Whitham Approach to Certain Large Fluctuation Problems in Statistical Mechanics

Autor:	Bettelheim, Eldad
Rok vydání:	2023
Předmět:	Condensed Matter - Statistical Mechanics Mathematical Physics Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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. Comment: Reference added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.09030 Zobrazit plný text záznamu View this record from Arxiv