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Volumn 56, Issue 6, 1997, Pages 6435-6442

Analogy between scale symmetry and relativistic mechanics. II. Electric analog of turbulence

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EID: 0041818868     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6435     Document Type: Article
Times cited : (7)

References (36)
  • 4
    • 85037201253 scopus 로고    scopus 로고
    • B. Dubrulle, F.-M. Bréon, F. Graner, and A. Pocheau, Phys. Rev. Lett. (to be published)
    • B. Dubrulle, F.-M. Bréon, F. Graner, and A. Pocheau, Phys. Rev. Lett. (to be published).
  • 7
    • 0030399127 scopus 로고    scopus 로고
    • B Dubrulle, J. Phys. (France) II 6, 1825 (1996).
    • (1996) J. Phys. (France) II , vol.6 , pp. 1825
  • 18
    • 85037177547 scopus 로고    scopus 로고
    • the formalism of the companion paper, the log-normal case is simply the non-relativistic case, obtained in the limit of infinite (Formula presented) and (Formula presented) The composition law for exponents is Galilean, i.e., is simply an addition; the Dynamics is Newtonian-like, see below. The log-Poisson case would not be so trivial; see the Appendix
    • In the formalism of the companion paper, the log-normal case is simply the non-relativistic case, obtained in the limit of infinite (Formula presented) and (Formula presented) The composition law for exponents is Galilean, i.e., is simply an addition; the Dynamics is Newtonian-like, see below. The log-Poisson case would not be so trivial; see the Appendix.
  • 19
    • 85037196704 scopus 로고    scopus 로고
    • Again, think of the analogy with relativity: special relativity selects Maxwell’s as the interaction which respects the symmetries; the dynamical equation (Formula presented) is still valid even in the nonrelativistic (Formula presented) limit
    • Again, think of the analogy with relativity: special relativity selects Maxwell’s as the interaction which respects the symmetries; the dynamical equation (Formula presented) is still valid even in the nonrelativistic (Formula presented) limit.
  • 21
    • 85037226484 scopus 로고    scopus 로고
    • this constrains (Formula presented) to be positive. Here the argument is less clear. In three-dimensional fully developed turbulence, the upper cutoff plays the role of the initial condition. In other types of turbulence, why not accept a negative σ, e.g., when the effective viscosity is negative and energy cascades toward large scales? More generally, σ<0 for any problem where the physically relevent length scale is the lower cutoff
    • this constrains (Formula presented) to be positive. Here the argument is less clear. In three-dimensional fully developed turbulence, the upper cutoff plays the role of the initial condition. In other types of turbulence, why not accept a negative σ, e.g., when the effective viscosity is negative and energy cascades toward large scales? More generally, σ<0 for any problem where the physically relevent length scale is the lower cutoff.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.