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Unified approach to the calculation of inertial corrections in diffusion

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  • Steiger, Ulrich R.

Abstract

Inertial effects in diffusion due to the nonlinear equations of motion are investigated. The starting point is a Fokker-Planck equation for a general mechanical system with Lagrange function L = 12gij(q1,…,qn)qiqj − U(q1,…,qn) under the influence of random forces. The reduction to a description in position space is achieved by using the time ordered cumulant expansion and the boson operator representation. The first term of the expansion gives the Smoluchowski type diffusion equation. The next term leads to inertial corrections. This theory can be applied, for example, to the diffusion of N asymmetric molecules immersed in a fluid undergoing coupled translational and rotational diffusion and interacting via intermolecular and hydrodynamic forces. Comparison with the literature is presented.

Suggested Citation

  • Steiger, Ulrich R., 1984. "Unified approach to the calculation of inertial corrections in diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 1-24.
    • Handle: RePEc:eee:phsmap:v:125:y:1984:i:1:p:1-24
    DOI: 10.1016/0378-4371(84)90002-5
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