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On the applicability of Young–Laplace equation for nanoscale liquid drops

  • Physical Chemistry of Nanoclusters and Nanomaterials
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Abstract

Debates continue on the applicability of the Young–Laplace equation for droplets, vapor bubbles and gas bubbles in nanoscale. It is more meaningful to find the error range of the Young–Laplace equation in nanoscale instead of making the judgement of its applicability. To do this, for seven liquid argon drops (containing 800, 1000, 1200, 1400, 1600, 1800, or 2000 particles, respectively) at T = 78 K we determined the radius of surface of tension R s and the corresponding surface tension γ s by molecular dynamics simulation based on the expressions of R s and γ s in terms of the pressure distribution for droplets. Compared with the two-phase pressure difference directly obtained by MD simulation, the results show that the absolute values of relative error of two-phase pressure difference given by the Young–Laplace equation are between 0.0008 and 0.027, and the surface tension of the argon droplet increases with increasing radius of surface of tension, which supports that the Tolman length of Lennard-Jones droplets is positive and that Lennard-Jones vapor bubbles is negative. Besides, the logic error in the deduction of the expressions of the radius and the surface tension of surface of tension, and in terms of the pressure distribution for liquid drops in a certain literature is corrected.

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References

  1. J. S. Rowlinson, and B. Widom, Molecular Theory of Capillarity (Clarendon, Oxford, 1982).

    Google Scholar 

  2. J. W. Gibbs, Collected Works (Longmans Green, New York, 1928).

    Google Scholar 

  3. S. M. Thompson, K. E. Gubbins, J. P. R. B. Walton, et al., J. Chem. Phys. 81, 530 (1984).

    Article  CAS  Google Scholar 

  4. M. J. P. Nijmeijer, C. Bruin, A. B. van Woerkom, et al., J. Chem. Phys. 96, 565 (1992).

    Article  CAS  Google Scholar 

  5. S. H.Park, J. G. Weng, and C. L. Tien, Int. J. Heat Mass Transfer 44, 1849 (2001).

    Article  Google Scholar 

  6. R. C. Tolman, J. Chem. Phys. 17, 333 (1949).

    Article  CAS  Google Scholar 

  7. M. Matsumoto and K. Tanaka, Fluid Dyn. Res. 40, 546 (2008).

    Article  Google Scholar 

  8. S. Cui, J. Wei, X. Wang, S. Xu, Z. Sun, and R. Zhu, J. Comput. Theor. Nanosci. 12, 189 (2015)

    Article  CAS  Google Scholar 

  9. A. Tartakovsky and P. Meakin, Phys. Rev. E 72, 026301 (2005).

    Article  Google Scholar 

  10. G. Nagayama, T. Tsuruta, and P. Cheng, Int. J. Heat Mass Transfer 49, 4437 (2006).

    Article  CAS  Google Scholar 

  11. M. P. Allen and D. J. Tildesley, Computer Simualtion of Liquids (Clarendon, Oxford, 1987).

    Google Scholar 

  12. P. Schofield and J. R. Henderson, Proc. R. Soc. London A 379, 231 (1982).

    Article  Google Scholar 

  13. E. Wajnryb, A. R. Altenberger, and J. S. Dahler, J. Chem. Phys. 103, 9782 (1995).

    Article  CAS  Google Scholar 

  14. E. M. Blokhuis and J. Kuipers, J. Chem. Phys. 124, 074701 (2006).

    Article  Google Scholar 

Download references

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Correspondence to Ruzeng Zhu.

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Yan, H., Wei, J., Cui, S. et al. On the applicability of Young–Laplace equation for nanoscale liquid drops. Russ. J. Phys. Chem. 90, 635–640 (2016). https://doi.org/10.1134/S0036024416030158

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  • DOI: https://doi.org/10.1134/S0036024416030158

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