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arXiv · 2609.08138

Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing range

Yipeng Lu·Wei Wang
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Abstract

We consider a finite two-dimensional pinned harmonic chain with an interaction range that diverges with the system size and with conservative rotational noise. Under a joint scaling in which the interaction range diverges microscopically but vanishes macroscopically, we prove that the expected em- pirical energy measures converge to the unique measure-valued weak solution of the heat equation.

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Yipeng Lu, Wei Wang. 2026-09-08. Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing range. https://arxiv.org/abs/2609.08138

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