Lattices with variable and constant occupation density and q-exponential distribution
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2008
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| _version_ | 1876465797810880512 |
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| author | P. Cavalcante da Silva |
| author_facet | P. Cavalcante da Silva |
| contents | Lattices with variable and constant occupation density and q-exponential distribution P. Cavalcante da Silva G. Corso L.R. da Silva Física, Astronomía y Matemáticas topology gradient lattices stretched exponential exponential distribution In this paper we test the hypothesis that q-exponential distribution fits better on distributions arising from lattices with a heterogeneous topology than a homogeneous topology. We compare two lattices: the first is the typical square lattice with a constant occupation density p (the lattice used in standard percolation theory), and the second is a lattice constructed with a gradient of p. In the homogeneous lattice the occupied number of neighbors of each cell is the same (on average) for the full lattice, otherwise in the p-gradient lattice this number changes along the lattice. In this sense the p-gradient lattice shows a more complex topology than the homogeneous lattice. We fit the q-exponential and the stretched exponential distribution on the cluster size distribution that arises in the lattices. We observe that the q-exponential fits better on the p-gradient lattice than on a constant p lattice. On the other hand, the stretched exponential distribution fits equally well on both lattices. 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57016053010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.54 |
| format | Artículo científico |
| id | redalyc_57016053010 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Lattices with variable and constant occupation density and q-exponential distribution P. Cavalcante da Silva Física, Astronomía y Matemáticas topology gradient lattices stretched exponential exponential distribution Lattices with variable and constant occupation density and q-exponential distribution P. Cavalcante da Silva G. Corso L.R. da Silva Física, Astronomía y Matemáticas topology gradient lattices stretched exponential exponential distribution In this paper we test the hypothesis that q-exponential distribution fits better on distributions arising from lattices with a heterogeneous topology than a homogeneous topology. We compare two lattices: the first is the typical square lattice with a constant occupation density p (the lattice used in standard percolation theory), and the second is a lattice constructed with a gradient of p. In the homogeneous lattice the occupied number of neighbors of each cell is the same (on average) for the full lattice, otherwise in the p-gradient lattice this number changes along the lattice. In this sense the p-gradient lattice shows a more complex topology than the homogeneous lattice. We fit the q-exponential and the stretched exponential distribution on the cluster size distribution that arises in the lattices. We observe that the q-exponential fits better on the p-gradient lattice than on a constant p lattice. On the other hand, the stretched exponential distribution fits equally well on both lattices. 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57016053010 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.6 Vol.54 |
| title | Lattices with variable and constant occupation density and q-exponential distribution |
| topic | Física, Astronomía y Matemáticas topology gradient lattices stretched exponential exponential distribution |
| url | https://www.redalyc.org/articulo.oa?id=57016053010 |