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Using the Nonequilibrium Hydrodynamic Approach to Describe Collisions between Atomic Nuclei as Collisions between Korteweg–de Vries Solitons

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The nonequilibrium hydrodynamic approach is used to find a soliton-like analytical solution to equations for collisions in nuclear slab layers. The promise of using the hydrodynamic approach to describe collisions between medium-energy heavy ions and the importance of allowing for nonequilibrium processes are substantiated. Stages of the compression, expansion, and divergence of layers of nuclear matter with energies of ~10 MeV per nucleon are considered within a single formula. Results indicate the formation of a hot spot at the compression stage. Reducing solutions to hydrodynamics equations in this case down to that of two Korteweg–de Vries equations has never been considered before and is of independent interest for a wide range of applied problems.

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REFERENCES

  1. Fortov, V.E. and Lomonosov, I.V., Phys.—Usp., 2014, vol. 57, no. 3, p. 219.

    Article  ADS  Google Scholar 

  2. Fortov, V.E., Sharkov, B.Yu., and Stöcker, H., Phys.—Usp., 2012, vol. 55, no. 6, p. 582.

    Article  ADS  Google Scholar 

  3. Stöcker, H. and Greiner, W., Phys. Rep., 1986, vol. 137, nos. 5–6, p. 277.

    Article  ADS  Google Scholar 

  4. D’yachenko, A.T., Gridnev, K.A., and Greiner, W., J. Phys. G, 2013, vol. 40, no. 3, 085101.

    Article  ADS  Google Scholar 

  5. D’yachenko, A.T. and Mitropolsky, I.A., Phys. At. Nucl., 2020, vol. 83, p. 558.

    Article  Google Scholar 

  6. D’yachenko, A.T. and Mitropolsky, I.A., Bull. Russ. Acad. Sci.: Phys., 2020, vol. 84, p. 391.

    Article  MathSciNet  Google Scholar 

  7. D’yachenko, A.T. and Mitropolsky, I.A., Bull. Russ. Acad. Sci.: Phys., 2021, vol. 85, p. 554.

    Article  Google Scholar 

  8. D’yachenko, A.T., Gridnev, K.A., and Mitropol’skii, I.A, Bull. Russ. Acad. Sci.: Phys., 2021, vol. 79, p. 858.

    Article  Google Scholar 

  9. D’yachenko, A.T. and Mitropolsky, I.A., Bull. Russ. Acad. Sci.: Phys., 2017, vol. 81, p. 1521.

    Article  Google Scholar 

  10. D’yachenko, A.T. and Mitropolsky, I.A., EPJ Web Conf., 2019, vol. 204, no. 3, 03018.

  11. D’yachenko, A.T. and Mitropolsky, I.A., Phys. At. Nucl., 2019, vol. 82, p. 1641.

    Article  Google Scholar 

  12. Korteweg, D.J. and Vries, G., Philos. Mag., 1895, vol. 39, p. 422.

    Article  MathSciNet  Google Scholar 

  13. D’yachenko, A.T., Proc. Int. Conf. “Nuclear Shells–50 Years,” Dubna, 1999, Singapore: World Sci., 2000, p. 492.

  14. Gol’dshtein, R.V. and Gorodtsov, V.A., Mekhanika sploshnykh sred (Continuous Media Mechanics), Moscow: Fizmatlit, 2000, part 1.

  15. Lamb, J.L., Elements of Soliton Theory, New York: Wiley, 1980.

    MATH  Google Scholar 

Download references

CONFLICT OF INTEREST

The authors declare that they have no conflicts of interest.

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Authors and Affiliations

  1. St. Petersburg State Transport University, 190031, St. Petersburg, Russia

    A. T. D’yachenko

  2. Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute, 188300, Gatchina, Leningrad oblast, Russia

    A. T. D’yachenko & I. A. Mitropolsky

  3. St. Petersburg Scientific Center, Russian Academy of Sciences, 199034, St. Petersburg, Russia

    I. A. Mitropolsky

Authors
  1. A. T. D’yachenko
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  2. I. A. Mitropolsky
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Corresponding author

Correspondence to A. T. D’yachenko.

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Translated by M. Potapov

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D’yachenko, A.T., Mitropolsky, I.A. Using the Nonequilibrium Hydrodynamic Approach to Describe Collisions between Atomic Nuclei as Collisions between Korteweg–de Vries Solitons. Bull. Russ. Acad. Sci. Phys. 86, 962–965 (2022). https://doi.org/10.3103/S1062873822080068

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  • DOI: https://doi.org/10.3103/S1062873822080068

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