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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-06-05
摘要
We study the 演化 of a system of many point particles initially concentrated in a small region in d dimensions. Particles undergo overdamped motion caused by pairwise interactions through the long-ranged repulsive r(-s) potential; each particle is also subject to white Gaussian noise. When s < d, the expansion is governed by nonlocal hydrodynamic equations. In the one-dimensional case, we deduce self-similar solutions for all s E (-2, 1). The expansion of Coulomb gases remains well-defined in the infinite-particle limit: The density is spatially uniform and inversely proportional to time, independent of the spatial dimension.
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