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Dynamics of thin fluid films controlled by thermal fluctuations

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Abstract

We consider the influence of thermal fluctuations on the dynamics of thin fluid films in two regimes. Working within the stochastic lubrication approximation, we generalize the results on (stochastic) similarity solutions [B. Davidovitch, et al., Phys. Rev. Lett. 95, 244505 (2005)] that focused on surface tension dominated regime, to gravity-driven relaxation. In particular, we verify numerically the validity of the results in gravity-dominated regime, and find that fluctuations enhance spreading, as in surface tension dominated regime, even in the presence of a faster deterministic relaxation. Considering further the novel case of fluid droplet spreading driven by surface tension and van der Waals forces, our simulations show that the presence of noise affects the value of droplet contact angle.

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References

  1. A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys. 69, 931 (1997)

    Article  ADS  Google Scholar 

  2. R.V. Craster, O.K. Matar, Rev. Mod. Phys. 81, 1131 (2009)

    Article  ADS  Google Scholar 

  3. B. Davidovitch, E. Moro, H. Stone, Phys. Rev. Lett. 95, 244505 (2005)

    Article  ADS  Google Scholar 

  4. G. Grun, K. Mecke, M. Rauscher, J. Stat. Phys. 122, 1261 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  5. S.K. Mecke, M. Rauscher, J. Phys. Condens. Matter 17, S3515 (2005)

    Article  ADS  Google Scholar 

  6. T.D. Nguyen, M. Fuentes-Cabrera, J.D. Fowlkes, P.D. Rack, Phys. Rev. E 89, 032403 (2014)

    Article  ADS  Google Scholar 

  7. L. Bocquet, E. Charlaix, Chem. Soc. Rev. 39, 1073 (2010)

    Article  Google Scholar 

  8. L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii, Statistical Physics, Part 2 (Pergamon Press, Oxford, 1980)

  9. H.-J. Butt, K. Graf, M. Kappl, Physics and Chemistry of Interfaces (Wiley-VCH, Weinheim, 2003)

  10. J.A. Diez, L. Kondic, Phys. Fluids 19, 072107 (2007)

    Article  ADS  Google Scholar 

  11. L. Tanner, J. Phys. D 95, 1473 (1979)

    Article  ADS  Google Scholar 

  12. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, E. Rolley, Rev. Mod. Phys. 81, 0034 (2009)

    Article  Google Scholar 

  13. J.A. Diez, L. Kondic, A. Bertozzi, Phys. Rev. E 63, 011208 (2000)

    Article  ADS  Google Scholar 

  14. A.-L. Barabási, H.E. Stanley, Fractal Concepts in Interface Growth (Cambridge University Press, Cambridge, UK, 1995)

  15. M. Kardar, Statistical Physics of Fields (Cambridge University Press, Cambridge, UK, 2007)

  16. D.G. Aarts, M. Schmidt, H.N. Lekkerkerker, Science 304, 847 (2004)

    Article  ADS  Google Scholar 

  17. Y. Hennequin, D. Aarts, J. van der Wiel, G. Wegdam, J. Eggers, H. Lekkerkerker, D. Bonn, Phys. Rev. Lett. 97, 244502 (2006)

    Article  ADS  Google Scholar 

  18. A.G. González, J.A. Diez, Y. Wu, J.D. Fowlkes, P.D. Rack, L. Kondic, Langumir 29, 2378 (2013)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Matemáticas and Grupo Interdisciplinar de Sistemas Complejos (GISC), Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Spain

    S. Nesic, R. Cuerno & E. Moro

  2. Instituto de Ingeniería del Conocimiento, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    E. Moro

  3. Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey, USA

    L. Kondic

Authors
  1. S. Nesic
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  2. R. Cuerno
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  3. E. Moro
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  4. L. Kondic
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Correspondence to S. Nesic.

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Nesic, S., Cuerno, R., Moro, E. et al. Dynamics of thin fluid films controlled by thermal fluctuations. Eur. Phys. J. Spec. Top. 224, 379–387 (2015). https://doi.org/10.1140/epjst/e2015-02367-1

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  • DOI: https://doi.org/10.1140/epjst/e2015-02367-1

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