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By using the perturbation method, an effective nonlinear direct current (DC) and alternating current (AC) response of nonlinear composites with cylindrical coated inclusions randomly embedded in a host medium is studied under the action of an external electric field Ea=E0 + E1 sinωt+E3 sin3ωt with different amplitudes and frequencies. The local potentials of composite at all harmonics are given in the inclusion core, the coated layer and the host regions. All effective nonlinear responses of composites and the relationship between the effective nonlinear responses at all harmonics are also deduced for the cylindrical coated inclusions in a dilute limit.
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Keywords:
- nonlinear cylindrical coated composite /
- effective nonlinear response /
- the external AC and DC electric field
[1] Yin Z W 2003 Dielectric Physics, 2nd Version (Beijing: Science Press) 1-27 (in Chinese) [殷之文 2003 电介质物理学 第二版 (北京: 科学出版社) 第1–27页]
[2] Xie B C, Gao L 2000 Acta Phys. Sin. 49 365 (in Chinese) [谢秉川, 高雷 2000 49 365]
[3] Gao L, Hong G 2003 Acta Phys. Sin. 52 575 (in Chinese) [高雷, 洪刚 2003 52 575]
[4] Bergman D J 1978 Phys. Rep. 43 337
[5] Li X T, Ma H R 1999 Acta Phys. Sin. 48 461 (in Chinese) [李向亭, 马红孺 1999 48 461]
[6] Gao L 2001 J Phys.: Condense Matter. 13 7271
[7] Gu G Q, Yu K W 1991 Acta Phys. Sin. 40 709 (in Chinese) [顾国庆, 余建华 1991 40 709]
[8] Gu G Q, Yu K W 1992 Phys. Rev. B 46 4502
[9] Yuen K P, Law M F, Yu K W 1997 Phys. Rev. E 56 1322
[10] Wu Y M, Chen G Q 2006 Acta Phys. Sin. 55 5242 (in Chinese) [吴亚敏, 陈国庆 2006 55 5242]
[11] Yu K W, Wang Y C, Hui P M 1993 Phys. Rev. B 47 1782
[12] Yu K W, Gu G Q 1995 Phys. Lett. A 205 295
[13] Levy O, Bergman D J, Stroud D G 1995 Phys. Rev. E 52 3184
[14] Hui P M, Cheung P, Stroud D 1998 J. Appl. Phys. 84 3451
[15] Hui P M, Cheung P 2000 Phys. B 279 45
[16] Gu G Q, Hui P M, Yu K W 2000 Phys. B 279 62
[17] Wei E B, Gu G Q 2001 Commun. Theor. Phys. 35: 501
[18] Wei E B, Gu G Q 2001 Chin. Phys. Lett. 18 960
[19] Wei E B, Song J B, Gu G Q 2002 Phys. B 324 322
[20] Chen X G, Liang F C, Wei E B 2005 Chin. Phys. 14 1217
[21] Wei E B, Tian J W, Song J B 2003 J. Phys. Condens Matter. 15 8907
[22] Wei E B, Tian J W, Song J B 2004 Chin. Phys. 13 388
[23] Chen X G, Wei E B, Song J B 2004 Commun. Theor. Phys. 41 771
[24] Wei E B, Yang Z D, Gu G Q 2004 J. Phys. D: Appl. Phys. 37 107
[25] Liu Y, Liang F C, Shen H L 2005 Commun.Theor. Phys. 44 731
[26] Wei E B, Song J B, Gu G Q 2004 J. Appl. Phys. 95 1377
[27] Wei E B, Song J B, Tian J W, Gu G Q. 2003 Phys. Lett. A 309 160
[28] Natenapit M, Thongboonrithi C, Potisook C 2008 Phys. B 403 4314
[29] Li Z, Wei E B, Zhang H D, Tian J W 2005 Chin. Phys. Lett. 22(9) 2360
[30] Ding X, Jia Y X, Wang X 2008 Phys. Lett. A 372 4247
[31] Shen Y Y, Chen X G, Li Q Q 2009 Commun. Theor. Phys. 51 743
[32] Shen Y Y, Chen X G, Cui W 2009 Chin. Phys. B 18 757
[33] Hao Yan-Hua, Chen X G, Hou R 2010 Chin. Phys. B 19 067202
[34] Potisook C, Natenapit M 2012 Phys. B 407 598
[35] Ding X, Jia Y X, Wei E B 2012 Chin. Phys. B 21 057202
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[1] Yin Z W 2003 Dielectric Physics, 2nd Version (Beijing: Science Press) 1-27 (in Chinese) [殷之文 2003 电介质物理学 第二版 (北京: 科学出版社) 第1–27页]
[2] Xie B C, Gao L 2000 Acta Phys. Sin. 49 365 (in Chinese) [谢秉川, 高雷 2000 49 365]
[3] Gao L, Hong G 2003 Acta Phys. Sin. 52 575 (in Chinese) [高雷, 洪刚 2003 52 575]
[4] Bergman D J 1978 Phys. Rep. 43 337
[5] Li X T, Ma H R 1999 Acta Phys. Sin. 48 461 (in Chinese) [李向亭, 马红孺 1999 48 461]
[6] Gao L 2001 J Phys.: Condense Matter. 13 7271
[7] Gu G Q, Yu K W 1991 Acta Phys. Sin. 40 709 (in Chinese) [顾国庆, 余建华 1991 40 709]
[8] Gu G Q, Yu K W 1992 Phys. Rev. B 46 4502
[9] Yuen K P, Law M F, Yu K W 1997 Phys. Rev. E 56 1322
[10] Wu Y M, Chen G Q 2006 Acta Phys. Sin. 55 5242 (in Chinese) [吴亚敏, 陈国庆 2006 55 5242]
[11] Yu K W, Wang Y C, Hui P M 1993 Phys. Rev. B 47 1782
[12] Yu K W, Gu G Q 1995 Phys. Lett. A 205 295
[13] Levy O, Bergman D J, Stroud D G 1995 Phys. Rev. E 52 3184
[14] Hui P M, Cheung P, Stroud D 1998 J. Appl. Phys. 84 3451
[15] Hui P M, Cheung P 2000 Phys. B 279 45
[16] Gu G Q, Hui P M, Yu K W 2000 Phys. B 279 62
[17] Wei E B, Gu G Q 2001 Commun. Theor. Phys. 35: 501
[18] Wei E B, Gu G Q 2001 Chin. Phys. Lett. 18 960
[19] Wei E B, Song J B, Gu G Q 2002 Phys. B 324 322
[20] Chen X G, Liang F C, Wei E B 2005 Chin. Phys. 14 1217
[21] Wei E B, Tian J W, Song J B 2003 J. Phys. Condens Matter. 15 8907
[22] Wei E B, Tian J W, Song J B 2004 Chin. Phys. 13 388
[23] Chen X G, Wei E B, Song J B 2004 Commun. Theor. Phys. 41 771
[24] Wei E B, Yang Z D, Gu G Q 2004 J. Phys. D: Appl. Phys. 37 107
[25] Liu Y, Liang F C, Shen H L 2005 Commun.Theor. Phys. 44 731
[26] Wei E B, Song J B, Gu G Q 2004 J. Appl. Phys. 95 1377
[27] Wei E B, Song J B, Tian J W, Gu G Q. 2003 Phys. Lett. A 309 160
[28] Natenapit M, Thongboonrithi C, Potisook C 2008 Phys. B 403 4314
[29] Li Z, Wei E B, Zhang H D, Tian J W 2005 Chin. Phys. Lett. 22(9) 2360
[30] Ding X, Jia Y X, Wang X 2008 Phys. Lett. A 372 4247
[31] Shen Y Y, Chen X G, Li Q Q 2009 Commun. Theor. Phys. 51 743
[32] Shen Y Y, Chen X G, Cui W 2009 Chin. Phys. B 18 757
[33] Hao Yan-Hua, Chen X G, Hou R 2010 Chin. Phys. B 19 067202
[34] Potisook C, Natenapit M 2012 Phys. B 407 598
[35] Ding X, Jia Y X, Wei E B 2012 Chin. Phys. B 21 057202
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