988）857[3]W.Ochs,Phys.Lett.,B247（1990）101[4]Wu.Yuanfang,Liu Lianshou,Phys.Rev.Lett,70（1993）3197.[5]V.V.Aivazyan et al（NA22）,Phys.Lett.,B258（1991）487.[6]吴元芳，刘连寿，《中国科学》，高能强子-强子碰撞多粒子末态纵向相空间的研究，待发表。[7]林海，张阳，刘连寿，高能物理与核物理，18（1994）858.[8]TASSOCollab.,WBraunschweig et al,Phys.Lett,B231（1989）548.[9]Ph.Brat,R.Peschanski,Phys.Lett.,B253（1991）225.

[1]	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.
[2]	LUO Xu-Dong , PENG Dan-Tao . Quantum Hall Fluid on Fuzzy Two Dimensional Sphere. Chinese Physics C, 2004, 28(10): 1040-1044.
[3]	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.
[4]	CHEN Tao , LI Zhi-Huan , YE Yan-Lin , JIANG Dong-Xing , HUA Hui , LI Xiang-Qing , GE Yu-Cheng , WANG Quan-Jin , PANG Dan-Yang , DI Zhen-Yu . Study of Two-Dimensional Position Sensitive Silicon Detector. Chinese Physics C, 2003, 27(1): 72-75.
[5]	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.
[6]	LIU Yi , DONG Bao-Zhong , WANG Jun , DING Yong-Fan , WU Zhong-Hua , LI Zhi-Hong , LI Kai-Xi , WU Dong . The Establishment of a Synchrotron Radiation Two Dimensional Small Angle X-Ray Scattering Equipment and It′s Application. Chinese Physics C, 2002, 26(1): 87-92.
[7]	WU Chong , WANG ShaoShun . Self-affine Multifractal Analysis in 400GeV/c pp Collisions. Chinese Physics C, 2000, 24(9): 791-796.
[8]	Wang Shaoshun , Wang Zhaomin , Wu Chong . Self-affine Fractality of Multiparticle Productionin pp Collisions at 400 GeV/c. Chinese Physics C, 1998, 22(4): 289-292.
[9]	Lin Hai , Zhang Yang , Liu Lianshou . An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions. Chinese Physics C, 1996, 20(1): 65-75.
[10]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[11]	Wu Yuanfang , Liu Lianshou . Application of Self-Affine Fractality in High Energy Multiparticle Production. Chinese Physics C, 1994, 18(5): 433-438.
[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

Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634.

Lin Hai and Liu Lianshou. An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space[J]. Chinese Physics C, 1996, 20(7): 625-634. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2517)
PDF Downloads(537)
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

An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space

Lin Hai ^,
Liu Lianshou

Corresponding author: Lin Hai,

Physics Department, Yanbei Teacher's College, Datong, 0370002 Institute of Particle Physics, Huazhong Normal University, Wuhan, 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-07-05

Abstract: In this paper, one-dimensional projection of two-dimensional self-affine phase space which has three kinds self-affine fractal are analytically studied. A one-dimensional projection α-model corresponding to different fractal is obtained.Using this model, the one-dimensional 2, 3 moments of normalized probability and correlation moments are calculated analytically. The results are cosistent with the experimental results. The dependence of the moments of normalized probability and correlation moments on fractal forms of phase space is obtained simultaneously.