The Continuous Scale Behaviour of Random Cascading Model

Zhang Yang; Wu Yuanfang; Liu lianshou

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《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

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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.

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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

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

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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.