Abstract:
We perform a study of the evolution of helical quantum turbulence at different temperatures by solving numerically the Gross-Pitaevskii and the stochastic Ginzburg-Landau equations, using up to 40963 grid points with a pseudospectral method. We show that for temperatures close to the critical one, the fluid described by these equations can act as a classical viscous flow, with the decay of the incompressible kinetic energy and the helicity becoming exponential. The transition from this behavior to the one observed at zero temperature is smooth as a function of temperature. Moreover, the presence of strong thermal effects can inhibit the development of a proper turbulent cascade. We provide Ansätze for the effective viscosity and friction as a function of the temperature. © 2018 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Finite-temperature effects in helical quantum turbulence |
Autor: | Clark Di Leoni, P.; Mininni, P.D.; Brachet, M.E. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, Rome, 00133, Italy Laboratoire de Physique Statistique, Ecole Normale Supérieure Associé Au, CNRS, Aux Universités Paris 6 et 7, 24 Rue Lhomond, Paris cedex 05, 75237, France IFIBA, CONICET, Ciudad Universitaria, Buenos Aires, 1428, Argentina
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Palabras clave: | Kinetic energy; Kinetics; Quantum theory; Stochastic systems; Turbulence; Effective viscosity; Ginzburg-Landau equations; Grid points; Helicities; Pseudospectral methods; Quantum turbulence; Turbulent cascade; Zero temperatures; Thermal effects |
Año: | 2018
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Volumen: | 97
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Número: | 4
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.97.043629 |
Título revista: | Physical Review A
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Título revista abreviado: | Phys. Rev. A
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ISSN: | 24699926
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v97_n4_p_ClarkDiLeoni |
Referencias:
- Vinen, W.F., Niemela, J.J., (2002) J. Low Temp. Phys., 128, p. 167
- Henn, E.A.L., Seman, J.A., Roati, G., Magalhães, K.M.F., Bagnato, V.S., (2009) Phys. Rev. Lett., 103, p. 045301
- Barenghi, C.F., Skrbek, L., Sreenivasan, K.R., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 4647
- Feynman, R.P., (1955) Progress in Low Temperature Physics, 1, pp. 17-53. , edited by C. J. Gorter (Elsevier, Amsterdam)
- Donnelly, R.J., (1991) Quantized Vortices in Helium II, , (Cambridge University Press, Cambridge)
- Landau, L.D., Lifshitz, E.M., (2004) Fluid Mechanics, , (Elsevier/Butterworth-Heinemann, Amsterdam)
- Hall, H.E., Vinen, W.F., (1956) Proc. R. Soc. London Ser. A, 238, p. 204
- Bekarevich, I., Khalatnikov, I., (1961) Sov. Phys. JETP, 13, p. 643
- Barenghi, C.F., Jones, C.A., (1987) Phys. Lett. A, 122, p. 425
- Roche, P.-E., Barenghi, C.F., Leveque, E., (2009) Europhys. Lett., 87, p. 54006
- Shukla, V., Gupta, A., Pandit, R., (2015) Phys. Rev. B, 92, p. 104510
- Wacks, D.H., Barenghi, C.F., (2011) Phys. Rev. B, 84, p. 184505
- Boué, L., L'Vov, V.S., Nagar, Y., Nazarenko, S.V., Pomyalov, A., Procaccia, I., (2015) Phys. Rev. B, 91, p. 144501
- Boué, L., L'Vov, V., Pomyalov, A., Procaccia, I., (2013) Phys. Rev. Lett., 110, p. 014502
- Shukla, V., Pandit, R., (2016) Phys. Rev. e, 94, p. 043101
- Schwarz, K.W., (1985) Phys. Rev. B, 31, p. 5782
- Khomenko, D., Kondaurova, L., L'Vov, V.S., Mishra, P., Pomyalov, A., Procaccia, I., (2015) Phys. Rev. B, 91, p. 180504
- Khomenko, D., L'Vov, V.S., Pomyalov, A., Procaccia, I., (2016) Phys. Rev. B, 93, p. 134504
- Proukakis, N.P., Jackson, B., (2008) J. Phys. B, 41, p. 203002
- Nore, C., Abid, M., Brachet, M.E., (1997) Phys. Rev. Lett., 78, p. 3896
- Clark Di Leoni, P., Mininni, P.D., Brachet, M.E., (2017) Phys. Rev. A, 95, p. 053636
- Berloff, N.G., Brachet, M., Proukakis, N.P., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 4675
- Davis, M.J., Morgan, S.A., Burnett, K., (2001) Phys. Rev. Lett., 87, p. 160402
- Connaughton, C., Josserand, C., Picozzi, A., Pomeau, Y., Rica, S., (2005) Phys. Rev. Lett., 95, p. 263901
- Zaremba, E., Nikuni, T., Griffin, A., (1999) J. Low Temp. Phys., 116, p. 277
- Pitaevskii, L.P., (1959) Sov. Phys. JETP, 35, p. 408
- Choi, S., Morgan, S.A., Burnett, K., (1998) Phys. Rev. A, 57, p. 4057
- Krstulovic, G., Brachet, M., (2011) Phys. Rev. Lett., 106, p. 115303
- Krstulovic, G., Brachet, M., (2011) Phys. Rev. e, 83, p. 066311
- Shukla, V., Brachet, M., Pandit, R., (2013) New J. Phys., 15, p. 113025
- Kobayashi, M., Tsubota, M., (2006) Phys. Rev. Lett., 97, p. 145301
- Jackson, B., Proukakis, N.P., Barenghi, C.F., Zaremba, E., (2009) Phys. Rev. A, 79, p. 053615
- Rooney, S.J., Bradley, A.S., Blakie, P.B., (2010) Phys. Rev. A, 81, p. 023630
- Allen, A.J., Zuccher, S., Caliari, M., Proukakis, N.P., Parker, N.G., Barenghi, C.F., (2014) Phys. Rev. A, 90, p. 013601
- Rooney, S.J., Allen, A.J., Zülicke, U., Proukakis, N.P., Bradley, A.S., (2016) Phys. Rev. A, 93, p. 063603
- Rooney, S.J., Neely, T.W., Anderson, B.P., Bradley, A.S., (2013) Phys. Rev. A, 88, p. 063620
- Stagg, G.W., Allen, A.J., Parker, N.G., Barenghi, C.F., (2015) Phys. Rev. A, 91, p. 013612
- Neely, T.W., Bradley, A.S., Samson, E.C., Rooney, S.J., Wright, E.M., Law, K.J.H., Carretero-González, R., Anderson, B.P., (2013) Phys. Rev. Lett., 111, p. 235301
- Moon, G., Kwon, W.J., Lee, H., Shin, Y.I., (2015) Phys. Rev. A, 92, p. 051601
- Kim, J.H., Kim, W.J., Shin, Y., (2016) Phys. Rev. A, 94, p. 033612
- Seo, S.W., Ko, B., Kim, J.H., Shin, Y., (2017) Sci. Rep., 7, p. 4587
- Paoletti, M.S., Fisher, M.E., Sreenivasan, K.R., Lathrop, D.P., (2008) Phys. Rev. Lett., 101, p. 154501
- Fonda, E., Meichle, D.P., Ouellette, N.T., Hormoz, S., Lathrop, D.P., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 4707
- Clark Di Leoni, P., Mininni, P.D., Brachet, M.E., (2015) Phys. Rev. A, 92, p. 063632
- Meichle, D.P., Rorai, C., Fisher, M.E., Lathrop, D.P., (2012) Phys. Rev. B, 86, p. 014509
- Kozik, E., Svistunov, B., (2004) Phys. Rev. Lett., 92, p. 035301
- L'Vov, V.S., Nazarenko, S., (2010) J. Exp. Theor. Phys. Lett., 91, p. 428
- Boué, L., Dasgupta, R., Laurie, J., L'Vov, V., Nazarenko, S., Procaccia, I., (2011) Phys. Rev. B, 84, p. 064516
- Vinen, W.F., Tsubota, M., Mitani, A., (2003) Phys. Rev. Lett., 91, p. 135301
- Nore, C., Abid, M., Brachet, M.E., (1997) Phys. Fluids, 9, p. 2644
- Brissaud, A., Frisch, U., Leorat, J., Lesieur, M., Mazure, A., (1973) Phys. Fluids, 16, p. 1366
- Chen, Q., Chen, S., Eyink, G.L., Holm, D.D., (2003) Phys. Rev. Lett., 90, p. 214503
- Teitelbaum, T., Mininni, P.D., (2009) Phys. Rev. Lett., 103, p. 014501
- Moffatt, H.K., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 3663
- Moffatt, H.K., (1969) J. Fluid Mech., 35, p. 117
- Moffatt, H.K., Ricca, R.L., (1992) Proc. R. Soc. London Ser. A, 439, p. 411
- Moffatt, H.K., Tsinober, A., (1992) Annu. Rev. Fluid Mech., 24, p. 281
- Kraichnan, R.H., (1973) J. Fluid Mech., 59, p. 745
- André, J.C., Lesieur, M., (1977) J. Fluid Mech., 81, p. 187
- Lilly, D.K., (1986) J. Atmos. Sci., 43, p. 126
- Scheeler, M.W., Kleckner, D., Proment, D., Kindlmann, G.L., Irvine, W.T.M., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 15350
- Hänninen, R., Hietala, N., Salman, H., (2016) Sci. Rep., 6, p. 37571
- Salman, H., (2017) Proc. R. Soc. A, 473, p. 20160853
- Kedia, H., Kleckner, D., Scheeler, M.W., Irvine, W.T.M., ; Zuccher, S., Ricca, R.L., (2015) Phys. Rev. e, 92, p. 061001
- Clark Di Leoni, P., Mininni, P.D., Brachet, M.E., (2016) Phys. Rev. A, 94, p. 043605
- Lee, T.D., (1952) Q. Appl. Math., 10, p. 69
- Kraichnan, R.H., Chen, S., (1989) Physica D, 37, p. 160
- Mininni, P.D., Rosenberg, D., Reddy, R., Pouquet, A., (2011) Parallel Comput., 37, p. 316
- White, A.C., Anderson, B.P., Bagnato, V.S., (2014) Proc. Natl. Acad. Sci. USA, 111, p. 4719
- Pathria, R.K., Beale, P.D., (1996) Statistical Mechanics, , (Butterworth-Heinemann, Oxford)
- Clyne, J., Mininni, P.D., Norton, A., Rast, M., (2007) New J. Phys., 9, p. 301
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevA.97.043629 for Animations Showing the Evolution of the Compensated Energy and Helicity Spectra
Citas:
---------- APA ----------
Clark Di Leoni, P., Mininni, P.D. & Brachet, M.E.
(2018)
. Finite-temperature effects in helical quantum turbulence. Physical Review A, 97(4).
http://dx.doi.org/10.1103/PhysRevA.97.043629---------- CHICAGO ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E.
"Finite-temperature effects in helical quantum turbulence"
. Physical Review A 97, no. 4
(2018).
http://dx.doi.org/10.1103/PhysRevA.97.043629---------- MLA ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E.
"Finite-temperature effects in helical quantum turbulence"
. Physical Review A, vol. 97, no. 4, 2018.
http://dx.doi.org/10.1103/PhysRevA.97.043629---------- VANCOUVER ----------
Clark Di Leoni, P., Mininni, P.D., Brachet, M.E. Finite-temperature effects in helical quantum turbulence. Phys. Rev. A. 2018;97(4).
http://dx.doi.org/10.1103/PhysRevA.97.043629