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The Smoluchowski diffusion equation for structured macromolecules near structured surfaces
1.M. H. Peters, J. Chem. Phys. 110, 528 (1999). (Note that should be outside of the parentheses in Eq. (39);
1.also, the coefficient in front of in Eq. (103) should be and not
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3.R. I. Cukier and J. M. Deutch, Phys. Rev. 177, 240 (1969).
4.The molecular theory of Brownian motion is often referred to in the literature as LLRD theory after Lebowitz, Rubin, Resibois, and Davis [Phys. Rev. 131, 2381 (1969);
4.Lebowitz, Rubin, Resibois, and Davis , Physica (Utrecht) 30, 1077 (1964)], but it should be renamed KLLRD theory after the pioneering work of John Gamble Kirkwood.
4.Kirkwood presented the original molecular theory of Brownian motion in 1946, J. Chem. Phys. 14, 180 (1946) which resulted in the fluctuation–dissipation relation for the particle friction.
4.As noted by R. W. Zwanzig, The Collected Works of John Gamble Kirkwood, Selected Topics in Statistical Mechanics (Gordon and Breach, New York, 1967), Kirkwood’s work preceded that of M. S. Green.
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9.More quantitatively, is the characteristic length over which the potential associated with any (nonhydrodynamic) external force or torque acting on the particle changes by For electrically neutral systems, is usually on the order of the particle radius. Under these conditions, a particle with radius of 1 micron and density of 2.0 g/cm3 in water at 20 °C has a Stokes number of On the other hand, that same particle in an electrical field of 1000 V/cm carrying 1000 elementary charges gives an of cm and a Stokes number of 1.2.
10.H. Brenner and D. W. Condiff, J. Colloid Interface Sci. 41, 228 (1972).
11.See, e.g., S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd. ed. (Cambridge University Press, Cambridge, England, 1970); in particular see Sec. 10.31.
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12.Also, see J. Czarnecki, J. Colloid Interface Sci. 72, 361 (1979).
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