Order parameter fluctuations in percolation: Application to nuclear multifragmentation
Abstract
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.
Cite
@article{arxiv.nucl-th/0407008,
title = {Order parameter fluctuations in percolation: Application to nuclear multifragmentation},
author = {Janusz Brzychczyk},
journal= {arXiv preprint arXiv:nucl-th/0407008},
year = {2007}
}
Comments
9 pages, 12 figures, submitted to Phys. Rev. C