Abstract
The Brownian motion of adsorbed particles is described in terms of the first four velocity moments of the distribution function (number density, momentum density, energy density and energy current density). The resulting hydrodynamic equations turn out to be sufficient for a simple derivation and extension of Kramers' results for chemical reaction ratesκ in terms of the friction constantγ of an underlying Fokker-Planck equation. An interpolation formula is obtained forκ(γ) containing Kramers' results for smallγ and largeγ as limiting cases. For temperaturesT small compared to the well depthV 0 one finds a large regionT/V 0≲γ/v 0≲V 0/T in which Eyring's absolute rate theory is approximately valid.
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On leave of absence from Physikdepartment der TUM, München-Garching
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Brenig, W., Schönhammer, K. A “hydrodynamic” theory of surface reaction rates. Z Physik B 24, 91–97 (1976). https://doi.org/10.1007/BF01312878
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DOI: https://doi.org/10.1007/BF01312878