Nature of Sub-diffusion Crossover in Molecular and Polymeric Glass-Formers
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910310563053568 |
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| author | Srinivasan, H. Sharma, V. K. Sakai, V. G. Mitra, S. |
| author_facet | Srinivasan, H. Sharma, V. K. Sakai, V. G. Mitra, S. |
| contents | A crossover from a non-Gaussian to Gaussian sub-diffusion has been observed ubiquitously in various polymeric/molecular glass-formers. We have developed a framework which generalizes the fractional Brownian motion (fBm) model to incorporate non-Gaussian features by introducing a jump kernel. We illustrate that the non-Gaussian fBm (nGfBm) model accurately characterizes the sub-diffusion crossover. From the solutions of the nGfBm model, we gain insights into the nature of van-Hove self-correlation in non-Gaussian subdiffusive regime, which are found to exhibit exponential tails, providing first such experimental evidence in molecular and polymeric glass-formers. The results of the model are substantiated using incoherent quasielastic neutron scattering on glass-forming deep eutectic solvents. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07870 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nature of Sub-diffusion Crossover in Molecular and Polymeric Glass-Formers Srinivasan, H. Sharma, V. K. Sakai, V. G. Mitra, S. Soft Condensed Matter A crossover from a non-Gaussian to Gaussian sub-diffusion has been observed ubiquitously in various polymeric/molecular glass-formers. We have developed a framework which generalizes the fractional Brownian motion (fBm) model to incorporate non-Gaussian features by introducing a jump kernel. We illustrate that the non-Gaussian fBm (nGfBm) model accurately characterizes the sub-diffusion crossover. From the solutions of the nGfBm model, we gain insights into the nature of van-Hove self-correlation in non-Gaussian subdiffusive regime, which are found to exhibit exponential tails, providing first such experimental evidence in molecular and polymeric glass-formers. The results of the model are substantiated using incoherent quasielastic neutron scattering on glass-forming deep eutectic solvents. |
| title | Nature of Sub-diffusion Crossover in Molecular and Polymeric Glass-Formers |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2303.07870 |