Self-diffusion in sheared suspensions: Violation of the Einstein relation

Grzegorz Szamel, Jerzy Blawzdziewicz, Jan A. Leegwater

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Starting from the Smoluchowski equation we derive exact microscopic expressions for the self-diffusion and the self-mobility coefficients of a sheared suspension of interacting colloidal particles in a semidiluted regime. We find that the usual Einstein relation between the self-mobility and the self-diffusion matrices is no longer valid for this nonequilibrium situation. The self-mobility and self-diffusion matrices are explicitly calculated in a low-shear-rate regime for a charge-stabilized colloidal suspension.

Original languageEnglish
Pages (from-to)R2173-R2176
JournalPhysical Review A
Issue number4
StatePublished - 1992


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