Nucleation and growth manifest universal scaling, surely
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913748958052352 |
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| author | Zhong, Fan |
| author_facet | Zhong, Fan |
| contents | When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical phenomena such as critical opalescence characterized by universal scaling emerge. These two sets of behavior are so completely different that it might appear absurd to ask whether nucleation and growth exhibit even a slight universal scaling. Here we show that universal scaling is indeed manifested in standard nucleation and growth by introducing a non-universal initial time to a recently proposed method. This generalizes the method and provides a different perspective for studying universal scaling behavior and hence universality classes of nucleation and growth. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_11231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nucleation and growth manifest universal scaling, surely Zhong, Fan Statistical Mechanics When a system is brought to a metastable state, nuclei of the equilibrium phase form and grow. This is the well-known nucleation and growth of first-order phase transitions. Near a critical point of a continuous phase transition, critical phenomena such as critical opalescence characterized by universal scaling emerge. These two sets of behavior are so completely different that it might appear absurd to ask whether nucleation and growth exhibit even a slight universal scaling. Here we show that universal scaling is indeed manifested in standard nucleation and growth by introducing a non-universal initial time to a recently proposed method. This generalizes the method and provides a different perspective for studying universal scaling behavior and hence universality classes of nucleation and growth. |
| title | Nucleation and growth manifest universal scaling, surely |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2405.11231 |