Critical fluctuations of time-dependent magnetization in a random-field Ising model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2007
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| _version_ | 1866909447188643840 |
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| author | Ohta, Hiroki Sasa, Shin-ichi |
| author_facet | Ohta, Hiroki Sasa, Shin-ichi |
| contents | Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the intensity of fluctuations of time-dependent magnetization, $χ(t)$, attains a maximum value at a time $t=τ$ in a normal phase and that $χ(τ)$ and $τ$ exhibit divergences near the disorder-induced critical point. Furthermore, spin configurations around the time $τ$ are characterized by a length scale, which also exhibits a divergence near the critical point. We estimate the critical exponents that characterize these power-law divergences by using a finite-size scaling method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0706_3629 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Critical fluctuations of time-dependent magnetization in a random-field Ising model Ohta, Hiroki Sasa, Shin-ichi Statistical Mechanics Disordered Systems and Neural Networks Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the intensity of fluctuations of time-dependent magnetization, $χ(t)$, attains a maximum value at a time $t=τ$ in a normal phase and that $χ(τ)$ and $τ$ exhibit divergences near the disorder-induced critical point. Furthermore, spin configurations around the time $τ$ are characterized by a length scale, which also exhibits a divergence near the critical point. We estimate the critical exponents that characterize these power-law divergences by using a finite-size scaling method. |
| title | Critical fluctuations of time-dependent magnetization in a random-field Ising model |
| topic | Statistical Mechanics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/0706.3629 |