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- W4384807946 abstract "We show the relationship between the strongly non-linear limit (also termed the dispersionless or the Whitham limit) of the macroscopic fluctuation theory of certain statistical models and the inverse scattering method. We show that in the strongly non-linear limit the inverse scattering problem can be solved using the steepest descent method of the associated Riemann--Hilbert problem. The importance of establishing this connection, is that the equations in the strongly non-linear limit can often be solved exactly by simple means, the connection then provides a limit in which one can solve the inverse scattering problem, thus aiding potentially the exact solution of a particular large deviation problem." @default.
- W4384807946 created "2023-07-20" @default.
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- W4384807946 date "2023-07-18" @default.
- W4384807946 modified "2023-09-26" @default.
- W4384807946 title "Whitham Approach to Certain Large Fluctuation Problems in Statistical Mechanics" @default.
- W4384807946 doi "https://doi.org/10.48550/arxiv.2307.09030" @default.
- W4384807946 hasPublicationYear "2023" @default.
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