Abstract
We introduce a new approximate block-spin transformation, and applying this method to the massless free field on fractals, we obtain approximate values of the spectral dimension. For fractals of the Sierpiński type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.
| Original language | English |
|---|---|
| Pages (from-to) | 3730-3733 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1985 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
New approximate renormalization method on fractals. / Hattori, Kumiko; Hattori, Tetsuya; Watanabe, Hiroshi.
In: Physical Review A, Vol. 32, No. 6, 1985, p. 3730-3733.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - New approximate renormalization method on fractals
AU - Hattori, Kumiko
AU - Hattori, Tetsuya
AU - Watanabe, Hiroshi
PY - 1985
Y1 - 1985
N2 - We introduce a new approximate block-spin transformation, and applying this method to the massless free field on fractals, we obtain approximate values of the spectral dimension. For fractals of the Sierpiński type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.
AB - We introduce a new approximate block-spin transformation, and applying this method to the massless free field on fractals, we obtain approximate values of the spectral dimension. For fractals of the Sierpiński type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.
UR - http://www.scopus.com/inward/record.url?scp=0000604419&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000604419&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.32.3730
DO - 10.1103/PhysRevA.32.3730
M3 - Article
AN - SCOPUS:0000604419
VL - 32
SP - 3730
EP - 3733
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 6
ER -