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Ion-impact-induced multifragmentation of liquid droplets

Abstract

An instability of a liquid droplet traversed by an energetic ion is explored theoretically. This instability is brought about by the predicted shock wave induced by the ion. An observation of multifragmentation of small droplets traversed by ions with high linear energy transfer is suggested to demonstrate the existence of shock waves. A number of effects are analysed in effort to find the conditions for such an experiment to be signifying. The presence of shock waves crucially affects the scenario of radiation damage with ions since the shock waves significantly contribute to the thermomechanical damage of biomolecules as well as the transport of reactive species. While the scenario has been upheld by analyses of biological experiments, the shock waves have not yet been observed directly, regardless of a number of ideas of experiments to detect them were exchanged at conferences.

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References

  1. 1.

    L. Rayleigh, Phil. Mag. 14, 185 (1882)

    Google Scholar 

  2. 2.

    G. Taylor, Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 201, 192 (1950)

    ADS  Article  Google Scholar 

  3. 3.

    C. von Weizsäcker, Z. Phys. 96, 431 (1935)

    Article  Google Scholar 

  4. 4.

    M. Brack, Rev. Mod. Phys. 65, 677 (1993)

    ADS  Article  Google Scholar 

  5. 5.

    A. Lyalin, O. Obolensky, A. Solov’yov, W. Greiner, Int. J. Mod. Phys. E 15, 153 (2006)

    ADS  Article  Google Scholar 

  6. 6.

    E. Surdutovich, A. Solov’yov, Phys. Rev. E 82, 051915 (2010)

    ADS  Article  Google Scholar 

  7. 7.

    E. Fokas, G. Kraft, H. An, R. Engenhart-Cabillic, Biochim. Biophys. Acta 1796, 216 (2009)

    Google Scholar 

  8. 8.

    D. Schardt, T. Elsässer, D. Schulz-Ertner, Rev. Mod. Phys. 82, 383 (2010)

    ADS  Article  Google Scholar 

  9. 9.

    E.J. Hall, A.J. Giaccia, Radiobiology for radiologist (Lippincott Williams & Wilkins, Philadelphia, Baltimore, New York, London, 2012)

  10. 10.

    E.L. Alpen, Radiation biophysics (Academic Press, San Diego, London, Boston, New York, Sydney, Tokyo, Toronto, 1998)

  11. 11.

    H. Nikjoo, S. Uehara, D. Emfietzoglou, F.A. Cucinotta, Radiat. Meas. 41, 1052 (2006)

    Article  Google Scholar 

  12. 12.

    R. Stewart et al., Phys. Med. Biol. 60, 8249 (2015)

    Article  Google Scholar 

  13. 13.

    W. Friedland, E. Schmitt, P. Kundrat et al., Sci. Rep. 7, 45161 (2017)

    ADS  Article  Google Scholar 

  14. 14.

    E. Surdutovich, A. Solov’yov, Eur. Phys. J. D 68, 353 (2014)

    ADS  Article  Google Scholar 

  15. 15.

    A. Solov’yov, E. Surdutovich, E. Scifoni, I. Mishustin, W. Greiner, Phys. Rev. E 79, 011909 (2009)

    ADS  Article  Google Scholar 

  16. 16.

    A. Solov’yov, Nanoscale insights into ion-beam cancer therapy (Springer International Publishing, Cham, Switzerland, 2017)

  17. 17.

    Y. Sun, R. Nath, Med. Phys. 20, 633 (1993)

    Article  Google Scholar 

  18. 18.

    N.A. Baily, Med. Phys. 19, 525 (1992)

    ADS  Article  Google Scholar 

  19. 19.

    C. Stan, P. Willmott, H. Stone et al., J. Phys. Chem. Lett. 7, 2055 (2016)

    Article  Google Scholar 

  20. 20.

    E. Surdutovich, A.V. Yakubovich, A.V. Solov’yov, Sci. Rep. 3, 1289 (2013)

    Article  Google Scholar 

  21. 21.

    E. Surdutovich, A. Solov’yov, Eur. Phys. J. D 69, 193 (2015)

    ADS  Article  Google Scholar 

  22. 22.

    P. de Vera, E. Surdutovich, N. Mason, F. Currell, A. Solov’yov, arXiv:1703.09150 [physics.bio-ph] (2017)

  23. 23.

    A. Verkhovtsev, E. Surdutovich, A. Solov’yov, Sci. Rep. 6, 27654 (2016)

    ADS  Article  Google Scholar 

  24. 24.

    E. Surdutovich, A. Solov’yov, Eur. Phys. J. D 71, 210 (2017)

    ADS  Article  Google Scholar 

  25. 25.

    M. Toulemonde, E. Surdutovich, A. Solov’yov, Phys. Rev. E 80, 031913 (2009)

    ADS  Article  Google Scholar 

  26. 26.

    A.V. Yakubovich, E. Surdutovich, A.V. Solov’yov, AIP Conf. Proc. 1344, 230 (2011)

    ADS  Article  Google Scholar 

  27. 27.

    L. Landau, E. Lifshitz, in Fluid dynamics, 2nd ed. (Reed-Elsevier, Oxford, Boston, Johannesburg, 1987), Vol. 6

  28. 28.

    H. Bethe, Ann. Phys. 397, 325 (1930)

    Article  Google Scholar 

  29. 29.

    F. Bloch, Z. Phys. A: Hadrons Nucl. 81, 363 (1933)

    Article  Google Scholar 

  30. 30.

    E. Surdutovich, O. Obolensky, E. Scifoni, I. Pshenichnov, I. Mishustin, A. Solov’yov, W. Greiner, Eur. Phys. J. D 51, 63 (2009)

    ADS  Article  Google Scholar 

  31. 31.

    W.H. Barkas, in Nuclear research emulsions I. Techniques and theory (Academic Press, New York, London, 1963), Vol. 1

  32. 32.

    T. Liamsuwan, H. Nikjoo, Int. J. Radiat. Biol. 88, 45 (2012)

    Article  Google Scholar 

  33. 33.

    J. Meesungnoen, J.P. Jay-Gerin, A. Filali-Mouhim, S. Mankhetkorn, Radiat. Res. 158, 657 (2002)

    ADS  Article  Google Scholar 

  34. 34.

    T. Zäpfel, S. Hagmann, H. Rothard, J. Ullrich, G. Kraft, H. Schmidt-Böcking, K. Groeneveld, Nucl. Inst. Methods B 193, 651 (2002)

    ADS  Article  Google Scholar 

  35. 35.

    I.A. Solov’yov, A.V. Yakubovich, P.V. Nikolaev, I. Volkovets, A.V. Solov’yov, J. Comp. Chem. 33, 2412 (2012)

    Article  Google Scholar 

  36. 36.

    G. Sushko, I. Solov’yov, A. Solov’yov, Eur. Phys. J. D 70, 217 (2016)

    ADS  Article  Google Scholar 

  37. 37.

    G. Sushko, I. Solov’yov, A. Verkhovtsev, S. Volkov, A. Solov’yov, Eur. Phys. J. D 70, 12 (2016)

    ADS  Article  Google Scholar 

  38. 38.

    T. Liamsuwan, H. Nikjoo, Phys. Med. Biol. 58, 673 (2013)

    Article  Google Scholar 

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Correspondence to Eugene Surdutovich.

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Contribution to the Topical Issue “Dynamics of Systems at the Nanoscale”, edited by Andrey Solov’yov and Andrei Korol.

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Surdutovich, E., Verkhovtsev, A. & Solov’yov, A.V. Ion-impact-induced multifragmentation of liquid droplets. Eur. Phys. J. D 71, 285 (2017). https://doi.org/10.1140/epjd/e2017-80121-y

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