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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.03164 |
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| _version_ | 1866910003447726080 |
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| author | Saha, Soumyabrata Sadhu, Tridib |
| author_facet | Saha, Soumyabrata Sadhu, Tridib |
| contents | A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state density fluctuations remain limited to only a few integrable models. By obtaining an exact solution of the Macroscopic Fluctuation Theory, we characterize steady-state density fluctuations through large deviations for a wide range of boundary-driven diffusive systems. This allows us to identify two distinct classes of systems, one with only short-range correlations and another displaying long-range correlations. We also quantitatively describe the irreversible dynamical paths leading to these rare fluctuations in such systems. For very generic systems in arbitrary dimensions, we use a perturbation around the equilibrium state to solve for large deviations and the corresponding fluctuation paths. We find that non-locality in the large deviations emerges only at quadratic order in the perturbation, revealing non-trivial features of long-range correlations in non-equilibrium steady states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03164 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large deviations of density in the non-equilibrium steady state of boundary-driven diffusive systems Saha, Soumyabrata Sadhu, Tridib Statistical Mechanics A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state density fluctuations remain limited to only a few integrable models. By obtaining an exact solution of the Macroscopic Fluctuation Theory, we characterize steady-state density fluctuations through large deviations for a wide range of boundary-driven diffusive systems. This allows us to identify two distinct classes of systems, one with only short-range correlations and another displaying long-range correlations. We also quantitatively describe the irreversible dynamical paths leading to these rare fluctuations in such systems. For very generic systems in arbitrary dimensions, we use a perturbation around the equilibrium state to solve for large deviations and the corresponding fluctuation paths. We find that non-locality in the large deviations emerges only at quadratic order in the perturbation, revealing non-trivial features of long-range correlations in non-equilibrium steady states. |
| title | Large deviations of density in the non-equilibrium steady state of boundary-driven diffusive systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2501.03164 |