6533b824fe1ef96bd128085f

RESEARCH PRODUCT

Scaled factorial moments and split-bin correlation functions. A thermodynamic model comparison

K. HaglinDavid Seibert

subject

CorrelationPhysicsNuclear and High Energy PhysicsFactorialFractallawIntermittencyStructure (category theory)Scaled correlationFunction (mathematics)Statistical physicsBinlaw.invention

description

Abstract We compare the scaled factorial moments to the recently proposed split-bin correlation functions, using the thermodynamic model for heavy ion collisions that was recently demonstrated to exhibit power-law growth of the scaled factorial moments as a function of bin size. We find that the split-bin correlation functions are superior for experimental use, as they are intensitive to fictitious correlations due to limited resolving power. In addition, after correction for non-flat single-particle distributions, the split-bin correlation functions provide an unambiguous signal for correlations. As a result, they may provide more powerful evidence for new phenomena like fractal structure or intermittency.

https://doi.org/10.1016/0370-2693(91)91673-j