Kibble-Zurek dynamics in the anisotropic Ising model of the Si(001) surface
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arXiv
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| Autori principali: | , , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912437011218432 |
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| author | Schaller, Gernot Queisser, Friedemann Katoorani, Seyedeh Parya Brand, Christian Kohlfürst, Christian Freeman, Mark R. Hucht, Alfred Kratzer, Peter Sothmann, Björn Hoegen, Michael Horn-von Schützhold, Ralf |
| author_facet | Schaller, Gernot Queisser, Friedemann Katoorani, Seyedeh Parya Brand, Christian Kohlfürst, Christian Freeman, Mark R. Hucht, Alfred Kratzer, Peter Sothmann, Björn Hoegen, Michael Horn-von Schützhold, Ralf |
| contents | As a simplified description of the non-equilibrium dynamics of buckled dimers on the Si(001) surface, we consider the anisotropic 2D Ising model and study the freezing of spatial correlations during a cooling quench across the critical point. Depending on the cooling rate, we observe a crossover from 1D to 2D behavior. For rapid cooling, we find effectively 1D behavior in the strongly coupled direction, for which we provide an exact analytic solution of the non-equilibrium dynamics. For slower cooling rates, we start to see 2D behavior where our numerical simulations show an approach to the usual Kibble-Zurek scaling in 2D. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18216 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kibble-Zurek dynamics in the anisotropic Ising model of the Si(001) surface Schaller, Gernot Queisser, Friedemann Katoorani, Seyedeh Parya Brand, Christian Kohlfürst, Christian Freeman, Mark R. Hucht, Alfred Kratzer, Peter Sothmann, Björn Hoegen, Michael Horn-von Schützhold, Ralf Statistical Mechanics As a simplified description of the non-equilibrium dynamics of buckled dimers on the Si(001) surface, we consider the anisotropic 2D Ising model and study the freezing of spatial correlations during a cooling quench across the critical point. Depending on the cooling rate, we observe a crossover from 1D to 2D behavior. For rapid cooling, we find effectively 1D behavior in the strongly coupled direction, for which we provide an exact analytic solution of the non-equilibrium dynamics. For slower cooling rates, we start to see 2D behavior where our numerical simulations show an approach to the usual Kibble-Zurek scaling in 2D. |
| title | Kibble-Zurek dynamics in the anisotropic Ising model of the Si(001) surface |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2310.18216 |