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Direct non-equilibrium molecular dynamics (NEMD) was used to simulate the thermal conductivities of the monolayer and the bilayer silicon functionalized graphenes along the length direction respectively, with the Tersoff potential and the Lennard-Jones potential, based on the velocity Verlet time stepping algorithm and the Fourier law. Simulation results indicate that the thermal conductivity of the monolayer silicon functionalized graphene decreases rapidly with increasing amount of silicon atoms. This phenomenon could be primarily attributed to the changes of graphene phonon modes, mean free path, and motion speed after silicon atoms are embedded in the graphene layer. Meanwhile, the thermal conductivity of the monolayer graphene is declined in the temperature range from 300 to 1000 K. As for the bilayer silicon functionalized graphene, its thermal conductivity increases as a few silicon atoms are inserted into the layer, but decreases when the number of silicon atoms reaches a certain value.
[1] Barpanda P, Chotard J N, Delacourt C, Reynaud M, Filinchuk Y, Armand M, Tarascon J M 2011 Angew. Chem. Int. Ed. 50 2526
[2] Kim H, Seo M, Park M H, Cho J 2010 Angew. Chem. Int. Ed. 49 2146
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[4] Wang J M, Hu J P, Liu C H, Shi S Q, Ouyang C Q 2012 Physics 41 02 (in Chinese) [王佳民, 胡军平, 刘春华, 施思齐, 欧阳楚英2012 物理41 02]
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[9] Novoselov K S, Geim A K, Morozov S V, Jiang D, Grigorieva M K I, Dubonos S V, Firsov A A 2005 Nature 438 197
[10] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nat. 438 201
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[12] Paek S M, Yoo E, Honma I 2008 Nano Lett. 9 72
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[14] Lee J K, Smith K B, Hayner C M, Kung H H 2010 Chem. Commun. 46 2025
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[16] Zhao X, Hayner C M, Kung M C, Kung H H 2011 Adv. Energy Mater. 1 1079
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[20] Yang P, Wang X L, Li P, Wang H, Zhang L Q, Xie F W 2012 Acta Phys. Sin. 61 76501 (in Chinese) [杨平, 王晓亮, 李培, 王欢, 张立强, 谢方伟2012 61 76501]
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[24] Wang J, Wu W D, Shen J, Lu X P 1995 Physics 24 1 (in Chinese) [王珏, 吴卫东, 沈军, 陆献平1995 物理24 1]
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[28] Tersoff J 1990 Phys. Rev. B 41 3248
[29] Baskes M I 1999 Phys. Rev. Lett. 83 2592
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[32] Nosé S 1984 Mol. Phys. 52 255
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[34] Hoover W G 1985 Phys. Rev. A 31 1695
[35] Schelling P K, Phillpot S R, Keblinski P 2002 Phys. Rev. B 65 144306
[36] Che J, Çağin T, Deng W, Goddard Ⅲ W A 2000 J. Chem. Phys. 113 6888
[37] Li J, Porter L, Yip S 1998 J. Nucl. Mater. 255 139
[38] Ladd A J, Moran B, Hoover W G 1986 Phys. Rev. B 34 5058
[39] Lee Y H, Biswas R, Soukoulis C M, Wang C Z, Chan C T, Ho K M 1991 Phys. Rev. B 43 6573
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[42] Jund P, Jullien R 1999 Phys. Rev. B 59 13707
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[44] Muller-Plathe, 1999 Phys. Rev. E 59 4894
[45] Huang K, Han R Q 1998 Solid State Physics (Beijing: Beijing University Press) p143 (in Chinese) [黄昆, 韩汝琦1998 固体物理学(北京大学出版社) 第143 页]
[46] Wei Z Y, Bi K D, ChenY F 2010 Journal of Southeast University (Narural Science Edition) 40 306 (in Chinese)[魏志勇, 毕可东, 陈云飞2010 东南大学学报(自然科学版) 40 306]
[47] Ghosh S, Callizo I, Teweldebrhan D, Pokatilov E P, Nika D L, Balandin A A, Lau C N 2008 Appl. Phys. Lett. 92 151911
[48] Alexis R, Abramson, Chang-Lin T, Arun M 2002 J. Heat Transfer 124 963
[49] Chen S, Wu Q, Mishra C, Kang J, Zhang H, Cho K, Ruoff R S 2012 Nat. Mater. 11 203
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[1] Barpanda P, Chotard J N, Delacourt C, Reynaud M, Filinchuk Y, Armand M, Tarascon J M 2011 Angew. Chem. Int. Ed. 50 2526
[2] Kim H, Seo M, Park M H, Cho J 2010 Angew. Chem. Int. Ed. 49 2146
[3] Jafta C J, Ozoemena K I, Mathe M K, Roos W D 2012 Electrochim. Acta. 85 411
[4] Wang J M, Hu J P, Liu C H, Shi S Q, Ouyang C Q 2012 Physics 41 02 (in Chinese) [王佳民, 胡军平, 刘春华, 施思齐, 欧阳楚英2012 物理41 02]
[5] Song L, Evans J W 1999 J. Electrochem. Soc. 146 869
[6] Novoselov K, Geim K, Morozov S V, Jiang D, Zhang Y, Dubonos S V 2004 Sci. 306 666
[7] Bolotin K I, Sikes K J, Jiang Z, Klima M, Fudenberg G, Hone J, Stormer H L 2008 Sol. Sta. Com. 146 351
[8] Kim K S, Zhao Y, Jang H, Lee S Y, Kim J M, Kim K S, Hong B H 2009 Nat. 457 706
[9] Novoselov K S, Geim A K, Morozov S V, Jiang D, Grigorieva M K I, Dubonos S V, Firsov A A 2005 Nature 438 197
[10] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nat. 438 201
[11] Suzuki T, Hasegawa T, Mukai S R, Tamon H 2003 Carbon 41 1933
[12] Paek S M, Yoo E, Honma I 2008 Nano Lett. 9 72
[13] Wang G, Shen X, Yao J, Park J 2009 Carbon 47 2049
[14] Lee J K, Smith K B, Hayner C M, Kung H H 2010 Chem. Commun. 46 2025
[15] Mai Y J, Wang X L, Xiang J Y, Qiao Y Q, Zhang D, Gu C D, Tu J P 2011 Electrochim. Acta 56 2306
[16] Zhao X, Hayner C M, Kung M C, Kung H H 2011 Adv. Energy Mater. 1 1079
[17] Lee J K, Smith K B, Hayner C M, Kung H H 2010 Chem. Commun. 46 2025
[18] Seol J H, Jo I, Moore A L, Lindsay L, Aitken Z H, Pettes M T, Shi L 2010 Sci. 328 213
[19] Balandin A A, Ghosh S, Bao W, Calizo I, Teweldebrhan D, Miao F, Lau C N 2008 Nano Lett. 8 902
[20] Yang P, Wang X L, Li P, Wang H, Zhang L Q, Xie F W 2012 Acta Phys. Sin. 61 76501 (in Chinese) [杨平, 王晓亮, 李培, 王欢, 张立强, 谢方伟2012 61 76501]
[21] Yu W, Xie H, Li F, Zhao J, Zhang Z 2013 Appl. Phys. Lett. 103 141913
[22] Kim J, Im H, Kim J M, Kim J 2012 J. Mater. Sci. 47 1418
[23] Williams G, Seger B, Kamat P V 2008 ACS Nano 2 1487
[24] Wang J, Wu W D, Shen J, Lu X P 1995 Physics 24 1 (in Chinese) [王珏, 吴卫东, 沈军, 陆献平1995 物理24 1]
[25] Plimpton S 1995 J. Compu. Phys. 7 1
[26] Tersoff J 1988 Phys. Rev. B 37 6991
[27] Tersoff J 1989 Phys. Rev. B 39 5566
[28] Tersoff J 1990 Phys. Rev. B 41 3248
[29] Baskes M I 1999 Phys. Rev. Lett. 83 2592
[30] Allen M P, Tildesley D J 1989 Computer simulation of liquids (London: Oxford university press) p233
[31] Swope W C, Andersen H C, Berens P H, Wilson K R 1982 J. Chem. Phys. 76 637
[32] Nosé S 1984 Mol. Phys. 52 255
[33] Nosé S 1984 J. Chem. Phys. 81 511
[34] Hoover W G 1985 Phys. Rev. A 31 1695
[35] Schelling P K, Phillpot S R, Keblinski P 2002 Phys. Rev. B 65 144306
[36] Che J, Çağin T, Deng W, Goddard Ⅲ W A 2000 J. Chem. Phys. 113 6888
[37] Li J, Porter L, Yip S 1998 J. Nucl. Mater. 255 139
[38] Ladd A J, Moran B, Hoover W G 1986 Phys. Rev. B 34 5058
[39] Lee Y H, Biswas R, Soukoulis C M, Wang C Z, Chan C T, Ho K M 1991 Phys. Rev. B 43 6573
[40] Volz S G, Chen G 2000 Phys. Rev. B 61 2651
[41] Oligschleger C, Schö n J C 999 Phys. Rev. B 59 4125
[42] Jund P, Jullien R 1999 Phys. Rev. B 59 13707
[43] Berber S, Kwon Y K, Tomanek D 2000 Phys. Rev. Lett. 84 613
[44] Muller-Plathe, 1999 Phys. Rev. E 59 4894
[45] Huang K, Han R Q 1998 Solid State Physics (Beijing: Beijing University Press) p143 (in Chinese) [黄昆, 韩汝琦1998 固体物理学(北京大学出版社) 第143 页]
[46] Wei Z Y, Bi K D, ChenY F 2010 Journal of Southeast University (Narural Science Edition) 40 306 (in Chinese)[魏志勇, 毕可东, 陈云飞2010 东南大学学报(自然科学版) 40 306]
[47] Ghosh S, Callizo I, Teweldebrhan D, Pokatilov E P, Nika D L, Balandin A A, Lau C N 2008 Appl. Phys. Lett. 92 151911
[48] Alexis R, Abramson, Chang-Lin T, Arun M 2002 J. Heat Transfer 124 963
[49] Chen S, Wu Q, Mishra C, Kang J, Zhang H, Cho K, Ruoff R S 2012 Nat. Mater. 11 203
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