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Memory function approach to the dynamics of interacting Brownian particles

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  • Dieterich, W.
  • Peschel, I.

Abstract

We investigate some of the dynamic properties of diffusing particles described by a many-body Smoluchowski equation. The dynamic structure factor is expressed in terms of a memory function which is evaluated in the cases of i) weak interaction and ii) low particle density, but arbitrary interaction. A one-dimensional system with a hard-core pair potential is treated explicitly. Furthermore, by including a periodic single-particle potential, a model is obtained which has relevance to superionic conductors. For this case we discuss how the frequency-dependent conductivity is affected by the correlated motion of particles.

Suggested Citation

  • Dieterich, W. & Peschel, I., 1979. "Memory function approach to the dynamics of interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(2), pages 208-224.
    • Handle: RePEc:eee:phsmap:v:95:y:1979:i:2:p:208-224
    DOI: 10.1016/0378-4371(79)90052-9
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