2004/07/02 by J. Brzychczyk, Janusz Brzychczyk, Brzychczyk, Janusz
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0407008
9 pages, 12 figures, submitted to Phys. Rev. C
openalex publication_date 2004/07/02 · arxiv created 2005/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Order parameter fluctuations (the largest cluster size distribution) are studied within a three-dimensional bond percolation model on small lattices. Cumulant ratios measuring the fluctuations exhibit distinct features near the percolation transition (pseudocritical point), providing a method for its identification. The location of the critical point in the continuous limit can be estimated without variation of the system size. This method is remarkably insensitive to finite-size effects and may be applied even for a very small system. The possibility of using various measurable quantities for sorting events makes the procedure useful in studying clusterization phenomena, in particular nuclear multifragmentation. Finite-size scaling and delta-scaling relations are examined. The model shows inconsistency with some of the delta-scaling expectations. The role of surface effects is evaluated by comparing results for free and periodic boundary conditions.