DOI QR코드

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Study of Diffusion-Controlled Processes. Potential Shape Dependence in One-dimension

  • 발행 : 1987.04.20

초록

The Smoluchowski equations with a linear and a parabolic potentials in one-dimensional case are solved for the reflecting boundary condition. Analytic expressions for the long-time behaviors of the remaining probabilities are obtained. These results, together with the previous result for a step potential, show the dependence of the desorption process on the form of potential. The effect of the radiation boundary condition is also investigated for three types of potentials.

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참고문헌

  1. Diffusion in Liquids: A theoretical and experimental study H. J. V. Tyrrell;K. R. Harris
  2. Comprehensive Chemical Kinetics: Diffusion-Limited Reactions v.25 S. A. Rice
  3. Ann. Rev. Phys. Chem. v.34 D. F. Calef;J. M. Deutch
  4. Rev. Mod. Phys. v.15 S. Chandrasekhar
  5. Surface Science v.75 K. M. Hong;J. Noolandi
  6. Phys. Rev. v.B13 P. B. Visscher
  7. J. Chem. Phys. v.66 G. C. Hartmann;J. Noolandi
  8. Bull. Kor. Chem. Soc. v.7 D. Y. Kim;S. Shin;K. J. Shin
  9. Handbook of Mathematical Functions M. Abramowitz;I. A. Stegun
  10. J. Colloid Sci. v.4 F. C. Collins;G. E. Kimball
  11. Numerical Solution of Partial Differntial Equations: Finite Difference Methods G. D. Smith