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原文連結
論文資訊
- 類型：已發表論文
- 日期：2024-12-30
摘要
We study large fluctuations of the current in a Dyson gas, a one-dimensional system of particles interacting through a logarithmic potential and subjected to random noise. We adapt the macroscopic fluctuation theory to the Dyson gas and derive two coupled partial differential equations describing the 演化 of the density and momentum. These equations are 非線性 and nonlocal, and the "boundary" conditions are mixed: some at the initial and others at the final time. If the initial condition can fluctuate (annealed setting), this boundary-value problem is tractable. We compute the cumulant generating function encoding all the cumulants of the current.
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