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Volumn 57, Issue 5, 1998, Pages 5044-5052

Sensitivity of ballistic deposition to pseudorandom number generators

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CORRELATION METHODS; DYNAMICS; GROWTH (MATERIALS); MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE SPACE METHODS; PROBABILITY; RANDOM NUMBER GENERATION; RANDOM PROCESSES; STATISTICAL METHODS;

EID: 0032074217     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5044     Document Type: Article
Times cited : (28)

References (30)
  • 1
    • 85036249501 scopus 로고    scopus 로고
    • See, e.g., Scale Invariance, Interfaces, and Non-equilibrium Dynamics, edited by A. McKane, M. Droz, J. Vannimenus, and D. Wolf (Plenum, New York, 1995)
    • See, e.g., Scale Invariance, Interfaces, and Non-equilibrium Dynamics, edited by A. McKane, M. Droz, J. Vannimenus, and D. Wolf (Plenum, New York, 1995).
  • 4
    • 0004192587 scopus 로고
    • World Scientific, Singapore, F. Family, T. Vicsek
    • For recent reviews, see, e.g., Dynamics of Fractal Surfaces, edited by F. Family and T. Vicsek (World Scientific, Singapore, 1991)
    • (1991) Dynamics of Fractal Surfaces
  • 15
    • 85036408603 scopus 로고    scopus 로고
    • Gnu C Library, Sun Release 4.1. Original code is copyright Regents of the University of California, 1983
    • Gnu C Library, Sun Release 4.1. Original code is copyright Regents of the University of California, 1983.
  • 22
    • 85036314929 scopus 로고    scopus 로고
    • W. Feller, Introduction to Probability and Statistics, Vol. 1 (John Wiley & Sons, Inc., New York, 1957)
    • W. Feller, Introduction to Probability and Statistics, Vol. 1 (John Wiley & Sons, Inc., New York, 1957)
  • 24
    • 0003172851 scopus 로고
    • “Student,”Biometrika 6, 1 (1908)
    • (1908) Biometrika , vol.6 , pp. 1
  • 27
    • 85036346622 scopus 로고    scopus 로고
    • Note that the data set plotted in Fig. 44 is the set with the smallest asymptotic mean [Formula Presented]. However, two additional data sets obtained with random() have asymptotic means below [Formula Presented]. We choose to plot the set shown in Fig. 44 as it was the first set obtained; as such we are consistent in comparing results with ran2(), where only one data set was generated
    • Note that the data set plotted in Fig. 44 is the set with the smallest asymptotic mean (〈ξL2¯〉M=33.05±1.31). However, two additional data sets obtained with random() have asymptotic means below 34.0. We choose to plot the set shown in Fig. 44 as it was the first set obtained; as such we are consistent in comparing results with ran2(), where only one data set was generated.
  • 29
    • 85036134735 scopus 로고    scopus 로고
    • The theoretical fits discussed in Sec. III A are not precise enough to provide accurate measures of the cumulants of the empirical distribution function. Hence, the distribution for longer lengths cannot be assumed to be accurately described by a corresponding theoretical curve. Sampling sufficient data points to establish the empirical asymptotic distribution for the longer lengths is beyond the scope and intent of this manuscript
    • The theoretical fits discussed in Sec. III A are not precise enough to provide accurate measures of the cumulants of the empirical distribution function. Hence, the distribution for longer lengths cannot be assumed to be accurately described by a corresponding theoretical curve. Sampling sufficient data points to establish the empirical asymptotic distribution for the longer lengths is beyond the scope and intent of this manuscript.


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