Random cascading models and the link between long-range and short-range interactions in multiparticle production |
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| Institution: | 1. School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China;2. Institute of Data Science and Technology, Shandong Normal University, Jinan 250014, China;3. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;4. Institute of Life Sciences at Shandong Normal University, Jinan 250014, China;5. Key Laboratory of Intelligent Information Processing at Shandong Normal University, Jinan 250014, China |
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| Abstract: | A general recursive relation for the total multiplicity distribution is derived from a random cascading model with intermittency. The conditions for the existence of a fixed point solution are formulated. An explicit example of such a solution, corresponding to the negative binomial multiplicity distribution is presented. The intimate connection between random cascading models and models of disordered systems is explained and explored. Long-distance properties of the interaction are related to the spectrum of states describing the interaction at short range. |
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