2016/03/15 by Gopa Bhoumik, Bhoumik, Gopa, Argha Deb +5
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Financial Risk and Volatility Modeling #High Energy Physics - Experiment (hep-ex) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1603.04663
openalex publication_date 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have studied the multifractality of pion emission process in 16O-AgBr\ninteractions at 2.1AGeV & 60AGeV, 12CAgBr &24Mg-AgBr interactions at 4.5AGeV\nand 32S-AgBr interactions at 200AGeV using Multifractal Detrended Fluctuation\nAnalysis (MFDFA) method which is capable of extracting the actual multifractal\nproperty filtering out the average trend of fluctuation. The analysis revels\nthat the pseudo rapidity distribution of the shower particles is multifractal\nin nature for all the interactions i.e. pion production mechanism has in built\nmulti-scale self-similarity property. We have employed MFDFA method for\nrandomly generated events for 32S-AgBr interactions at 200 AGeV. Comparison of\nexpt. results with those obtained from randomly generated data set reveals that\nthe source of multifractality in our data is the presence of long range\ncorrelation. Comparing the results obtained from different interactions, it may\nbe concluded that strength of multifractality decreases with projectile mass\nfor same projectile energy and for a particular projectile it increases with\nenergy. The values of ordinary Hurst exponent suggest that there is long range\ncorrelation present in our data for all the interactions.\n