Abstract
A numerical test is made of the Gaussian approximation to the Fokker-Planck equation for a Hamiltonian with two degrees of freedom and potentials and friction coefficients appropriate for the description of the deep inelastic collision of the system40Ar+232Th atE lab=279 MeV. The exact solution is constructed with the Langevin's simulation method. The failure of the gaussian approximation is discussed and we exhibit separately its sources from (i) diffusion coefficients, the linearization (ii) of the potentials and (iii) of the friction forces.
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References
Brosa, U.: Z. Phys. A — Atoms and Nuclei298, 77 (1980)
Brosa, U., Cassing, W.: Z., Phys. A — Atoms and Nuclei307, 167 (1982)
Wang, M.C., Uhlenbeck, G.E.: Rev. Mod. Phys.17, 323 (1945)
Hofmann, H., Siemens, P.J.: Nucl. Phys. A275, 464 (1977)
Feldmeier, H., Spangenberger, H.: Nucl. Phys. A435, (1985) 229
Riedel, C., Wolschin, G.: Z. Phys. A — Atoms and Nuclei294, 17 (1980)
Chandrasekhar, S.: Rev. Mod. Phys.15, 1 (1943)
Parisi, G., Yongshi, Wu: Sci. Sin.24, 483 (1981)
Batrouni, G.G.: Nucl. Phys. A461, 351c (1987)
Barbosa, V.C., Soares, P.C., Oliveira, E.C., Gomes, L.C.: Rev. Bras. Fis.15, 211 (1985)
Abe, Y., Grégoire, C., Delagrange, H.: Yukawa Hall Kyoto, RIFP-659 (1986)
Gross, D.H.E., Kalinowski, H.: Phys. Rep.45, 175 (1978)
Wilczynski, J.: Phys. Lett.47B, 484 (1973)
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Partially supported by FAPESP
One of us (L.C. Gomes) would like to thank Prof. Oscar Sala for the hospitality extended to him during his stay at the Pelletron Laboratory.
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Pato, M.P., Oliveira, E.C. & Gomes, L.C. A comparison of the Gaussian approximation and Langevin's simulation in DIC. Z. Physik A - Atomic Nuclei 329, 189–193 (1988). https://doi.org/10.1007/BF01283774
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DOI: https://doi.org/10.1007/BF01283774