Super carbon nanotubes,fractal super tubes and fractal super fibres

Abstract

The present paper deals with the recent progresses in super carbon nanotubes, fractal super tubes, fractal super fibres and multifractal super fibres. The concept and main ideas about super carbon nanotubes are recalled first. The marvellous properties of the super carbon nanotubes are reviewed. Then, the super carbon nanotube is further extended to fractal super carbon nanotube and fractal super tube, and the necessary conditions for forming a fractal super tube are summarised. To explain the paradox in the fractal dimension of fractal super tubes, fractal super fibres are constructed. To depict the multifractal-like geometries of biological fibres, the multifractal super fibres are designed from the hybrid of various single fractal super fibres.

Keywords

SUPER CARBON NANOTUBES FRACTAL SUPER TUBES FRACTAL SUPER FIBRES MULTIFRACTAL SUPER FIBRES SELF-SIMILARITY FRACTAL DIMENSIONS

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References

Fan

, Liu

J.-F.

and He

J.-H.

: Int. J. Nonlinear Sci. Numer. Simul, 2008, 9,(3), 293–296.

J.-H.

, Ren

Z.-F.

, Fan

and Xu

: Chaos Soliton. Fract., 2009, 41,1839–1841.

J. H.

: Polym. Int., 2007, 56, (11), 1321–1322.

J. H.

, Xu

, Wu

and Liu

: Polym. Int., 2007, 56, (11), 1323–1329.

J. H.

, Liu

, Xu

and Yu

J. Y.

: Chaos Soliton. Fract., 2007, 32,(3), 1096–1100.

J. H.

, Wan

Y. Q.

and Xu

: Chaos Soliton. Fract., 2007, 33,(1), 26–37.

J. H.

, Liu

, Xu

, Yu

J. Y.

and Sun

: Chaos Soliton. Fract., 2008, 37,643–651.

Liu

, He

J. H.

, Yu

J. Y.

and Zeng

H. M.

: Polym. Int., 2008, 57, (4), 632–636.

J. H.

, Wan

Y. Q.

and Yu

J. Y.

: Fiber. Polym. 2008, 9,(2), 140–142.

10.

J. H.

: Int. J. Mod. Phys. B, 2008, 22B,(21), 3487–3578.

11.

Coluci

V. R.

, Galvao

D. S.

and Jorio

: Nanotechnology, 2006, 17,617–621.

12.

Yin

Y. J.

, Chen

Y. L.

, Yin

and Huang

K. Z.

: Nanotechnology, 2006, 17,4941–4945.

13.

Coluci

V. R.

, Pugno

N. M.

, Dantas

S. O.

, Galvao

D. S.

and Jorio

: Nanotechnology, 2007, 18,335702.

14.

Qin

, Feng

X. Q.

, Zou

, Yin

Y. J.

and Yu

S. W.

: Appl Phys. Lett., 2007, 91,043108.

15.

Qin

, Feng

X. Q.

, Zou

, Yin

Y. J.

and Yu

S. W.

: J. Nanosci. Nanotechnot, 2008, 8,1–9.

16.

Pugno

N. M.

: Nanotechnology, 2006, 17,5480–5484.

17.

Wang

, Qiu

X. M.

and Zhang

: Nanotechnology, 2007, 18,075711.

18.

Wang

, Qiu

X. M.

, Zhang

and Yin

Y. J.

: Nanotechnology, 2007, 18,295708.

19.

, Qiu

X. M.

, Yang

, Wang

X.-S.

and Yin

Y. J.

: Nanotechnology, 2008, 19,225701.

20.

, Qiu

X. M.

, Yang

, Wang

X.-S.

, Yin

Y. J.

and Fan

: J. Phys. D, 2008, 41D,155423.

21.

, Qiu

X. M.

, Yang

, Wang

X.-S.

and Yin

Y. J.

: Nanotechnology, 2008, 19,165502.

22.

, Qiu

X. M.

, Yang

, Wang

X.-S.

, Yin

Y. J.

and Fan

: Solid State Commun., 2008, 148,63–68.

23.

Yang

, Qiu

X. M.

, Li

, Yin

Y. J.

and Fan

: Phys. Lett. A, 2008, 372A,6960–6964.

24.

Yin

Y. J.

, Zhang

, Yang

and Qiu

X. M.

: Chaos Soliton. Fract., 2008, 37,1257–1266.

25.

Yin

Y. J.

, Yang

, Zhang

and Fan

Q. S.

. Int. J. Nonlinear Sci. Numer. Simul, 2008, 9,97–102.

26.

Yin

Y. J.

, Yang

, Fan

Q. S.

and Zhang

: Int. J. Nonlinear Sci. Numer. Simul, 2009, 10,(1), 1–12.

27.

Romo-Herrera

J. M.

, Terrones

, Dag

and Meunier

: Nanoletters, 2007, 7,570–576.

28.

Yin

, He

, Yang

and Fan

Q. S.

: Int. J. Nonlinear Sci. Numer. Simul, 2009, 10,(6), 805–809.

29.

Yin

, Yang

, Li

and Fan

Q. S.

: AppL Math. Mech.-Engl. Ed, 2009, 30,(8), 983–990.

30.

Yin

, Li

, Yang

and Fan

Q. S.

: AppL Math. Mech.-Engl. Ed, 2009, 31,(1), 55–65.

31.

Lambin

P. H.

, Triozon

and Meunier

: ‘Carbon nanotubes: in ‘From basic research to nanotechnology’, (ed. Popov

V. N.

and Lambin

), 123–142; 2006, Dordrecht, Springer.

32.

Ajayan

P. M.

and Iijima

: Nature, 1992, 358,23.

33.

Tang

Z. K.

, Wang

, Zhang

X. X.

, Wang

J. N.

, Chan

C. T.

and Sheng

: New J. Phys., 2003, 5,146.