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

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

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http://data.archives-ouvertes.fr/schema/topic https://data.archives-ouvertes.fr/subject/chim
http://purl.org/dc/elements/1.1/subject Stochastic process
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http://purl.org/dc/terms/modified 2024-04-19T16:18:59
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http://purl.org/ontology/bibo/pages 130602
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://purl.org/ontology/bibo/volume 128
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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/language http://lexvo.org/id/iso639-1/en
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/elements/1.1/subject Statistical physics
http://purl.org/dc/elements/1.1/subject Nonlinear dynamics
http://purl.org/dc/terms/created 2022-05-12T11:17:20
http://data.archives-ouvertes.fr/schema/arxiv 2112.02474
http://purl.org/dc/elements/1.1/subject Heat transfer
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http://purl.org/ontology/bibo/issue 13
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