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Diffusion of Nanoparticles and Macromolecules in Dense Gases and Liquids

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Abstract

The method of molecular dynamics is used to study the diffusion of large molecules or nanoparticles in a dense molecular medium (liquid or gas) in a wide range of densities. Particles and molecules are simulated by hard, absolutely elastic spheres. The ratio of the particle and molecule diameters of the medium varies from unity to four, and the mass ratio, from unity to 300. The density of the carrier medium is characterized by the parameter V/V 0(V 0is the volume of close-packed structure of molecules, and Vis the volume of the calculation cell), which is varied from 2 to 75.3. The dependences of the diffusion coefficient of a particle on its mass and on the density of carrier gas are investigated. It is found that the relaxation of the autocorrelation function of the velocity of a particle is described well by the superposition of two exponential functions with different relaxation times. The obtained data are compared with known theoretical models.

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REFERENCES

  1. Ferziger, J.H. and Kaper, H.G., Mathematical Theory of Transport in Gases, Amsterdam: North-Holland, 1972. Translated under the title Matematicheskaya teoriya protsessov perenosa v gazakh, Moscow: Mir, 1976.

    Google Scholar 

  2. Alder, B.J. and Wainwright, T.E., J. Chem. Phys., 1959, vol. 31, no. 2, p. 459.

    Google Scholar 

  3. Herman, P.T. and Alder, B.J., J. Chem. Phys., 1972, vol. 56, p. 987.

    Google Scholar 

  4. Alder, B.J., Alley, W.E., and Dymond, J.H., J. Chem. Phys., 1974, vol. 61, no. 4, p. 1415.

    Google Scholar 

  5. Erpenbeck, J.J., Phys. Rev. A, 1989, vol. 39, no. 9, p. 4719.

    Google Scholar 

  6. Erpenbeck, J.J., Phys. Rev. A, 1992, vol. 45, no. 4, p. 2298.

    Google Scholar 

  7. Erpenbeck, J.J., Phys. Rev. E, 1993, vol. 48, no. 1, p. 223.

    Google Scholar 

  8. Easteal, A.J. and Woolf, G.A., Chem. Phys. Lett., 1990, vol. 167, no. 4, p. 329.

    Google Scholar 

  9. Subramanian, G., Lewitt, D., and Davis, H., J. Chem. Phys., 1974, vol. 60, no. 2, p. 591.

    Google Scholar 

  10. Alder, B.J. and Wainright, T.E., Phys. Rev. Lett., 1967, vol. 18, no. 23, p. 988.

    Google Scholar 

  11. Zwanzig, R. and Bixon, M., Phys. Rev. A, 1970, vol. 2, no. 5, p. 2005.

    Google Scholar 

  12. Fisher, I.Z., Zh. Eksp. Teor. Fiz., 1971, vol. 61, no. 4, p. 1647.

    Google Scholar 

  13. Dorfman, J.R. and Cohen, E.G.D., Phys. Rev. A, 1972, vol. 6, no. 2, p. 776.

    Google Scholar 

  14. Rudyak, V.Ya., Kharlamov, G.V., and Belkin, A.A., Direct Numerical Simulation of Transport Processes in Heterogeneous Media. I. The Diffusion Coefficient of a Brownian Particle, Preprint of NGASU (Novosibirsk State Univ. of Architecture and Building), Novosibirsk, 1998, no. 2(12)-98.

    Google Scholar 

  15. Rudyak, V.Ya., Kharlamov, G.V., and Belkin, A.A., Direct Numerical Simulation of Transport Processes in Heterogeneous Media. I. Diffusion of Nanoparticles and Macromolecules in Dense Gases and Liquids, Preprint of NGASU (Novosibirsk State Univ. of Architecture and Building), Novosibirsk, 2000, no. 1(13)-2000.

    Google Scholar 

  16. Mansoori, G.A., Carnahan, N.F., Starling, K.E., and Leland, T.W., J. Chem. Phys., 1971, vol. 54, no. 4, p. 1523.

    Google Scholar 

  17. Alder, B.J. and Wainwright, T.E., Phys. Rev. A, 1970, vol. 1, no. 1, p. 18.

    Google Scholar 

  18. Rudyak, V.Ya., Zh. Tekh. Fiz., 1995, vol. 65, no. 11, p. 29.

    Google Scholar 

  19. Rudyak, V.Ya., Sib. Zh. Industr. Mat., 1998, vol. 1, no. 1, p. 164.

    Google Scholar 

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Rudyak, V.Y., Kharlamov, G.V. & Belkin, A.A. Diffusion of Nanoparticles and Macromolecules in Dense Gases and Liquids. High Temperature 39, 264–271 (2001). https://doi.org/10.1023/A:1017578917614

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