Abstract
Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.
| Original language | English |
|---|---|
| Pages (from-to) | 35-41 |
| Number of pages | 7 |
| Journal | Ferroelectrics |
| Volume | 511 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2017 Apr 26 |
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ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
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Relaxational processes in the one-dimensional diluted Ising model with long-range interactions. / Tomita, Yusuke.
In: Ferroelectrics, Vol. 511, No. 1, 26.04.2017, p. 35-41.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Relaxational processes in the one-dimensional diluted Ising model with long-range interactions
AU - Tomita, Yusuke
PY - 2017/4/26
Y1 - 2017/4/26
N2 - Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.
AB - Relaxational processes in the one-dimensional diluted Ising model with long-range interactions are numerically investigated. When the dilution is relevant, the power-law decay of autocorrelation functions is observed as the droplet theory predicts. The power-law decay is expected to disappear in the high dimensional mean-field ordered phase and in the low dimensional Kosterlitz-Thouless phase. Numerical results, however, show that the power-law decay survives in the mean-field ordered phase, and nontrivial stretched exponential decay is observed at the lower critical dimension.
UR - http://www.scopus.com/inward/record.url?scp=85026629338&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85026629338&partnerID=8YFLogxK
U2 - 10.1080/00150193.2017.1332968
DO - 10.1080/00150193.2017.1332968
M3 - Article
AN - SCOPUS:85026629338
VL - 511
SP - 35
EP - 41
JO - Ferroelectrics
JF - Ferroelectrics
SN - 0015-0193
IS - 1
ER -