# COUPLED BURGERS EQUATIONS - A MODEL OF POLYDISPERSIVE SEDIMENTATION

Source: [COUPLED BURGERS EQUATIONS - A MODEL OF POLYDISPERSIVE SEDIMENTATION](<https://www.sota2.com/research/paper/68fa34201e209131ce895c09>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:27:13.692Z

Authors: Sergei E. Esipov

Published: 1995-01-07T00:19:52.000Z

## Abstract

This paper compares theory and experiment for the kinetics of time-dependent sedimentation. We discuss non-interacting suspensions and colloids which may exhibit behavior similar to the one-dimensional motion of compressible gas. The velocity of sedimentation (or creaming) depends upon the volume fraction of the constituting particles and leads to Burgers-like equations for concentration profiles. It is shown that even the bi-dispersive system of two coupled Burgers equations has rich dynamics. The study of polydispersive case reveals a continuous \`\`renormalization'' of the polydispersity. We compare the Burgers system evolution with the experimental results on mono- and polydispersive sedimentation. The influence of thermal fluctuations is briefly discussed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9501021>)

[PDF](<https://arxiv.org/pdf/cond-mat/9501021.pdf>)