Summary
We discuss the self-similar behaviour of a system as small as an atomic nucleus which flows at Reynolds numbers larger than 10. We simulate the flow in a classical molecular approach which mimics the collision of two fast moving heavy ions and calculate high-order velocity structure functions to compare to data obtained in a fully developed turbulent flow at Reynolds numbers larger than 500. A comparison to the Kolmogorov theory and to the β-model is also given. We estimate the fractal dimensionD.
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References
Bonasera A. andCsernai L. P.,Phys. Rev. Lett.,59 (1987) 630.
McCauley J. L.,Chaos Dynamics and Fractals, inCambridge Nonlinear Science Series,2 (Cambridge University Press) 1993.
Lenk R. J., Schagel T. J. andPandharipande V. R.,Phys. Rev. C,42 (1990) 372Latora V., Belkacem M. andBonasera A.,Phys. Rev. Lett.,73 (1994) 1765.
Landau L. D. andLifshitz E. M.,Fluid Mechanics, 2nd edition, (Pergamong Press) 1987.
Kolmogorov A. N.,C. R. Acad. Sci. USSR,30, (1941) 301.
Menevau C. andSreenivasa K. R.,Phys. Rev. Lett.,59 (1987) 1424.
Anselmet F., Gagne Y., Hopfinger E. J. andAntonia R. A.,J. Fluid Mech., 140 (1984) 63.
Mandelbrot B.,The Fractal Geometry of Nature (Freeman, San Francisco) 1983.
Bonasera A., Gulminelli F. andMolitoris J.,Phys. Rep.,243 (1994) 1.
Nelkin M.,J. Stat. Phys.,54 (1989) 1;Paladin G. andVulpiani A.,Phys. Rep.,156 (1987) 147.
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Bonasera, A. Turbulence and self-similarity in finite systems. Nuov Cim A 109, 1405–1411 (1996). https://doi.org/10.1007/BF02780611
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DOI: https://doi.org/10.1007/BF02780611