An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Lin Hai; Zhang Yang; Liu Lianshou

Chinese Physics C> 1996, Vol. 20> Issue(1) : 65-75

An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Institute of particle physics,Hua-Zhong Normal University,Wuhan 430070

Abstract
HTML
Reference
Related

PDF

Abstract：
The self-affine α-model in 2-dimensional phase space is discussed in some detail.The analytic expression of the normalized probability moments,C2N and C3N,are deduced for the self-similar analysis of a self-affine fractal object with Hurst index equal to 0.5.The Levy stability indices for both the self-similar and the self-affine analyses of 2-D self-affine model are calculated. The result of Monte Carlo simulation is shown to be consistent with that of analytic calculation.The recent experimental data from NA22 collaboration are explained qualitatively.

References

[1]

A.Bialas,R.Peschanski,Nucl.Phys,B273（1986）703;B308（1988）857.[2] N.Schmizt,in Proc.X XI Int.Symp.on Multiparticle Dynamics,Wuhan,China,1991,Eds,Wu Yuanfang,Liu Lianshou,World Sientific,Singapore1992,p.377.[3] Wu Yuanfang,Liulianshou,Phys.Rev.lett,70（1993）3197.[4] W.Ochs,Phys.Lett,B247（1990）101[5] Ph.Brax,R.Peschanski,Phys.Lett,B253（1991）225[6] Zhang Yang,Lin Hai,Liu Lianshou,“Levy Stability Analysisof Random Cascade Model”,Commun.Theor.Phys,（tobepublished）.[7] J.P.Bouchaud,A.Georges,Phys Rep,195（1990）127;B.V.Gnedenko,A.N.Kolmogorov,Limit Distributionsfor Sumsof Independent Random Variables（Addison Wesley,Reading,M A,1954）.[8]林海、张阳、刘连寿，高能物理与核物理，18（1994）858.[9] N.Agababyanetal（N A22）,Nijmegen Preprint,H EN-353（1993）.[10]吴元芳、刘连寿，中国科学，24（1994）1299.[11] J.M.Alberty,A.Bialas,Z.Phys,C50（1991）315.

[1]	LUO Xu-Dong , PENG Dan-Tao . Quantum Hall Fluid on Fuzzy Two Dimensional Sphere. Chinese Physics C, 2004, 28(10): 1040-1044.
[2]	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.
[3]	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.
[4]	YIN Jian-Wu , LIU Feng , LIU Lian-Shou . Self-Affine Analysis for the Dynamical Fluctuations inside Jets Produced in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2002, 26(2): 152-157.
[5]	WU Chong , WANG ShaoShun . Self-affine Multifractal Analysis in 400GeV/c pp Collisions. Chinese Physics C, 2000, 24(9): 791-796.
[6]	Fu Jinghua , Wu Yuanfang , Liu Lianshou . Multifractal Dimension and Dynamical Fluctuation Strength in High Energy Multiparticle Final States. Chinese Physics C, 1999, 23(10): 992-997.
[7]	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.
[8]	Liu Lianshou , Wu Yuanfang . On the Choices of Phase Space Variables in the Study of Anomalous Scaling in High Energy Multiparticle Production. Chinese Physics C, 1996, 20(4): 357-362.
[9]	Lin Hai , Liu Lianshou . An Analytical Study of One-Dimensional Projection for the Self-Affine Fractal of Two-Dimensional Phase Space. Chinese Physics C, 1996, 20(7): 625-634.
[10]	Wu Yuanfang , Liu Lianshou . Application of Self-Affine Fractality in High Energy Multiparticle Production. Chinese Physics C, 1994, 18(5): 433-438.
[11]	YU Lian-Zhi , LIU Lian-Shou , CAI Xu . Monte Carlo Investigation of Fractal Structure of Multiparticle Production in High Energy Collision. Chinese Physics C, 1992, 16(7): 633-639.
[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, Zhang Yang and Liu Lianshou. An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions[J]. Chinese Physics C, 1996, 20(1): 65-75.

Lin Hai, Zhang Yang and Liu Lianshou. An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions[J]. Chinese Physics C, 1996, 20(1): 65-75. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2356)
PDF Downloads(584)
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 Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Corresponding author: Lin Hai,

Institute of particle physics,Hua-Zhong Normal University,Wuhan 430070

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1996-01-05

Abstract: The self-affine α-model in 2-dimensional phase space is discussed in some detail.The analytic expression of the normalized probability moments,C2N and C3N,are deduced for the self-similar analysis of a self-affine fractal object with Hurst index equal to 0.5.The Levy stability indices for both the self-similar and the self-affine analyses of 2-D self-affine model are calculated. The result of Monte Carlo simulation is shown to be consistent with that of analytic calculation.The recent experimental data from NA22 collaboration are explained qualitatively.

HTML

Reference (1)

An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article