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Updated: Jul 2, 2026

Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
Published on: August 1, 2017
Current fluctuations in the Dyson gas
Rahul Dandekar1, P L Krapivsky2,3, Kirone Mallick1
1Commissariat à l'Energie Atomique Paris-Saclay, Institut de Physique Théorique, F-91191 Gif-sur-Yvette Cedex, France.
Abstract:
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 evolution of the density and momentum. These equations are nonlinear 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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