The Continuous Scale Behaviour of Random Cascading Model

Zhang Yang; Wu Yuanfang; 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(8) : 715-722

The Continuous Scale Behaviour of Random Cascading Model

Institute of Particle Physics, Huazhong Normal University Wuhan, 430070

Abstract
HTML
Reference
Related

PDF

Abstract：
The traditional method of calculating factorial moments with discretely diminishing scale is generalized to the case of continuously varying scale. It is shown that the random cascading model currently used has a "Chain effect" With continuously diminishing scale. Taking the actual processes of experiment into account, a revised model is proposed which can give good scaling property also for continuously varying scale when the volume and location of phase space region in consideration are fluctuating randomly. The fluctuation parameter of phase space region meeting this condition is insensitive to the model parameter α. This kind of fluctuation of phase space is proved via Monte Carlo simulation to have no big influence upon the anomalous scale index.

References

[1]

Bialas,A,Peschanski,R.,Nucl.Phys,B273（1986）703;B308（1988）857[2]关于间歇的实验综述可以见Schmitz,N,Proc.XXI Int.Symp.on Multiparticle Dynamics,（Eds.Wu Yuanfang,Liu Lianshou）World Sientific,Singapore 1992,377及其文中所引文献.[3]Wu Yuanfang,Liu Lianshou,Phys.Rev.lett,70（1993）3197;吴元芳，刘连寿，中国科学，A24（1994）Wu Yuanfang,Zhang Yang,Liu Lianshou,Phys.Rev.,D51（1995）6567[4]吴元芳，张昆实。刘连寿，科学通报，36（1991）21;林海，张阳，刘连寿，高能物理与核物理，18（1994）858.[5]Ochs,W,Phys.Lett,B247（1990）101;Lipa,P,Buschbeck,B,Phys.Lett,B223（1989）465;Zhang Yang,Liu Lianshou,Z.Phys,C67（1995）463.[6]张勇和，刘连寿，张孝泽，中国科学，A24（1994）1076.[7]Kolomogorov,A.N,Docl.Akad.Sci.USSR,30（1941）301;Novikov,E.A.,Stewart,R.W,Izv.Acad.Sci.USSR.Ser.Geofiz,3（1964）408;Mandelbert,B.,J.Fluid.Mech.,62（1974）331[8]Bialas,A,Dazdzicki,M.,Phys.Lett,B252（1990）483.

[1]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Empiric Formula of x Rescaling Parameters in the Extended x Rescaling Model. Chinese Physics C, 2002, 26(8): 831-835.
[2]	LI Cheng-Bo , YUAN Jian , LIN Er-Kang , ZHANG Pei-Hua , MENG Qiu-Ying . Monte-Carlo Simulation and Analysis of the Spectrum of p+¹¹B Three-Body Sequential Decay. Chinese Physics C, 2002, 26(12): 1223-1227.
[3]	GAO Yong-Hua , HE Ming-Zhong , DUAN Chun-Gui . Q²-Rescaling Parameters’Empiric Formula of the Double Q²-Rescaling Model. Chinese Physics C, 2001, 25(6): 533-537.
[4]	Sa Benhao , Tai An , Wang Hui , Liu Fenghe . J/ψ Suppression in a Hadron and String Cascade Model. Chinese Physics C, 1999, 23(5): 489-495.
[5]	Duan Chungui , He Zhenmin , Lin Zhongjin , Li Guanglie . Nuclear Gluon Distributiom in the Extended x-Rescaling Model. Chinese Physics C, 1997, 21(5): 433-437.
[6]	Yao Xiaoxia , He Zhenmin , Duan Chungui , Li Guanglie , Peng Hongan . Improved Q²-Rescaling Model and the Nuclear Effect of Parton Distribution Functions. Chinese Physics C, 1997, 21(6): 548-553.
[7]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[8]	LAI Xiao-Ping , FANG Hai-Ping , XIE Qu-Bing . Generation of Random Samples of Momentum Fractions of Quarks in the Stochastic Combination Model. Chinese Physics C, 1991, 15(12): 1069-1075.
[9]	WU Yuan-Fang , LIU Lian-Shou . Conditional Entropy and Mutual Information in Random Cascading Processes. Chinese Physics C, 1991, 15(8): 711-714.
[10]	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.
[11]	LU Gong-Ru , WAN Ling-De . A REALISTIK MODEL WITH LOW METACOLOR SCALE SATISFYING COMPLEMENTARITY. Chinese Physics C, 1990, 14(6): 509-514.
[12]	ZHOU Jing-Chen , CAI Xu . BREAK DOWN OF UNIVERSALITY OF KNO SCALED MULTIPLICITY DISTRIBUTIONS IN HIGH ENERGY HADRON-NUCLEUS COLLISIONS AND MULTISOURCE MODEL. Chinese Physics C, 1989, 13(10): 896-899.
[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]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[15]	CAO Jian-Min , WANG Shun-Jin . SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION. Chinese Physics C, 1988, 12(4): 557-567.
[16]	HUANG Wu-Qun , CHEN Tian-Lun , SHEN Qin-Wan , ZHONG Chao-Wu . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON RANDOM TRIANGLE LATTICE. Chinese Physics C, 1987, 11(4): 563-566.
[17]	WANG Shun-Jin , CAO Jian-Min , XU Gong-Ou . CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL. Chinese Physics C, 1987, 11(1): 111-119.
[18]	WANG Xing-Min , SONG Xiao-Tong , YIN Peng-Cheng . THE REGGE-CORRECTION AND THE SCALING VIOLATION OF HADRION STRUCTURE FUNCTIONS IN BAG MODEL. Chinese Physics C, 1983, 7(2): 160-169.
[19]	HU JI-MIN . A CONTINUOUS MEDIUM MODEL OF ATOMIC NUCLEI. Chinese Physics C, 1981, 5(2): 244-254.
[20]	WANG ZHENG-ZHI , MO WEN-CHUAN . KNO SCALING AND SCALING IN THE MEAN. Chinese Physics C, 1979, 3(5): 523-529.

Access

Get Citation

Zhang Yang, Wu Yuanfang and Liu lianshou. The Continuous Scale Behaviour of Random Cascading Model[J]. Chinese Physics C, 1996, 20(8): 715-722.

Zhang Yang, Wu Yuanfang and Liu lianshou. The Continuous Scale Behaviour of Random Cascading Model[J]. Chinese Physics C, 1996, 20(8): 715-722. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2496)
PDF Downloads(589)
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

The Continuous Scale Behaviour of Random Cascading Model

Corresponding author: Zhang Yang,

Institute of Particle Physics, Huazhong Normal University Wuhan, 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-08-05

Abstract: The traditional method of calculating factorial moments with discretely diminishing scale is generalized to the case of continuously varying scale. It is shown that the random cascading model currently used has a "Chain effect" With continuously diminishing scale. Taking the actual processes of experiment into account, a revised model is proposed which can give good scaling property also for continuously varying scale when the volume and location of phase space region in consideration are fluctuating randomly. The fluctuation parameter of phase space region meeting this condition is insensitive to the model parameter α. This kind of fluctuation of phase space is proved via Monte Carlo simulation to have no big influence upon the anomalous scale index.