Abstract
Mass transport is described as a damped motion including inertia and a Gaussian stochastic force. The inertia coefficient is estimated in a hydrodynamical model, the damping coefficient by volume dissipation as well as by wall dissipation. Depending on the strength of the restoring force the mass-transfer degree of freedom may show inertia effects. In particular, underdamped motion cannot be excluded. The time development of the mean value 〈A〉 t and the varianceΓ t is given in the overdamped as well as in the underdamped regime. The main effect of the inertia is a slower initial increase ofΓ t . A small-amplitude oscillatory behavior ofΓ t is possible in a moderately underdamped situation.
Similar content being viewed by others
References
Nörenberg, W.: Phys. Lett. B53, 289 (1974); Z. Physik A274, 241 (1975)
Wolschin, G.: Nukleonika22, 1165 (1977); Fizika9, Suppl. 4, 513 (1977)
Wolschin, G., Nörenberg, W.: Phys. Rev. Lett.41, 691 (1978); Z. Physik A284, 209 (1978)
Wolschin, G.: International School of Physics “Enrico Fermi”. Varenna, Italy 1979
Riedel, C., Wolschin, G., Nörenberg, W.: Z. Physik A290, 47 (1979)
Bondorf, J.P., Sobel, M.I., Sperber, D.: Phys. Lett. C15, 83 (1974)
De, J.N., Garpman, S.I.A., Sherman, A., Sperber, D., Tam, K.: Phys. Lett. B78, 13 (1978)
De, J.N., Garpman, S.I.A., Sperber, D., Tam, K.: Phys. Lett. B76, 39 (1978)
Moretto, L.G., Sventek, J.S.: Phys. Lett. B58, 26 (1975)
Sventek, J.S., Moretto, L.G.: Phys. Lett. B65, 326 (1976); Phys. Rev. Lett.40, 697 (1978)
Grossmann, S.: Z. Physik A296, 251 (1980)
Riedel, C., Wolschin, G.: Z. Physik A294, 17 (1980)
Schmidt, R., Toneev, V.D., Wolschin, G.: Nucl. Phys. A311, 247 (1978)
Randrup, J.: Ann. Phys. (NY)112, 356 (1978); Nucl. Phys. A327, 490 (1979)
Beck, F., Dworzecka, M., Feldmaier, H.: Z. Physik A289, 113 (1978)
Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.Y.: Rev. Mod. Phys.44, 320 (1972)
Yamaji, S., Scheid, W., Fink, H.J., Greiner, W.: Z. Physik A278, 69 (1976)
Gupta, R.K.: Phys. Rev. C21, 1278 (1980)
Rehm, K.E.: Phys. Lett. B86, 260 (1979)
Rehm, K.E., Essel, H., Hartel, K., Kienle, P., Körner, H.J., Sperr, P., Wagner, W.: Phys. Lett. B86, 256 (1979)
Brosa, U., Krappe, H.J.: Z. Physik A284, 65 (1978)
Brosa, U., Gross, D.H.E.: Z. Physik A294, 217 (1980)
Hoffmann, H., Grégoire, C., Lucas, R., Ngô, C.: Z. Physik A293, 229 (1979)
Nix, J.R., Sierk, A.J.: Phys. Rev. C21, 396 (1980)
Holzwarth, G., Eckart, G.: Z. Physik A284, 291 (1978); Nucl. Phys. A325, 1 (1979)
Blaizot, J.P.: Phys. Lett. B78, 367 (1978)
Blocki, H., Boneh, Y., Nix, J.R., Randrup, J., Robel, M., Sierk, A.J., Swiatecki, W.J.: Ann. Phys. (NY)113, 330 (1978)
Freiesleben, H., Hildenbrand, K.D., Pühlhofer, F., Schneider, W.F.W., Bock, R., Harrach, D. v., Specht, H.J.: Z. Physik A292, 171 (1979)
Krappe, H.J.: Nucl. Phys. A269, 493 (1976)
Myers, W.D., Swiatecki, W.J.: Arkiv Fysik36, 343 (1967)
Nix, J.R.: Nucl. Phys. A130, 241 (1969)
Morse, P.M., Feshbach, H.: Methods of Theoretical Physics. Part II, p. 1292. New York: McGraw-Hill 1953
Werner, F.G., Wheeler, J.A.: (unpublished report, see [26])
Davies, K.T.R., Sierk, A.J., Nix, J.R.: Phys. Rev. C13, 2385 (1976)
Liu, K.F., Giai, N. van: Phys. Lett. B65, 23 (1976)
Youngblood, D.H., Moss, J.M., Rozsa, C.M., Bronson, J.D., Bacher, A.D., Brown, D.R.: Phys. Rev. C13, 994 (1976)
Wang, M.C., Uhlenbeck, G.E.: Rev. Mod. Phys.17, 323 (1945)
Becker, R.: Theorie der Wärme. Berlin, Heidelberg, New York: Springer, Berlin 1961
Stratonovitch, R.L.: Topics in the Theory of Random Noise I. New York: Gordon and Breach 1963
Formula (55) has been reported already by Wang and Uhlenbeck, see [29]
Schröder, W.U., Huizenga, J.R.: Annu. Rev. Nucl. Sci.27, 465 (1977)
Schröder, W.U., Birkelund, J.R., Huizenga, J.R., Wolf, K.L., Viola, V.E. (Jr.): Phys. Rep.45, 301 (1978)
Gross, D.H.E., Thoma, G.: Wissenschaftlicher Ergebnisbericht 1979. Bereich Kern- und Strahlenphysik, HMI-318, p. 12 (Berlin 1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grossmann, S., Krappe, H.J. Inertia effects in the mass transport of heavy ion reactions. Z Physik A 298, 41–53 (1980). https://doi.org/10.1007/BF01416027
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01416027