D’yachenko A.T.1, Mitropolsky I.A.2
1Emperor Alexander I Petersburg State Transport University, Saint Petersburg, Russia
2B.P.Konstantinov Petersburg Nuclear Physics Institute, Gatchina, Russia
Within the framework of the hydrodynamic approach, we carried out the investigation of a non-equilibrium equation of state. We noted the prospect of hydrodynamic approach in nuclear physics We considered the compression, expansion and freeze-out stages of a hot spot formed in heavy-ion collisions. The calculated energy spectra of protons produced in heavy-ion collisions have been compared with the experimental data for the different combinations of colliding nuclei in the energy range from a few tens to hundreds of MeV per nucleon, and with the results of calculations by the method based on the solution of the Vlasov-Uehling-Uhlenbeck (VUU) kinetic equation.
This work is dedicated to the Konstantin Alexandrovich Gridnev memory.
1. Einstein A. Theorie der Grundlagen der Thermodynamik. Annalen der Physik, series VI, 1903, vol.11, pp. 170-187.;
Einstein A. Sobranie nauchnykh trudov v 4 tomakh. Teoriya osnov termodinamiki [Collection of scientific works in 4 volumes. The theory of thermodynamics fundamentals]. Moscow, Science Publ., 1966. vol.3, p.50.
2. Bohr N., Wheeler J.A. The mechanism of nuclear fission. Physical Review, 1939, vol.56, pp. 426-450.
3. Landau L.D. O mnozhestvennom obrazovanii chastits pri stolknoveniyakh bystrykh chastits [About multiple particle production in collisions of fast particles]. Izvestiya AN SSSR. Seriya: Fizicheskaya - Proceedings of the Academy of Sciences of the USSR. Series: Physics, 1953, no.17, p. 51.
4. Stцcker H, Greiner W. High energy heavy ion collisions - probing the equation of state of highly excited hadronic matter. Physics Reports, 1986, vol.137, no.5-6, pp. 277-392. doi:10.1016/0370-1573(86)90131-6
5. Lifshitz I.M., Slezov V.V. Kinetika diffuzionnogo raspada peresyshchennykh tverdykh rastvorov [Kinetics of diffusive decomposition of supersaturated solid solutions]. Zhurnal Eksperimental'noy i Teoreticheskoy Fiziki - Journal of Experimental and Theoretical Physics, 1958, vol.35, no.2(8),
pp. 479-492.
6. Bodunov E.N., Berberan-Santos M.N., Pogliani L. O vide funktsii raspredeleniya kvantovykh tochek po razmeram [About a function of the distribution of quantum dots size]. Optika i spektroskopiya - Optics and Spectroscopy, 2011, vol.111, no.1, pp. 66-70.
7. D’yachenko A.T. Spektr bystrykh chastits v gidrodinamicheskoy modeli stolknoveniy tyazhelykh ionov [Spectra of fast particles in the hydrodynamic model of heavy ion collisions]. Yadernaya fizika - Physics of Atomic Nuclei, 1994, vol.57, pp. 2006-2012.
8. D’yachenko A.T., Gridnev K.A. Skhema rascheta stolknoveniy tyazhelykh ionov v ramkakh modifitsirovannogo gidrodinamicheskogo podkhoda [Calculation sheme of heavy ion collisions within the framework of modified hydrodynamic approach]. Izvestiya Rossiyskoy Akademii Nauk: Seriya Fizicheskaya - Bulletin of the Russian Academy of Sciences: Physics, 2013, vol.77, no.7, pp. 943-947.
9. D’yachenko A.T., Gridnev K.A., Greiner W. Calculation of heavy ion collisions within the framework of the modified hydrodynamic approach. Journal of Physics G: Nuclear and Particle Physics, 2013, vol.40, no.8, P. 085101.
10. D’yachenko A.T., Gridnev K.A. Raschet stolknoveniy tyazhelykh ionov v ramkakh gidrodinamicheskogo podkhoda s neravnovesnym uravneniem sostoyaniya [Calculation of heavy ion collisions within the framework of the hydrodynamic approach with a non-equilibrium equation of state]. Izvestiya Rossiyskoy Akademii Nauk: Seriya Fizicheskaya - Bulletin of the Russian Academy of Sciences: Physics, 2014, vol.78, no.7, pp. 866-871.
11. D’yachenko A.T., Gridnev K.A., Mitropolsky I.A. Osobennosti neravnovesnogo uravneniya sostoyaniya v stolknoveniyakh tyazhelykh ionov promezhutochnykh energiy [Features of a non-equilibrium equation of state in heavy ion collisions at intermediate energies]. Izvestiya Rossiyskoy Akademii Nauk: Seriya Fizicheskaya - Bulletin of the Russian Academy of Sciences: Physics, 2015, vol.79, no.7, pp. 952-957.
12. D’yachenko A.T., Gridnev K.A , Mitropolsky I.A., Greiner W. A non-equilibrium equation of state in heavy-ion collisions at intermediate energies. Proc. Int. Symposium on Exotic Nuclei. Kaliningrad, 2014, P. 413.
13. Bertsch G. The collision integral in nuclear matter at zero temperature. Zeitschrift fьr Physik A Hadrons and Nuclei, 1978, vol.289, P. 103.
14. Avdeichikov V.V. et al. (CHIC–Collaboration) Chemical and kinetic temperatures extracted in reaction of 14N+112Sn, 124Sn at 32 MeV/nucleon. Proc. Int. School-Seminar on Heavy Ion Physics. Dubna, 1993, vol.2, P. 238.
15. Gosset J. et al. Central collisions of relativistic heavy ions. Physical Review C, 1977, vol.16, P. 629.