Ballistic macroscopic fluctuation theory
We introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The framework adapts the ideas of the conventional macroscopic fluctuation theory (MFT) to systems that support ballistic tra...
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| Format: | Article |
| Language: | English |
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SciPost
2023-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.4.136 |
| _version_ | 1797666456446435328 |
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| author | Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto, Takato Yoshimura |
| author_facet | Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto, Takato Yoshimura |
| author_sort | Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto, Takato Yoshimura |
| collection | DOAJ |
| description | We introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The framework adapts the ideas of the conventional macroscopic fluctuation theory (MFT) to systems that support ballistic transport. The resulting "ballistic MFT" (BMFT) is solely based on the Euler hydrodynamics data of the many-body system. Within this framework, mesoscopic observables are classical random variables depending only on the fluctuating conserved densities, and Euler-scale fluctuations are obtained by deterministically transporting thermodynamic fluctuations via the Euler hydrodynamics. Using the BMFT, we show that long-range correlations in space generically develop over time from long-wavelength inhomogeneous initial states in interacting models. This result, which we verify by numerical calculations, challenges the long-held paradigm that at the Euler scale, fluid cells may be considered uncorrelated. We also show that the Gallavotti-Cohen fluctuation theorem for non-equilibrium ballistic transport follows purely from time-reversal invariance of the Euler hydrodynamics. We check the validity of the BMFT by applying it to integrable systems, and in particular the hard-rod gas, with extensive simulations that confirm our analytical results. |
| first_indexed | 2024-03-11T19:58:41Z |
| format | Article |
| id | doaj.art-985929502ba44c4180b30aa4c5de84c1 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-11T19:58:41Z |
| publishDate | 2023-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-985929502ba44c4180b30aa4c5de84c12023-10-04T13:05:42ZengSciPostSciPost Physics2542-46532023-10-0115413610.21468/SciPostPhys.15.4.136Ballistic macroscopic fluctuation theoryBenjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto, Takato YoshimuraWe introduce a new universal framework describing fluctuations and correlations in quantum and classical many-body systems, at the Euler hydrodynamic scale of space and time. The framework adapts the ideas of the conventional macroscopic fluctuation theory (MFT) to systems that support ballistic transport. The resulting "ballistic MFT" (BMFT) is solely based on the Euler hydrodynamics data of the many-body system. Within this framework, mesoscopic observables are classical random variables depending only on the fluctuating conserved densities, and Euler-scale fluctuations are obtained by deterministically transporting thermodynamic fluctuations via the Euler hydrodynamics. Using the BMFT, we show that long-range correlations in space generically develop over time from long-wavelength inhomogeneous initial states in interacting models. This result, which we verify by numerical calculations, challenges the long-held paradigm that at the Euler scale, fluid cells may be considered uncorrelated. We also show that the Gallavotti-Cohen fluctuation theorem for non-equilibrium ballistic transport follows purely from time-reversal invariance of the Euler hydrodynamics. We check the validity of the BMFT by applying it to integrable systems, and in particular the hard-rod gas, with extensive simulations that confirm our analytical results.https://scipost.org/SciPostPhys.15.4.136 |
| spellingShingle | Benjamin Doyon, Gabriele Perfetto, Tomohiro Sasamoto, Takato Yoshimura Ballistic macroscopic fluctuation theory SciPost Physics |
| title | Ballistic macroscopic fluctuation theory |
| title_full | Ballistic macroscopic fluctuation theory |
| title_fullStr | Ballistic macroscopic fluctuation theory |
| title_full_unstemmed | Ballistic macroscopic fluctuation theory |
| title_short | Ballistic macroscopic fluctuation theory |
| title_sort | ballistic macroscopic fluctuation theory |
| url | https://scipost.org/SciPostPhys.15.4.136 |
| work_keys_str_mv | AT benjamindoyongabrieleperfettotomohirosasamototakatoyoshimura ballisticmacroscopicfluctuationtheory |