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- W3101310594 abstract "Dyson’s model is a one-dimensional system of Brownian motions with long-range repulsive forces acting between any pair of particles with strength proportional to the inverse of distances with proportionality constant β/2. We give sufficient conditions for initial configurations so that Dyson’s model with β = 2 and an infinite number of particles is well defined in the sense that any multitime correlation function is given by a determinant with a continuous kernel. The class of infinite-dimensional configurations satisfying our conditions is large enough to study non-equilibrium dynamics. For example, we obtain the relaxation process starting from a configuration, in which every point of $${mathbb{Z}}$$ is occupied by one particle, to the stationary state, which is the determinantal point process with the sine kernel." @default.
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- W3101310594 date "2009-09-10" @default.
- W3101310594 modified "2023-10-12" @default.
- W3101310594 title "Non-Equilibrium Dynamics of Dyson’s Model with an Infinite Number of Particles" @default.
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- W3101310594 doi "https://doi.org/10.1007/s00220-009-0912-3" @default.
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