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, first, that with the assumption of fair sampling and with homogeneous probabilities it is possible to solve the problem analytically. 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 even in the simple case of a classical non-interacting system such as two-species percolation under the assumption of fair sampling; if put in the nomenclature of the minimum information theory, isoscaling in percolation appears to require nothing more than the existence of equiprobable configurations in maximum entropy states. © 2006 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Geometrical aspects of isoscaling |
Autor: | Dávila, A.; Escudero, C.R.; López, J.A.; Dorso, C.O. |
Filiación: | Department of Physics, University of Texas at El Paso, El Paso, TX 79968, United States Departamento de Física-Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellon 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Palabras clave: | Isoscaling; Percolation; Symmetry energy; Degrees of freedom (mechanics); Entropy; Mathematical models; Sampling; Entropy states; Isoscaling; Symmetry energy; Statistical methods |
Año: | 2007
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Volumen: | 374
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Número: | 2
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Página de inicio: | 663
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Página de fin: | 668
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DOI: |
http://dx.doi.org/10.1016/j.physa.2006.07.049 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v374_n2_p663_Davila |
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Citas:
---------- APA ----------
Dávila, A., Escudero, C.R., López, J.A. & Dorso, C.O.
(2007)
. Geometrical aspects of isoscaling. Physica A: Statistical Mechanics and its Applications, 374(2), 663-668.
http://dx.doi.org/10.1016/j.physa.2006.07.049---------- CHICAGO ----------
Dávila, A., Escudero, C.R., López, J.A., Dorso, C.O.
"Geometrical aspects of isoscaling"
. Physica A: Statistical Mechanics and its Applications 374, no. 2
(2007) : 663-668.
http://dx.doi.org/10.1016/j.physa.2006.07.049---------- MLA ----------
Dávila, A., Escudero, C.R., López, J.A., Dorso, C.O.
"Geometrical aspects of isoscaling"
. Physica A: Statistical Mechanics and its Applications, vol. 374, no. 2, 2007, pp. 663-668.
http://dx.doi.org/10.1016/j.physa.2006.07.049---------- VANCOUVER ----------
Dávila, A., Escudero, C.R., López, J.A., Dorso, C.O. Geometrical aspects of isoscaling. Phys A Stat Mech Appl. 2007;374(2):663-668.
http://dx.doi.org/10.1016/j.physa.2006.07.049