Microscopic cut-off dependence of an entropic force in interface propagation of stochastic order parameter dynamics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910288941416448 |
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| author | Kado, Yutaro Sasa, Shin-ichi |
| author_facet | Kado, Yutaro Sasa, Shin-ichi |
| contents | The steady propagation of a $(d-1)$-dimensional planer interface in $d$-dimensional space is studied by analyzing mesoscopic non-conserved order parameter dynamics with two local minima under the influence of thermal noise. In this analysis, an entropic force generating interface propagation is formulated using a perturbation method. It is found that the entropic force singularly depends on an ultraviolet cut-off when $d \ge 2$. The theoretical calculation is confirmed by numerical simulations with $d=2$. The result means that an experimental measurement of the entropic force provides an estimation of the microscopic cut-off of the mesoscopic description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03554 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Microscopic cut-off dependence of an entropic force in interface propagation of stochastic order parameter dynamics Kado, Yutaro Sasa, Shin-ichi Statistical Mechanics Classical Physics The steady propagation of a $(d-1)$-dimensional planer interface in $d$-dimensional space is studied by analyzing mesoscopic non-conserved order parameter dynamics with two local minima under the influence of thermal noise. In this analysis, an entropic force generating interface propagation is formulated using a perturbation method. It is found that the entropic force singularly depends on an ultraviolet cut-off when $d \ge 2$. The theoretical calculation is confirmed by numerical simulations with $d=2$. The result means that an experimental measurement of the entropic force provides an estimation of the microscopic cut-off of the mesoscopic description. |
| title | Microscopic cut-off dependence of an entropic force in interface propagation of stochastic order parameter dynamics |
| topic | Statistical Mechanics Classical Physics |
| url | https://arxiv.org/abs/2304.03554 |