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Volumn 34, Issue 2 A, 2004, Pages 337-346

Fractal rain distributions and chaotic advection

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EID: 2942677498     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332004000300002     Document Type: Conference Paper
Times cited : (9)

References (54)
  • 16
    • 2942669935 scopus 로고    scopus 로고
    • See Chs. 12 and 13 of [7] and references therein
    • See Chs. 12 and 13 of [7] and references therein.
  • 20
    • 2942672112 scopus 로고    scopus 로고
    • See http://w3.gkss.de/baltex/ for information on the BALTEX project.
  • 21
    • 2942695751 scopus 로고    scopus 로고
    • note
    • The literature on fractal rain distributions is extensive; for a bibliography see [18].
  • 31
    • 2942695749 scopus 로고    scopus 로고
    • note
    • The sandpile model studied in [28] involves rather specific assumptions regarding stability, breakup and coalescence of raindrops. Moreover, it yields non-power-law distributions for rain event sizes and interevent durations. It does however yield a power-law distribution for "internal avalanches" (those not leading to rainfall) with an exponent τ ≃ 4/3, rather close to that found by Peters et al.
  • 34
    • 4243736448 scopus 로고    scopus 로고
    • A. Vespignani and S. Zapperi, Phys. Rev. Lett. 78, 4793 (1997); Phys. Rev. E 57, 6345 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 6345
  • 39
    • 2942647950 scopus 로고    scopus 로고
    • note
    • The incompressibility condition should be well satisfied since the velocities of interest are small compared to the speed of sound.
  • 44
    • 2942661364 scopus 로고    scopus 로고
    • note
    • Further details and extensive references on systems of point vortices may be found in Ref. [14].
  • 45
    • 0019077452 scopus 로고
    • H. Aref and E. D. Siggia, J. Fluid Mech. 100, 705 (1980); E. D. Siggia and H. Aref, Phys. Fluids 24, 171 (1981).
    • (1980) J. Fluid Mech. , vol.100 , pp. 705
    • Aref, H.1    Siggia, E.D.2
  • 46
    • 0001099620 scopus 로고
    • H. Aref and E. D. Siggia, J. Fluid Mech. 100, 705 (1980); E. D. Siggia and H. Aref, Phys. Fluids 24, 171 (1981).
    • (1981) Phys. Fluids , vol.24 , pp. 171
    • Siggia, E.D.1    Aref, H.2
  • 48
    • 36849114603 scopus 로고
    • 1417
    • R. H. Kraichnan and D. Montgomery, Rep. Prog. Phys. 43, 35 (1980); R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
    • (1967) Phys. Fluids , vol.10
    • Kraichnan, R.H.1
  • 50
    • 2942691442 scopus 로고    scopus 로고
    • note
    • It would be of interest to study other initial configurations, for example, one approximating a vortex sheet, which should then suffer a Kelvin-Helmholtz instability. The periodic boundaries might also be removed, allowing the vortex system to attain its natural, unconstrained size.
  • 53
    • 0038516810 scopus 로고    scopus 로고
    • Scaling properties of solar magnetic bursts have also been studied in the SOC context. See D. Hughes et al., Phys. Rev. Lett 90, 131101 (2003).
    • (2003) Phys. Rev. Lett , vol.90 , pp. 131101
    • Hughes, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.