On the growing length scale in a replica-coupled glassforming liquid
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916117156462592 |
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| author | Küchler, Niklas Horbach, Jürgen |
| author_facet | Küchler, Niklas Horbach, Jürgen |
| contents | Computer simulations are used to study a three-dimensional polydisperse model glassformer in a replica-coupling setup where an attractive field $\propto - \varepsilon Q$ of strength $\varepsilon$ can adjust the similarity of the system to a fixed reference configuration with the overlap parameter $Q$. The polydispersity in the model enables the efficient use of swap Monte Carlo in combination with molecular-dynamics simulation from which we obtain fully equilibrated liquid configurations at very low temperature, i.e., far below the critical temperature of mode-coupling theory, $T_{\rm MCT}$. When the $\varepsilon$-field is switched on, the fast dynamics with swaps allow relaxation to the stationary state at temperatures below $T_{\rm MCT}$. In the stationary state, the overlap $Q$ has a finite value that increases with increasing $\varepsilon$. For a given temperature $T$, fluctuations of the overlap around the average value become maximal at a critical field strength $\varepsilon^\star(T)$. With decreasing $T$ along this $\varepsilon^\star(T)$-line, overlap fluctuations increase and a transition from a unimodal overlap distribution to a bimodal shape occurs. We give evidence that these bimodal distributions are not due to first-order phase transitions. However, they reflect finite-size effects due to a rapidly growing length scale with decreasing temperature. We discuss the significance of this length scale for the understanding of the glass transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04205 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the growing length scale in a replica-coupled glassforming liquid Küchler, Niklas Horbach, Jürgen Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Data Analysis, Statistics and Probability Computer simulations are used to study a three-dimensional polydisperse model glassformer in a replica-coupling setup where an attractive field $\propto - \varepsilon Q$ of strength $\varepsilon$ can adjust the similarity of the system to a fixed reference configuration with the overlap parameter $Q$. The polydispersity in the model enables the efficient use of swap Monte Carlo in combination with molecular-dynamics simulation from which we obtain fully equilibrated liquid configurations at very low temperature, i.e., far below the critical temperature of mode-coupling theory, $T_{\rm MCT}$. When the $\varepsilon$-field is switched on, the fast dynamics with swaps allow relaxation to the stationary state at temperatures below $T_{\rm MCT}$. In the stationary state, the overlap $Q$ has a finite value that increases with increasing $\varepsilon$. For a given temperature $T$, fluctuations of the overlap around the average value become maximal at a critical field strength $\varepsilon^\star(T)$. With decreasing $T$ along this $\varepsilon^\star(T)$-line, overlap fluctuations increase and a transition from a unimodal overlap distribution to a bimodal shape occurs. We give evidence that these bimodal distributions are not due to first-order phase transitions. However, they reflect finite-size effects due to a rapidly growing length scale with decreasing temperature. We discuss the significance of this length scale for the understanding of the glass transition. |
| title | On the growing length scale in a replica-coupled glassforming liquid |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Data Analysis, Statistics and Probability |
| url | https://arxiv.org/abs/2402.04205 |