Whitham approach to certain large fluctuation problems in statistical mechanics

DOI10.1088/1751-8121/ad17d6arXiv2307.09030OpenAlexW4390062818MaRDI QIDQ6184818

Eldad Bettelheim

Publication date: 29 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.09030

zbMATH Keywords

Riemann-Hilbert problemlarge deviationsmacroscopic fluctuation theoryinvese scattering

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Method of averaging for two-dimensional integrable equations
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Dynamic Scaling of Growing Interfaces
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• Full statistics of nonstationary heat transfer in the Kipnis–Marchioro–Presutti model
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonlinear Dispersive Waves