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For: Daumont I, Dombre T, Gilson JL. Instanton calculus in shell models of turbulence. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000;62:3592-610. [PMID: 11088860 DOI: 10.1103/physreve.62.3592] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/18/1999] [Revised: 02/14/2000] [Indexed: 11/07/2022]
Number Cited by Other Article(s)
1
Fuchs A, Herbert C, Rolland J, Wächter M, Bouchet F, Peinke J. Instantons and the Path to Intermittency in Turbulent Flows. PHYSICAL REVIEW LETTERS 2022;129:034502. [PMID: 35905359 DOI: 10.1103/physrevlett.129.034502] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/14/2021] [Revised: 02/23/2022] [Accepted: 06/10/2022] [Indexed: 06/15/2023]
2
Corbetta A, Menkovski V, Benzi R, Toschi F. Deep learning velocity signals allow quantifying turbulence intensity. SCIENCE ADVANCES 2021;7:7/12/eaba7281. [PMID: 33731341 PMCID: PMC7968843 DOI: 10.1126/sciadv.aba7281] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/08/2020] [Accepted: 01/29/2021] [Indexed: 06/12/2023]
3
Margazoglou G, Biferale L, Grauer R, Jansen K, Mesterházy D, Rosenow T, Tripiccione R. Hybrid Monte Carlo algorithm for sampling rare events in space-time histories of stochastic fields. Phys Rev E 2019;99:053303. [PMID: 31212557 DOI: 10.1103/physreve.99.053303] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2018] [Indexed: 11/07/2022]
4
Ebener L, Margazoglou G, Friedrich J, Biferale L, Grauer R. Instanton based importance sampling for rare events in stochastic PDEs. CHAOS (WOODBURY, N.Y.) 2019;29:063102. [PMID: 31266309 DOI: 10.1063/1.5085119] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/2018] [Accepted: 05/10/2019] [Indexed: 06/09/2023]
5
Gürcan ÖD. Nested polyhedra model of isotropic magnetohydrodynamic turbulence. Phys Rev E 2018;97:063111. [PMID: 30011494 DOI: 10.1103/physreve.97.063111] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2017] [Indexed: 06/08/2023]
6
De Pietro M, Biferale L, Mailybaev AA. Inverse energy cascade in nonlocal helical shell models of turbulence. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;92:043021. [PMID: 26565346 DOI: 10.1103/physreve.92.043021] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/27/2015] [Indexed: 06/05/2023]
7
Mailybaev AA. Blowup as a driving mechanism of turbulence in shell models. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;87:053011. [PMID: 23767624 DOI: 10.1103/physreve.87.053011] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/02/2013] [Indexed: 06/02/2023]
8
Mailybaev AA. Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;86:025301. [PMID: 23005816 DOI: 10.1103/physreve.86.025301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2012] [Indexed: 06/01/2023]
9
Mailybaev AA. Renormalization and universality of blowup in hydrodynamic flows. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;85:066317. [PMID: 23005216 DOI: 10.1103/physreve.85.066317] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2012] [Revised: 03/16/2012] [Indexed: 06/01/2023]
10
Daumont I, Peyrard M. One-dimensional "turbulence" in a discrete lattice. CHAOS (WOODBURY, N.Y.) 2003;13:624-636. [PMID: 12777127 DOI: 10.1063/1.1530991] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
11
L'vov VS. Quasisolitons and asymptotic multiscaling in shell models of turbulence. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002;65:026309. [PMID: 11863655 DOI: 10.1103/physreve.65.026309] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2001] [Indexed: 05/23/2023]
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