The damped wave equation and associated polymer
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918145111883776 |
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| author | Pan, Yuanyuan |
| author_facet | Pan, Yuanyuan |
| contents | Considering the damped wave equation with a Gaussian noise $F$ where $F$ is white in time and has a covariance function depending on spatial variables, we will see that this equation has a mild solution which is stationary in time $t$. We define a weakly self-avoiding polymer with intrinsic length $J$ associated to this SPDE. Our main result is that the polymer has an effective radius of approximately $J^{5/3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01631 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The damped wave equation and associated polymer Pan, Yuanyuan Probability Considering the damped wave equation with a Gaussian noise $F$ where $F$ is white in time and has a covariance function depending on spatial variables, we will see that this equation has a mild solution which is stationary in time $t$. We define a weakly self-avoiding polymer with intrinsic length $J$ associated to this SPDE. Our main result is that the polymer has an effective radius of approximately $J^{5/3}$. |
| title | The damped wave equation and associated polymer |
| topic | Probability |
| url | https://arxiv.org/abs/2310.01631 |