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| Médium: | Preprint |
| Vydáno: |
2024
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| On-line přístup: | https://arxiv.org/abs/2407.11708 |
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| _version_ | 1866929465195495424 |
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| author | Chen, Yashan Zhong, Wei |
| author_facet | Chen, Yashan Zhong, Wei |
| contents | In this paper, we investigate the dynamics of the two-dimensional Ising model with stochastic resetting, utilizing a constant resetting rate procedure with zero-strength initial magnetization. Our results reveal the presence of a characteristic rate $r_c \sim L^{-z}$, where $L$ represents the system size and $z$ denotes the dynamical exponent. Below $r_c$, both the equilibrium and dynamical properties remain unchanged. At the same time, for $r > r_c$, the resetting process induces a transition in the probability distribution of the magnetization from a double-peak distribution to a three-peak distribution, ultimately culminating in a single-peak exponential decay. Besides, we also find that at the critical points, as $r$ increases, the diffusion of the magnetization changes from anomalous to normal, and the correlation time shifts from being dependent on $L$ to being $r$-dependent only. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crossover from Anomalous to Normal Diffusion: Ising Model with Stochastic Resetting Chen, Yashan Zhong, Wei Statistical Mechanics In this paper, we investigate the dynamics of the two-dimensional Ising model with stochastic resetting, utilizing a constant resetting rate procedure with zero-strength initial magnetization. Our results reveal the presence of a characteristic rate $r_c \sim L^{-z}$, where $L$ represents the system size and $z$ denotes the dynamical exponent. Below $r_c$, both the equilibrium and dynamical properties remain unchanged. At the same time, for $r > r_c$, the resetting process induces a transition in the probability distribution of the magnetization from a double-peak distribution to a three-peak distribution, ultimately culminating in a single-peak exponential decay. Besides, we also find that at the critical points, as $r$ increases, the diffusion of the magnetization changes from anomalous to normal, and the correlation time shifts from being dependent on $L$ to being $r$-dependent only. |
| title | Crossover from Anomalous to Normal Diffusion: Ising Model with Stochastic Resetting |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.11708 |