2010, Vol. 27(5): 54702-054702    DOI: 10.1088/0256-307X/27/5/054702
	Intermittency and Thermalization in Turbulence
	ZHU Jian-Zhou1, Mark Taylor2
	1Theoretical Division and CNLS, MS B258, Los Alamos National Laboratory, Los Alamos, NM 87545, U.S.A. 2CCIM, MS 0370, Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.
	收稿日期 2009-09-30  修回日期 1900-01-01
	Supporting info
	[1] Fermi E, Pasta J and Ulam S 1995 Los Alamos Scientific Laboratory report LA-1940 [2] Frisch U et al 2008 Phys. Rev. Lett. 101 144501 [3] Lee T D 1952 Q. J. Mech. Appl. Math. 10 69 [4] Onsager L 1945 Letter to Lin C C, discussed extensively in Eyink G and Sreenivasan K R 2006 Rev. Mod. Phys. 78 87 [5] Zhu J Z 2005 Physics Rev. E 72 026303 [6] Boyd J P 1994 J. Sci. Comput. 9 81 [7] See, e.g., She Z S et al 1991 Nature 344 226 Chen S et al 1993 Phys. Rev. Lett. 70 {3051} [8] Zeitlin V 2005 Phys. Lett. A 339 316 [9] Frisch U 1995 Turbulence (Cambridge: Cambridge University) Eyink G 2008 Physica D 237 {1956} [10] Frisch U 2006 Private Communication see also Bardos C et al arXiv:0812.0149 [11] Orszag S A 1977 in Fluid Dynamics, Proceedings of the Les Houches Summer School Section XXIV ed Balian R and Peube J L (New York: Gordon and Breach) p 237 [12] Cox C M et al 2002 J. Comput. Phys. 176 430 [13] Benzi R et al 1993 Phys. Rev. E 48 R29 [14] Zhu J Z 2006 Chin. Phys. Lett. 23 2139 [15] Schumacher J et al 2007 New J. Phys. 7 89 [16] Cichowlas C et al 2005 Phys. Rev. Lett. 95 264502 where thermalization of high modes in Galerkin-truncated Euler system was shown to work as the way of singularities of Euler equation[4] to cause energy cascade. [17] The software VAPOR developed by NCAR is used: see Clyne J et al 2007 New J. Phys. 9 301