https://data.archives-ouvertes.fr/document/hal-03666013v1

https://data.archives-ouvertes.fr/document/hal-03666013

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https://data.archives-ouvertes.fr/document/hal-03666013v1

http://purl.org/dc/elements/1.1/subject Heat transfer
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http://purl.org/ontology/bibo/doi 10.1103/PhysRevLett.128.130602
http://purl.org/dc/terms/isPartOf https://data.archives-ouvertes.fr/revue/17980
http://purl.org/dc/elements/1.1/subject Fluctuations & noise
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http://purl.org/dc/terms/isPartOf https://u-paris.hal.science/UNIVERSITE-PARIS
http://purl.org/dc/elements/1.1/subject Nonlinear dynamics
http://purl.org/ontology/bibo/issue 13
http://purl.org/dc/terms/type https://data.archives-ouvertes.fr/doctype/Article
http://purl.org/dc/elements/1.1/subject Statistical physics
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http://purl.org/dc/terms/bibliographicCitation Eldad Bettelheim, Naftali Smith, Baruch Meerson. Inverse Scattering Method Solves the Problem of Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model. Physical Review Letters, 2022, 128 (13), pp.130602. ⟨10.1103/PhysRevLett.128.130602⟩. ⟨hal-03666013⟩
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http://data.archives-ouvertes.fr/schema/arxiv 2112.02474
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http://purl.org/dc/elements/1.1/subject Stochastic process
http://purl.org/dc/terms/created 2022-05-12T11:17:20
http://purl.org/dc/terms/issued 2022-03
http://purl.org/dc/terms/creator _:vb17565673
http://purl.org/dc/terms/creator _:vb17565674
http://purl.org/dc/terms/creator _:vb17565675
http://purl.org/dc/terms/contributor _:vb17565672
http://purl.org/dc/terms/modified 2024-04-19T16:18:59
http://purl.org/dc/terms/identifier https://u-paris.hal.science/hal-03666013
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http://purl.org/dc/terms/abstract We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti lattice gas model at long times by uncovering and exploiting complete integrability of the underlying equations of the macroscopic fluctuation theory. These equations are closely related to the derivative nonlinear Schrödinger equation (DNLS), and we solve them by the Zakharov-Shabat inverse scattering method (ISM) adapted by D. J. Kaup and A. C. Newell, J. Math. Phys. 19, 798 (1978) for the DNLS. We obtain explicit results for the exact large deviation function of the transferred heat for an initially localized heat pulse, where we uncover a nontrivial symmetry relation.
http://purl.org/dc/terms/title Inverse Scattering Method Solves the Problem of Full Statistics of Nonstationary Heat Transfer in the Kipnis-Marchioro-Presutti Model
http://purl.org/dc/terms/rights http://hal.archives-ouvertes.fr/licences/copyright/
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