dorsal/arxiv
View SchemaOrder parameter fluctuations in percolation: Application to nuclear multifragmentation
| Authors | Janusz Brzychczyk |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407008 |
| URL | https://arxiv.org/abs/nucl-th/0407008 |
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.
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"abstract": "Order parameter fluctuations (the largest cluster size distribution) are\nstudied within a three-dimensional bond percolation model on small lattices.\nCumulant ratios measuring the fluctuations exhibit distinct features near the\npercolation transition (pseudocritical point), providing a method for its\nidentification. The location of the critical point in the continuous limit can\nbe estimated without variation of the system size. This method is remarkably\ninsensitive to finite-size effects and may be applied even for a very small\nsystem. The possibility of using various measurable quantities for sorting\nevents makes the procedure useful in studying clusterization phenomena, in\nparticular nuclear multifragmentation. Finite-size scaling and delta-scaling\nrelations are examined. The model shows inconsistency with some of the\ndelta-scaling expectations. The role of surface effects is evaluated by\ncomparing results for free and periodic boundary conditions.",
"arxiv_id": "nucl-th/0407008",
"authors": [
"Janusz Brzychczyk"
],
"categories": [
"nucl-th"
],
"title": "Order parameter fluctuations in percolation: Application to nuclear multifragmentation",
"url": "https://arxiv.org/abs/nucl-th/0407008"
},
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