Geometrical aspects of isoscaling

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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 anal...

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Autor principal: Dorso, Claudio Oscar
Publicado: 2007
Materias:
Isoscaling
Percolation
Symmetry energy
Degrees of freedom (mechanics)
Entropy
Mathematical models
Sampling
Entropy states
Statistical methods
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v374_n2_p663_Davila
http://hdl.handle.net/20.500.12110/paper_03784371_v374_n2_p663_Davila
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03784371_v374_n2_p663_Davila
record_format dspace
spelling paper:paper_03784371_v374_n2_p663_Davila2023-06-08T15:40:07Z Geometrical aspects of isoscaling Dorso, Claudio Oscar Isoscaling Percolation Symmetry energy Degrees of freedom (mechanics) Entropy Mathematical models Sampling Entropy states Isoscaling Symmetry energy Statistical methods 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. Fil:Dorso, C.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v374_n2_p663_Davila http://hdl.handle.net/20.500.12110/paper_03784371_v374_n2_p663_Davila
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Isoscaling
Percolation
Symmetry energy
Degrees of freedom (mechanics)
Entropy
Mathematical models
Sampling
Entropy states
Isoscaling
Symmetry energy
Statistical methods
spellingShingle Isoscaling
Percolation
Symmetry energy
Degrees of freedom (mechanics)
Entropy
Mathematical models
Sampling
Entropy states
Isoscaling
Symmetry energy
Statistical methods
Dorso, Claudio Oscar
Geometrical aspects of isoscaling
topic_facet Isoscaling
Percolation
Symmetry energy
Degrees of freedom (mechanics)
Entropy
Mathematical models
Sampling
Entropy states
Isoscaling
Symmetry energy
Statistical methods
description 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.
author Dorso, Claudio Oscar
author_facet Dorso, Claudio Oscar
author_sort Dorso, Claudio Oscar
title Geometrical aspects of isoscaling
title_short Geometrical aspects of isoscaling
title_full Geometrical aspects of isoscaling
title_fullStr Geometrical aspects of isoscaling
title_full_unstemmed Geometrical aspects of isoscaling
title_sort geometrical aspects of isoscaling
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v374_n2_p663_Davila
http://hdl.handle.net/20.500.12110/paper_03784371_v374_n2_p663_Davila
work_keys_str_mv AT dorsoclaudiooscar geometricalaspectsofisoscaling
_version_ 1768545602412478464

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