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By making use of the method of transfer matrix, we study the behaviors of heat conduction in one-dimensional Fibonacci chain under the influence of on-site potential (including transmission coefficient, Lyapunov coefficient and heat conduction). The results show that, with the on-site potential increasing while fixing the ratios of atom mass and force constant, the transmission coefficient of the low-frequency region decreases, and the corresponding Lyapunov coefficient increases, and the transmission spectrum moves to the higher frequency region. Meanwhile, with the increasing of on-site potential, the heat conductivity of the system decreases. When the on-site potential is large enough, the thermal conductivity of the system will tend to zero. In the curve of κ-ω2, the thermal conductivity shows a slowly increasing trend in steps, and tends to a certain value in the high-frequency region.
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Keywords:
- on-site potential /
- Fibonacci chain /
- transfer matrix /
- transmission coefficient
[1] Lin S 2003 Permanent Magnetism Organization and Vacuum Breaker (Beijing: Mechanical Industry Press) (in Chinese)[林 莘 2003 永磁机构与真空断路器 (北京: 机械工业出版社)]
[2] Li J J 2005 Pragmatic Technology of High School Pressure Switch Equipment (Beijing: Mechanical Industry Press) (in Chinese) [李建基 2005 高中压开关设备实用技术 (北京: 机械工业出版社) ]
[3] Chaly A, Polyanov V, Zakharov V 2005 The Fifth International Conference on Power Transmission & Dist Ribution Technology Beijing October 12—14, 2005 p147
[4] Lepri S, Livi R, Politi A 1997 Phys. Rev. Lett. 78 1896
[5] Hatano T 1999 Phys. Rev. Lett. 59 R1
[6] Li B, Zhao H, Hu B 2001 Phys. Rev. Lett. 86 63
[7] Li X X, Tang Y 2006 Acta Phys. Sin. 55 6556(in Chinese)[李新霞、唐 翌 2006 物理学报 55 6556]
[8] Narayan O, Ramaswamy S 2002 Phys. Rev. Lett. 89 200601
[9] Giulio C, Joseph F, Franco V, William M V 1984 Phys. Rev. Lett. 52 1861
[10] Prosen T, Robnik M 1992 J. Phys. A 25 3449
[11] Hu B, Lei Y 2005 Chaos 15 015119
[12] Savin A V, Gendelman O V 2003 Phys. Rev. E 67 041205
[13] Tong P Q, Li B W, Hu B B 1999 Phys. Rev. B 59 8639
[14] Rubin R J, Green W L 1971 Math. Phys. 12 1686
[15] Lepris S, Livi R, Poiti A 1997 Phys. Rev. Lett. 78 1896
[16] Kaburaki H, Machida M 1993 Phys. Lett. A 181 85
[17] Hu B, Li B W, Zhao H 1998 Phys. Rev. E 57 2992
[18] Shechtman D, Blech I, Gratias D 1984 Phys. Rev. Lett. 53 1951
[19] Cao L S, Peng R W, Zhang R L, Zhang X F, Wang M, Huang X Q, Hu A, Jiang S S 2005 Phys. Rev. B 72 214301
[20] Enrique M 1999 Phys. Rev. B 61 10
[21] Huang X Q, Gong C D 1998 Phys. Rev. B 58 739
[22] Bellisard J, Iochum B, Scoppola E, Testard D 1989 Math. Phys. 125 527
[23] Rubin R J, Greer W L 1971 Math. Phys. 12 1686
[24] Connor A J O, Lebowitz J L 1974 Math. Phys. 15 692
[25] Cao Y J,Yang X 2008 Acta Phys. Sin. 57 3620 (in Chinese) [曹永军、杨 旭 2008 物理学报 57 3620]
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[1] Lin S 2003 Permanent Magnetism Organization and Vacuum Breaker (Beijing: Mechanical Industry Press) (in Chinese)[林 莘 2003 永磁机构与真空断路器 (北京: 机械工业出版社)]
[2] Li J J 2005 Pragmatic Technology of High School Pressure Switch Equipment (Beijing: Mechanical Industry Press) (in Chinese) [李建基 2005 高中压开关设备实用技术 (北京: 机械工业出版社) ]
[3] Chaly A, Polyanov V, Zakharov V 2005 The Fifth International Conference on Power Transmission & Dist Ribution Technology Beijing October 12—14, 2005 p147
[4] Lepri S, Livi R, Politi A 1997 Phys. Rev. Lett. 78 1896
[5] Hatano T 1999 Phys. Rev. Lett. 59 R1
[6] Li B, Zhao H, Hu B 2001 Phys. Rev. Lett. 86 63
[7] Li X X, Tang Y 2006 Acta Phys. Sin. 55 6556(in Chinese)[李新霞、唐 翌 2006 物理学报 55 6556]
[8] Narayan O, Ramaswamy S 2002 Phys. Rev. Lett. 89 200601
[9] Giulio C, Joseph F, Franco V, William M V 1984 Phys. Rev. Lett. 52 1861
[10] Prosen T, Robnik M 1992 J. Phys. A 25 3449
[11] Hu B, Lei Y 2005 Chaos 15 015119
[12] Savin A V, Gendelman O V 2003 Phys. Rev. E 67 041205
[13] Tong P Q, Li B W, Hu B B 1999 Phys. Rev. B 59 8639
[14] Rubin R J, Green W L 1971 Math. Phys. 12 1686
[15] Lepris S, Livi R, Poiti A 1997 Phys. Rev. Lett. 78 1896
[16] Kaburaki H, Machida M 1993 Phys. Lett. A 181 85
[17] Hu B, Li B W, Zhao H 1998 Phys. Rev. E 57 2992
[18] Shechtman D, Blech I, Gratias D 1984 Phys. Rev. Lett. 53 1951
[19] Cao L S, Peng R W, Zhang R L, Zhang X F, Wang M, Huang X Q, Hu A, Jiang S S 2005 Phys. Rev. B 72 214301
[20] Enrique M 1999 Phys. Rev. B 61 10
[21] Huang X Q, Gong C D 1998 Phys. Rev. B 58 739
[22] Bellisard J, Iochum B, Scoppola E, Testard D 1989 Math. Phys. 125 527
[23] Rubin R J, Greer W L 1971 Math. Phys. 12 1686
[24] Connor A J O, Lebowitz J L 1974 Math. Phys. 15 692
[25] Cao Y J,Yang X 2008 Acta Phys. Sin. 57 3620 (in Chinese) [曹永军、杨 旭 2008 物理学报 57 3620]
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