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Volumn 387, Issue 10, 2008, Pages 2267-2278

Corrigendum to: "Numerical irreversibility in self-gravitating small N-body systems" [Physica A 387 (2008) 2267-2278] (DOI:10.1016/j.physa.2007.12.012);Numerical irreversibility in self-gravitating small N-body systems

Author keywords

Irreversibility; N body simulation; Round off errors; Self gravitating system

Indexed keywords

COMPUTER SIMULATION; ELECTRON ENERGY LEVELS; GRAVITATION; PROBLEM SOLVING;

EID: 39149113801     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.12.056     Document Type: Erratum
Times cited : (8)

References (73)
  • 1
    • 39149087440 scopus 로고    scopus 로고
    • V.A. Antonov, in: J. Goodman, P. Hut (Eds.), Dynamics of Globular Clusters, IAU Symposium No. 113, (Reidel, Dordrecht, 1985); Vestn. Lening. Gos. Univ. 7 (1962) 135
    • V.A. Antonov, in: J. Goodman, P. Hut (Eds.), Dynamics of Globular Clusters, IAU Symposium No. 113, (Reidel, Dordrecht, 1985); Vestn. Lening. Gos. Univ. 7 (1962) 135
  • 58
    • 39149116437 scopus 로고    scopus 로고
    • N. Komatsu, et al., Proc. of Int. Conf. Comput. Method, ICCM2007, G4-11, pp. 91, Hiroshima, Japan, 2007. The Eighteenth International Symposium on Transport Phenomena, ISTP18-83, pp. 2031-2036, Daejeon, Korea, 2007
    • N. Komatsu, et al., Proc. of Int. Conf. Comput. Method, ICCM2007, G4-11, pp. 91, Hiroshima, Japan, 2007. The Eighteenth International Symposium on Transport Phenomena, ISTP18-83, pp. 2031-2036, Daejeon, Korea, 2007
  • 65
    • 39149088722 scopus 로고    scopus 로고
    • note
    • coll = - 0.335.
  • 66
    • 39149129150 scopus 로고    scopus 로고
    • note
    • In several cases, the results are averaged over approximately 100 simulations, at least more than 88 simulations.
  • 67
    • 39149140141 scopus 로고    scopus 로고
    • note
    • In general, to make a non-equilibrium behavior visible, Boltzmann's H-function or the Boltzmann-Gibbs entropy has been employed. However, in systems with long-range interactions, the H-function is not suitable for observing the non-equilibrium behavior, because the potential energy varies temporally. Moreover, in those systems, it is difficult to discuss the thermodynamics or the Boltzmann-Gibbs statistical mechanics in the standard formalism, due to the long-range interactions and to their nonadditivity, since the Newtonian potential is singular and has infinite range. Note that, for preparing the present initial density profile, we employ the result obtained from the mean field theory which assumes the Boltzmann-Gibbs entropy. This is because we consider a closed spherical system with a reflecting wall; i.e., the present system is confined in a finite volume.
  • 68
    • 39149100725 scopus 로고    scopus 로고
    • note
    • This doesn't mean the ratio of velocity moments is the most suitable for observing the non-equilibrium behavior.
  • 69
    • 39149103162 scopus 로고    scopus 로고
    • note
    • This is because, if a particle reaches a reflecting wall, the radial component of the velocity is suddenly reversed and the particle position is changed.
  • 71
    • 39149116100 scopus 로고    scopus 로고
    • astro-ph/0404251v1
    • Chavanis P.H. astro-ph/0404251v1
    • Chavanis, P.H.1
  • 73
    • 39149106208 scopus 로고    scopus 로고
    • note
    • A finite difference method, such as Verlet's algorithm, incurs two types of errors: truncation errors and round-off errors [72]. That is, global errors in total energy are composed of truncation errors and round-off errors. In the present simulation, the global errors are dominated by truncation errors and, therefore, the global errors decrease with decreasing Δ t. However, for a smaller time increment, the global errors are dominated by round-off errors.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.