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Erschienen in: Journal of Engineering Thermophysics 1/2020

01.02.2020

Statistical Signature of Vortex Filaments in Classical Turbulence: Dog or Tail?

verfasst von: S. K. Nemirovskii

Erschienen in: Journal of Engineering Thermophysics | Ausgabe 1/2020

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Abstract

The title of this paper echoes the title of a paragraph in the famous book by Frisch on classical turbulence. In the relevant chapter, the author discusses the role of the statistical dynamics of vortex filaments in the fascinating problem of turbulence and the possibility of a breakthrough in constructing an advanced theory. This aspect arose due to the large amount of evidence, both experimental and numerical, that the vorticity field in turbulent flows has a pronounced filamentary structure. In fact, there is unquestionably a strong relationship between the dynamics of chaotic vortex filaments and turbulent phenomena. However, the question arises as to whether the basic properties of turbulence (cascade, scaling laws, etc.) are a consequence of the dynamics of the vortex filaments (the `dog' concept) or the latter have only a marginal significance (the `tail' concept). Based on well-established results regarding the dynamics of quantized vortex filaments in superfluids, we illustrate how these dynamics can lead to the main elements of the theory of turbulence. We cover key topics such as the exchange of energy between different scales, the possible origin of Kolmogorov-type spectra, and the free decay behavior.

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Literatur
1.
Zurück zum Zitat Frisch, U., Turbulence, Cambridge: Cambridge Univ. Press, 1995. Frisch, U., Turbulence, Cambridge: Cambridge Univ. Press, 1995.
2.
Zurück zum Zitat Chorin, A., Vorticity and Turbulence, Applied Mathematical Sciences, Springer-Verlag, 1994. Chorin, A., Vorticity and Turbulence, Applied Mathematical Sciences, Springer-Verlag, 1994.
3.
Zurück zum Zitat Migdal, A.A., Fokker–Planck Vortex Equation, Vopr. Kib., 1986, p. 122. Migdal, A.A., Fokker–Planck Vortex Equation, Vopr. Kib., 1986, p. 122.
4.
Zurück zum Zitat Tsubota, M. and Kobayashi, M., Energy Spectra of Quantum Turbulence, in Progress in Low Temperature Physics: Quantum Turbulence, vol. 16, Elsevier, 2009, pp. 1–43. Tsubota, M. and Kobayashi, M., Energy Spectra of Quantum Turbulence, in Progress in Low Temperature Physics: Quantum Turbulence, vol. 16, Elsevier, 2009, pp. 1–43.
5.
Zurück zum Zitat Vincent, A. and Meneguzzi, M., The Spatial Structure and Statistical Properties of Homogeneous Turbulence, J. Fluid Mech., 1991, vol. 225, pp. 1–20. Vincent, A. and Meneguzzi, M., The Spatial Structure and Statistical Properties of Homogeneous Turbulence, J. Fluid Mech., 1991, vol. 225, pp. 1–20.
6.
Zurück zum Zitat Schwarz, K.W., Three-Dimensional Vortex Dynamics in Superfuid \(^{4}\)He: Homogeneous Superfluid Turbulence, Phys. Rev. B, 1988, vol. 38, no. 4, pp. 2398–2417. Schwarz, K.W., Three-Dimensional Vortex Dynamics in Superfuid \(^{4}\)He: Homogeneous Superfluid Turbulence, Phys. Rev. B, 1988, vol. 38, no. 4, pp. 2398–2417.
7.
Zurück zum Zitat Chorin, A.J., Vortex Methods and Vortex Motion, Philadelphia, PA: SIAM, 1991, p. 195. Chorin, A.J., Vortex Methods and Vortex Motion, Philadelphia, PA: SIAM, 1991, p. 195.
8.
Zurück zum Zitat Leonard, A., Vortex Methods for Flow Simulation, J. Comput. Phys., 1980, vol. 37, iss. 3, pp. 289–335. Leonard, A., Vortex Methods for Flow Simulation, J. Comput. Phys., 1980, vol. 37, iss. 3, pp. 289–335.
9.
Zurück zum Zitat Siggia, E.D., Collapse and Amplification of a Vortex Filament,Phys. Fluids, 1985, vol. 28, pp. 794–805. Siggia, E.D., Collapse and Amplification of a Vortex Filament,Phys. Fluids, 1985, vol. 28, pp. 794–805.
10.
Zurück zum Zitat Klein, R. and Majda, A.J., Self-Stretching of a Perturbed Vortex Filament I. The Asymptotic Equation for Deviations from a Straight Line, Phys. D: Nonlin. Phen., 1991, vol. 49, no. 3, pp. 323–353. Klein, R. and Majda, A.J., Self-Stretching of a Perturbed Vortex Filament I. The Asymptotic Equation for Deviations from a Straight Line, Phys. D: Nonlin. Phen., 1991, vol. 49, no. 3, pp. 323–353.
11.
Zurück zum Zitat Hansen, A. and Nelkin, M., Absence of Small-Scale Structure in Homogeneous Superfluid Turbulence, Phys. Rev. B, 1986, vol. 34, no. 7, pp. 4894–4896. Hansen, A. and Nelkin, M., Absence of Small-Scale Structure in Homogeneous Superfluid Turbulence, Phys. Rev. B, 1986, vol. 34, no. 7, pp. 4894–4896.
12.
Zurück zum Zitat Nemirovskii, S.K. and Fiszdon, W., Chaotic Quantized Vortices and Hydrodynamic Processes in Superfluid Helium, Rev. Mod. Phys., 1995, vol. 67, no. 1. pp. 37–84. Nemirovskii, S.K. and Fiszdon, W., Chaotic Quantized Vortices and Hydrodynamic Processes in Superfluid Helium, Rev. Mod. Phys., 1995, vol. 67, no. 1. pp. 37–84.
13.
Zurück zum Zitat Eyink, G.L. and Sreenivasan, K.R., Onsager and the Theory of Hydrodynamic Turbulence, Rev. Mod. Phys., 2006, vol. 78, pp. 87–135. Eyink, G.L. and Sreenivasan, K.R., Onsager and the Theory of Hydrodynamic Turbulence, Rev. Mod. Phys., 2006, vol. 78, pp. 87–135.
14.
Zurück zum Zitat Moffatt, H.K., Kida, S., and Ohkitani, K., Stretched Vortices—The Sinews of Turbulence; Large-Reynolds-Number Asymptotics,J. Fluid Mech., 1994, vol. 259, pp. 241–264. Moffatt, H.K., Kida, S., and Ohkitani, K., Stretched Vortices—The Sinews of Turbulence; Large-Reynolds-Number Asymptotics,J. Fluid Mech., 1994, vol. 259, pp. 241–264.
15.
Zurück zum Zitat Vinen, W.F., Classical Character of Turbulence in a Quantum Liquid, Phys. Rev. B, 2000, vol. 61, no. 2, pp. 1410–1420. Vinen, W.F., Classical Character of Turbulence in a Quantum Liquid, Phys. Rev. B, 2000, vol. 61, no. 2, pp. 1410–1420.
16.
Zurück zum Zitat Kobayashi, M. and Tsubota, M., Kolmogorov Spectrum of Superfluid Turbulence: Numerical Analysis of the Gross–Pitaevskii Equation with a Small-Scale Dissipation, Phys. Rev. Lett., 2005, vol. 94, no. 6, p. 065302. Kobayashi, M. and Tsubota, M., Kolmogorov Spectrum of Superfluid Turbulence: Numerical Analysis of the Gross–Pitaevskii Equation with a Small-Scale Dissipation, Phys. Rev. Lett., 2005, vol. 94, no. 6, p. 065302.
17.
Zurück zum Zitat Vinen, W., Quantum Turbulence: Achievements and Challenges,J. Low Temp. Phys., 2010, vol. 161, pp. 419–444. Vinen, W., Quantum Turbulence: Achievements and Challenges,J. Low Temp. Phys., 2010, vol. 161, pp. 419–444.
18.
Zurück zum Zitat Skrbek, L. and Sreenivasan, K.R., Developed Quantum Turbulence and Its Decay, Phys. Fluids., 2012, vol. 24, no. 1, p. 011301. Skrbek, L. and Sreenivasan, K.R., Developed Quantum Turbulence and Its Decay, Phys. Fluids., 2012, vol. 24, no. 1, p. 011301.
19.
Zurück zum Zitat Tsubota, M., Kobayashi, M., and Takeuchi, H., Quantum Hydrodynamics, Phys. Rep., 2013, vol. 522, no. 3, pp. 191–238. Tsubota, M., Kobayashi, M., and Takeuchi, H., Quantum Hydrodynamics, Phys. Rep., 2013, vol. 522, no. 3, pp. 191–238.
20.
Zurück zum Zitat Barenghi, C.F., Skrbek, L., and Sreenivasan, K.R., Introduction to Quantum Turbulence, Procs. Nat. Acad. Sci., 2014, vol. 111, no. 1, pp. 4647–4652. Barenghi, C.F., Skrbek, L., and Sreenivasan, K.R., Introduction to Quantum Turbulence, Procs. Nat. Acad. Sci., 2014, vol. 111, no. 1, pp. 4647–4652.
21.
Zurück zum Zitat Walmsley, P.M., Golov, A.I., Hall, H.E., Levchenko, A.A., and Vinen, W.F., Dissipation of Quantum Turbulence in the Zero Temperature Limit, Phys. Rev. Lett., 2007, vol. 99, p. 265302. Walmsley, P.M., Golov, A.I., Hall, H.E., Levchenko, A.A., and Vinen, W.F., Dissipation of Quantum Turbulence in the Zero Temperature Limit, Phys. Rev. Lett., 2007, vol. 99, p. 265302.
22.
Zurück zum Zitat Kleinert, H., Gauge Fields in Condenced Matter Physics, Singapore: World Scientific, 1990. Kleinert, H., Gauge Fields in Condenced Matter Physics, Singapore: World Scientific, 1990.
23.
Zurück zum Zitat Nemirovskii, S.K., Gaussian Model of Vortex Tangle in He II,Phys. Rev. B, 1998, vol. 57, no. 10, pp. 5972–5986. Nemirovskii, S.K., Gaussian Model of Vortex Tangle in He II,Phys. Rev. B, 1998, vol. 57, no. 10, pp. 5972–5986.
24.
Zurück zum Zitat Nemirovskii, S.K., Evolution of a Network of Vortex Loops in He-II: Exact Solution of the Rate Equation, 2006, Phys. Rev. Lett., vol. 96, no. 1, p. 015301. Nemirovskii, S.K., Evolution of a Network of Vortex Loops in He-II: Exact Solution of the Rate Equation, 2006, Phys. Rev. Lett., vol. 96, no. 1, p. 015301.
25.
Zurück zum Zitat Nemirovskii, S.K., Kinetics of a Network of Vortex Loops in He II and a Theory of Superfluid Turbulence, Phys. Rev. B, 2008, vol. 77, no. 21, p. 214509. Nemirovskii, S.K., Kinetics of a Network of Vortex Loops in He II and a Theory of Superfluid Turbulence, Phys. Rev. B, 2008, vol. 77, no. 21, p. 214509.
26.
Zurück zum Zitat Nemirovskii, S.K., Quantum Turbulence: Theoretical and Numerical Problems, Phys. Rep., 2013, vol. 524, no. 3, pp. 85–202. Nemirovskii, S.K., Quantum Turbulence: Theoretical and Numerical Problems, Phys. Rep., 2013, vol. 524, no. 3, pp. 85–202.
27.
Zurück zum Zitat Zakharov, V.E., L’vov, V.S., and Falkovich, G.,Kolmogorov Spectra of Turbulence I, Berlin: Springer-Verlag, 1992. Zakharov, V.E., L’vov, V.S., and Falkovich, G.,Kolmogorov Spectra of Turbulence I, Berlin: Springer-Verlag, 1992.
28.
Zurück zum Zitat Feynman, R.P., Progress in Low Temperature Physics, vol. 1, Gorter, C.J., Ed., Amsterdam: North-Holland, 1955, p. 17. Feynman, R.P., Progress in Low Temperature Physics, vol. 1, Gorter, C.J., Ed., Amsterdam: North-Holland, 1955, p. 17.
29.
Zurück zum Zitat Schwarz, K.W., Turbulence in Superfluid Helium: Steady Homogeneous Counterflow, Phys. Rev. B, 1978, vol. 18, no. 1, pp. 245–262. Schwarz, K.W., Turbulence in Superfluid Helium: Steady Homogeneous Counterflow, Phys. Rev. B, 1978, vol. 18, no. 1, pp. 245–262.
30.
Zurück zum Zitat Nemirovskii, S. and Baltsevich, A., Stochastic Dynamics of a Vortex Loop. Large-Scale Stirring Force, Lect. Notes Phys., 2001, vol. 571, pp. 219–225. Nemirovskii, S. and Baltsevich, A., Stochastic Dynamics of a Vortex Loop. Large-Scale Stirring Force, Lect. Notes Phys., 2001, vol. 571, pp. 219–225.
31.
Zurück zum Zitat Nemirovskii, S.K., Pakleza, J., and Poppe, W., Notes et Documents LIMSI (Laboratoire d’Informatique pour la Mecanique et les Sciences de l’Ingenieur), No. 91-14, 1991. Nemirovskii, S.K., Pakleza, J., and Poppe, W., Notes et Documents LIMSI (Laboratoire d’Informatique pour la Mecanique et les Sciences de l’Ingenieur), No. 91-14, 1991.
32.
Zurück zum Zitat Wyld, H.W., Formulation of the Theory of Turbulence in an Incompressible Fluid, Ann. Phys., 1961, vol. 14, pp. 143–165. Wyld, H.W., Formulation of the Theory of Turbulence in an Incompressible Fluid, Ann. Phys., 1961, vol. 14, pp. 143–165.
33.
Zurück zum Zitat Araki, T., Tsubota, M., and Nemirovskii, S.K., Energy Spectrum of Superfluid Turbulence with no Normal-Fluid Component, Phys. Rev. Lett., 2002, vol. 89, no. 14, p. 145301. Araki, T., Tsubota, M., and Nemirovskii, S.K., Energy Spectrum of Superfluid Turbulence with no Normal-Fluid Component, Phys. Rev. Lett., 2002, vol. 89, no. 14, p. 145301.
34.
Zurück zum Zitat Kivotides, D., Vassilicos, C.J., Samuels, D.C., and Barenghi, C.F., Velocity Spectra of Superfluid Turbulence, EPL (Europhysics Letters), 2002, vol. 57, no. 6, p. 845. Kivotides, D., Vassilicos, C.J., Samuels, D.C., and Barenghi, C.F., Velocity Spectra of Superfluid Turbulence, EPL (Europhysics Letters), 2002, vol. 57, no. 6, p. 845.
35.
Zurück zum Zitat Kivotides, D., Barenghi, C.F., and Samuels, D.C., Superfluid Vortex Reconnections at Finite Temperature, Europhys. Lett., 2001, vol. 54, p. 774. Kivotides, D., Barenghi, C.F., and Samuels, D.C., Superfluid Vortex Reconnections at Finite Temperature, Europhys. Lett., 2001, vol. 54, p. 774.
36.
Zurück zum Zitat Procaccia, I. and Sreenivasan, K., The State of the Art in Hydrodynamic Turbulence: Past Successes and Future Challenges,Phys. D: Nonlin. Phenom., 2008, vol. 237, nos. 14–17, pp. 2167–2183. Procaccia, I. and Sreenivasan, K., The State of the Art in Hydrodynamic Turbulence: Past Successes and Future Challenges,Phys. D: Nonlin. Phenom., 2008, vol. 237, nos. 14–17, pp. 2167–2183.
37.
Zurück zum Zitat Nore, C., Abid, M., and Brachet, M.E., Kolmogorov Turbulence in Low-Temperature Superflows, Phys. Rev. Lett., 1997, vol. 78, no. 20, pp. 3896–3899. Nore, C., Abid, M., and Brachet, M.E., Kolmogorov Turbulence in Low-Temperature Superflows, Phys. Rev. Lett., 1997, vol. 78, no. 20, pp. 3896–3899.
38.
Zurück zum Zitat Nore, C., Abid, M., and Brachet, M.E., Decaying Kolmogorov Turbulence in a Model of Superflow, Phys. Fluids, 1997, vol. 9, p. 2644. Nore, C., Abid, M., and Brachet, M.E., Decaying Kolmogorov Turbulence in a Model of Superflow, Phys. Fluids, 1997, vol. 9, p. 2644.
39.
Zurück zum Zitat Sasa, N., Kano, T., Machida, M., L’vov, V.S., Rudenko, O., and Tsubota, M., Energy Spectra of Quantum Turbulence: Large-Scale Simulation and Modeling, Phys. Rev. B, 2011, vol. 84, p. 054525. Sasa, N., Kano, T., Machida, M., L’vov, V.S., Rudenko, O., and Tsubota, M., Energy Spectra of Quantum Turbulence: Large-Scale Simulation and Modeling, Phys. Rev. B, 2011, vol. 84, p. 054525.
40.
Zurück zum Zitat Nemirovskii, S.K., Reconnection of Quantized Vortex Filaments and the Kolmogorov Spectrum, Phys. Rev. B, 2014, vol. 90, no. 10, p. 104506. Nemirovskii, S.K., Reconnection of Quantized Vortex Filaments and the Kolmogorov Spectrum, Phys. Rev. B, 2014, vol. 90, no. 10, p. 104506.
41.
Zurück zum Zitat Nemirovskii, S.K., Tsubota, M., and Araki, T., Energy Spectrum of the Random Velocity Field Induced by a Gaussian Vortex Tangle in He II, J. Low Temp. Phys., 2002, vol. 126, pp. 1535–1540. Nemirovskii, S.K., Tsubota, M., and Araki, T., Energy Spectrum of the Random Velocity Field Induced by a Gaussian Vortex Tangle in He II, J. Low Temp. Phys., 2002, vol. 126, pp. 1535–1540.
42.
Zurück zum Zitat Kondaurova, L. and Nemirovskii, S.K., Full Biot–Savart Numerical Simulation of Vortices in He II, J. Low Temp. Phys., 2005, vol. 138, pp. 555–560. Kondaurova, L. and Nemirovskii, S.K., Full Biot–Savart Numerical Simulation of Vortices in He II, J. Low Temp. Phys., 2005, vol. 138, pp. 555–560.
43.
Zurück zum Zitat Nemirovskii, S., Energy Spectrum of the 3D Velocity Field, Induced by Vortex Tangle, J. Low Temp. Phys., 2013, vol. 171, nos. 5, 6, pp. 504–510. Nemirovskii, S., Energy Spectrum of the 3D Velocity Field, Induced by Vortex Tangle, J. Low Temp. Phys., 2013, vol. 171, nos. 5, 6, pp. 504–510.
44.
Zurück zum Zitat de Waele, A.T. and Aarts, R.G., Route to Vortex Reconnection,Phys. Rev. Lett., 1994, vol. 72, no. 4, pp. 482–485. de Waele, A.T. and Aarts, R.G., Route to Vortex Reconnection,Phys. Rev. Lett., 1994, vol. 72, no. 4, pp. 482–485.
45.
Zurück zum Zitat Kuznetsov, E. and Ruban, V., Collapse of Vortex Lines in Hydrodynamics, J. Exp. Theor. Phys., 2000, vol. 91, no. 4, pp. 775–785. Kuznetsov, E. and Ruban, V., Collapse of Vortex Lines in Hydrodynamics, J. Exp. Theor. Phys., 2000, vol. 91, no. 4, pp. 775–785.
46.
Zurück zum Zitat Kerr, R.M., Swirling, Turbulent Vortex Rings Formed from a Chain Reaction of Reconnection Events, Phys. Fluids, 2013, vol. 25, no. 6, p. 065101. Kerr, R.M., Swirling, Turbulent Vortex Rings Formed from a Chain Reaction of Reconnection Events, Phys. Fluids, 2013, vol. 25, no. 6, p. 065101.
47.
Zurück zum Zitat Boué, L., Khomenko, D., L’vov, V.S., and Procaccia, I., Analytic Solution of the Approach of Quantum Vortices towards Reconnection, Phys. Rev. Lett., 2013, vol. 111, p. 145302. Boué, L., Khomenko, D., L’vov, V.S., and Procaccia, I., Analytic Solution of the Approach of Quantum Vortices towards Reconnection, Phys. Rev. Lett., 2013, vol. 111, p. 145302.
48.
Zurück zum Zitat Andryushchenko, V.A., Kondaurova, L.P., and Nemirovskii, S.K., Dynamics of Nonplanar Quantized Vortex Rings before Reconnection at Finite Temperatures, J. Low Temp. Phys., 2017, vol. 187, no. 5, pp. 523–530. Andryushchenko, V.A., Kondaurova, L.P., and Nemirovskii, S.K., Dynamics of Nonplanar Quantized Vortex Rings before Reconnection at Finite Temperatures, J. Low Temp. Phys., 2017, vol. 187, no. 5, pp. 523–530.
49.
Zurück zum Zitat Fedoryuk, M.V., Metod perevala (The Saddle-Point Method), Moscow: Nauka, 1977. Fedoryuk, M.V., Metod perevala (The Saddle-Point Method), Moscow: Nauka, 1977.
50.
Zurück zum Zitat Bustamante, M.D. and Kerr, R.M., 3D Euler about a 2D Symmetry Plane, Phys. D: Nonlin. Phen., 2008, vol. 237, nos. 14–17, pp. 1912–1920. Bustamante, M.D. and Kerr, R.M., 3D Euler about a 2D Symmetry Plane, Phys. D: Nonlin. Phen., 2008, vol. 237, nos. 14–17, pp. 1912–1920.
51.
Zurück zum Zitat Kivotides, D., Vassilicos, J.C., Samuels, D.C., and Barenghi, C.F., Kelvin Waves Cascade in Superfluid Turbulence, Phys. Rev. Lett., 2001, vol. 86, no. 14, pp. 3080–3083. Kivotides, D., Vassilicos, J.C., Samuels, D.C., and Barenghi, C.F., Kelvin Waves Cascade in Superfluid Turbulence, Phys. Rev. Lett., 2001, vol. 86, no. 14, pp. 3080–3083.
52.
Zurück zum Zitat L’vov, V., Nazarenko, S., and Rudenko, O., Gradual Eddy-Wave Crossover in Superfluid Turbulence, J. Low Temp. Phys., 2008, vol. 153, p. 140. L’vov, V., Nazarenko, S., and Rudenko, O., Gradual Eddy-Wave Crossover in Superfluid Turbulence, J. Low Temp. Phys., 2008, vol. 153, p. 140.
53.
Zurück zum Zitat L’vov, V.S., Nazarenko, S.V., and Rudenko, O., Bottleneck Crossover between Classical and Quantum Superfluid Turbulence,Phys. Rev. B, 2007, vol. 76, p. 024520. L’vov, V.S., Nazarenko, S.V., and Rudenko, O., Bottleneck Crossover between Classical and Quantum Superfluid Turbulence,Phys. Rev. B, 2007, vol. 76, p. 024520.
54.
Zurück zum Zitat Boué, L., Dasgupta, R., Laurie, J., L’vov, V., Nazarenko, S., and Procaccia, I., Phys. Rev. B, 2011, vol. 84, p. 064516. Boué, L., Dasgupta, R., Laurie, J., L’vov, V., Nazarenko, S., and Procaccia, I., Phys. Rev. B, 2011, vol. 84, p. 064516.
55.
Zurück zum Zitat Svistunov, B.V., Superfluid Turbulence in the Low-Temperature Limit, Phys. Rev. B, 1995, vol. 52, no. 5, pp. 3647–3653. Svistunov, B.V., Superfluid Turbulence in the Low-Temperature Limit, Phys. Rev. B, 1995, vol. 52, no. 5, pp. 3647–3653.
56.
Zurück zum Zitat Kozik, E. and Svistunov, B., Kelvin-Wave Cascade and Decay of Superfluid Turbulence, Phys. Rev. Lett., 2004, vol. 92, no. 3, p. 035301. Kozik, E. and Svistunov, B., Kelvin-Wave Cascade and Decay of Superfluid Turbulence, Phys. Rev. Lett., 2004, vol. 92, no. 3, p. 035301.
57.
Zurück zum Zitat Kozik, E. and Svistunov, B., Scale-Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade, Phys. Rev. Lett., 2005, vol. 94, no. 2, p. 025301. Kozik, E. and Svistunov, B., Scale-Separation Scheme for Simulating Superfluid Turbulence: Kelvin-Wave Cascade, Phys. Rev. Lett., 2005, vol. 94, no. 2, p. 025301.
58.
Zurück zum Zitat Kozik, E. and Svistunov, B., Theory of Decay of Superfluid Turbulence in the Low-Temperature Limit, J. Low Temp. Phys., 2009, vol. 156, pp. 215–267. Kozik, E. and Svistunov, B., Theory of Decay of Superfluid Turbulence in the Low-Temperature Limit, J. Low Temp. Phys., 2009, vol. 156, pp. 215–267.
59.
Zurück zum Zitat Kozik, E. and Svistunov, B., Geometric Symmetries in Superfluid Vortex Dynamics, Phys. Rev. B, 2010, vol. 82, no. 14, p. 140510. Kozik, E. and Svistunov, B., Geometric Symmetries in Superfluid Vortex Dynamics, Phys. Rev. B, 2010, vol. 82, no. 14, p. 140510.
60.
Zurück zum Zitat Laurie, J., L’vov, V.S., Nazarenko, S., and Rudenko, O.,Phys. Rev. B, 2010, vol. 81, no. 10, p. 104526. Laurie, J., L’vov, V.S., Nazarenko, S., and Rudenko, O.,Phys. Rev. B, 2010, vol. 81, no. 10, p. 104526.
61.
Zurück zum Zitat Lebedev, V. and L’vov, V., Symmetries and Interaction Coefficients of Kelvin Waves, J. Low Temp. Phys., 2010, vol. 161, pp. 548–554. Lebedev, V. and L’vov, V., Symmetries and Interaction Coefficients of Kelvin Waves, J. Low Temp. Phys., 2010, vol. 161, pp. 548–554.
62.
Zurück zum Zitat Nazarenko, S., Private communication, 2013. Nazarenko, S., Private communication, 2013.
63.
Zurück zum Zitat Bradley, D.I., Clubb, D.O., Fisher, S.N., Guénault, A.M., Haley, R.P., Matthews, C.J., Pickett, G.R., Tsepelin, V., and Zaki, K., Phys. Rev. Lett., 2006, vol. 96, no. 3, p. 035301. Bradley, D.I., Clubb, D.O., Fisher, S.N., Guénault, A.M., Haley, R.P., Matthews, C.J., Pickett, G.R., Tsepelin, V., and Zaki, K., Phys. Rev. Lett., 2006, vol. 96, no. 3, p. 035301.
64.
Zurück zum Zitat Kondaurova, L. and Nemirovskii, S.K., Numerical Study of Decay of Vortex Tangles in Superfluid Helium at Zero Temperature,Phys. Rev. B, 2012, vol. 86, p. 134506. Kondaurova, L. and Nemirovskii, S.K., Numerical Study of Decay of Vortex Tangles in Superfluid Helium at Zero Temperature,Phys. Rev. B, 2012, vol. 86, p. 134506.
65.
Zurück zum Zitat Nemirovskii, S.K., Diffusion of Inhomogeneous Vortex Tangle and Decay of Superfluid Turbulence, Phys. Rev. B, 2010, vol. 81, no. 6, p. 064512. Nemirovskii, S.K., Diffusion of Inhomogeneous Vortex Tangle and Decay of Superfluid Turbulence, Phys. Rev. B, 2010, vol. 81, no. 6, p. 064512.
66.
Zurück zum Zitat Kondaurova, L., Andryuschenko, V., and Nemirovskii, S., Numerical Simulations of Superfluid Turbulence under Periodic Conditions, J. Low Temp. Phys., 2008, vol. 150, pp. 415–419. Kondaurova, L., Andryuschenko, V., and Nemirovskii, S., Numerical Simulations of Superfluid Turbulence under Periodic Conditions, J. Low Temp. Phys., 2008, vol. 150, pp. 415–419.
Metadaten
Titel
Statistical Signature of Vortex Filaments in Classical Turbulence: Dog or Tail?
verfasst von
S. K. Nemirovskii
Publikationsdatum
01.02.2020
Verlag
Pleiades Publishing
Erschienen in
Journal of Engineering Thermophysics / Ausgabe 1/2020
Print ISSN: 1810-2328
Elektronische ISSN: 1990-5432
DOI
https://doi.org/10.1134/S1810232820010026

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