Brownian Motion of N Interacting Particles. I. Extension of the Einstein Diffusion Relation to the N-Particle Case

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Abstract
The analogs of the Smoluchowski equation and the Einstein diffusion relation for the case of N interacting Brownian particles are derived by a method of the Chapman‐Enskog type from the N‐particle analog of the Fokker‐Planck equation. Explicit expressions are given for the friction tensors and the diffusion tensors in the long‐range limit.