dorsal/arxiv
View SchemaGeometrical aspects of isoscaling
| Authors | A. Dávila, C. Escudero, J. A. López, C. O. Dorso |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504037 |
| URL | https://arxiv.org/abs/nucl-th/0504037 |
| DOI | 10.1016/j.physa.2006.07.049 |
| Journal | Physica A374 (2007) 663-668 |
Abstract
The property of isoscaling in nuclear fragmentation is studied using a simple bond percolation model with ``isospin'' added as an extra degree of freedom. It is shown analytically, first, that isoscaling is expected to exist in such a simple model with the only assumption of fair sampling with homogeneous probabilities. Second, numerical percolations of hundreds of thousands of grids of different sizes and with different $N$ to $Z$ ratios confirm this prediction with remarkable agreement. It is thus concluded that isoscaling emerges from the simple assumption of fair sampling with homogeneous probabilities, a requirement which, if put in the nomenclature of the minimum information theory, translates simply into the existence of equiprobable configurations in maximum entropy states.
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"abstract": "The property of isoscaling in nuclear fragmentation is studied using a simple\nbond percolation model with ``isospin\u0027\u0027 added as an extra degree of freedom. It\nis shown analytically, first, that isoscaling is expected to exist in such a\nsimple model with the only assumption of fair sampling with homogeneous\nprobabilities. Second, numerical percolations of hundreds of thousands of grids\nof different sizes and with different $N$ to $Z$ ratios confirm this prediction\nwith remarkable agreement. It is thus concluded that isoscaling emerges from\nthe simple assumption of fair sampling with homogeneous probabilities, a\nrequirement which, if put in the nomenclature of the minimum information\ntheory, translates simply into the existence of equiprobable configurations in\nmaximum entropy states.",
"arxiv_id": "nucl-th/0504037",
"authors": [
"A. D\u00e1vila",
"C. Escudero",
"J. A. L\u00f3pez",
"C. O. Dorso"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physa.2006.07.049",
"journal_ref": "Physica A374 (2007) 663-668",
"title": "Geometrical aspects of isoscaling",
"url": "https://arxiv.org/abs/nucl-th/0504037"
},
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