Non-stationary current fluctuations in 1D boundary-driven diffusive systems via Macroscopic Fluctuation Theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916050727075840 |
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| author | Suzuki, Daisuke Sasamoto, Tomohiro |
| author_facet | Suzuki, Daisuke Sasamoto, Tomohiro |
| contents | While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of one-dimensional boundary-driven diffusive systems coupled to particle reservoirs at both ends. We exactly derive the current variance for systems with a constant diffusion coefficient and arbitrary mobility, as well as the cumulant generating function for the current in Reflective Brownian Motion (RBM). Our results demonstrate that non-steady current fluctuations during the approach to a steady state can be quantitatively described within the MFT framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27275 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-stationary current fluctuations in 1D boundary-driven diffusive systems via Macroscopic Fluctuation Theory Suzuki, Daisuke Sasamoto, Tomohiro Statistical Mechanics While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of one-dimensional boundary-driven diffusive systems coupled to particle reservoirs at both ends. We exactly derive the current variance for systems with a constant diffusion coefficient and arbitrary mobility, as well as the cumulant generating function for the current in Reflective Brownian Motion (RBM). Our results demonstrate that non-steady current fluctuations during the approach to a steady state can be quantitatively described within the MFT framework. |
| title | Non-stationary current fluctuations in 1D boundary-driven diffusive systems via Macroscopic Fluctuation Theory |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2605.27275 |