Published October 1979
| Version v1
Report
Open
Bond percolation in a square lattice in presence of a 'magnetic field'
Description
A calculation of the bond percolation problem in a square lattice in presence of a magnetic field is presented using the position space renormalization group and cells of dimension b x b, where b runs from 2 up to 5. Due to symmetry, the calculation splits into two parts, one determining the 'thermal' exponent ν and the other, the magnetic exponent eta. For the largest cell in each case, we get ν = 1.355 (b=5) and eta = 0.244 (b=4), in good agreement with series results of Dunn et al. Comments are made on the extrapolation of the results to b = infinity. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Apresenta-se um calculo para o problema de percolacao por ligacoes em uma rede quadrada em presenca de um campo magnetico, utilizando o grupo de renormalizacao no espaco real e celulas de dimensao b x b, onde b varia de 2 ate 5. Devido a simetria, o calculo se divide em duas partes, uma determinando o expoente 'termico' ν e a outra, o expoente magnetico eta. Para a maior celula em cada caso, obtem-se ν = 1.355 (b=5) e eta = 0.244 (b=4), em bom acordo com os resultados obtidos por series de Dunn et al. Comenta-se a extrapolacao dos resultados para b = infinito. (Autor)Files
12639636.pdf
Files
(313.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:e4420d1d0d2bbe26ad1baaaae344b4b4
|
313.5 kB | Preview Download |
Additional details
Publishing Information
- Imprint Pagination
- 17 p.
- Report number
- PUC-tn--22/79
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 12639636
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Resource subtype / Literary indicator
- Numerical Data
- Descriptors DEI
- COMPARATIVE EVALUATIONS; CRYSTAL LATTICES; GROUP THEORY; MAGNETIC FIELDS; PROBABILITY; RENORMALIZATION; TEMPERATURE DEPENDENCE; THEORETICAL DATA
- Descriptors DEC
- CRYSTAL STRUCTURE; DATA; INFORMATION; MATHEMATICS; NUMERICAL DATA