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The ratchet effect in heat conductions of one-dimensional Morse lattices is studied when the system is located between two averagely isothermal reserviors, of which one keeps the temperature constant and the other is periodically modulated in temperature,and their temperatures averaged over a long time are equal to each other. Unidirectional heat current can be observed when one of the heat baths is periodically modulated in temperature. The efficiency and the direction of heat conduction can be rectified and controlled by adjusting the frequency and the amplitude of the modulation. An interesting non-stationary negative thermal conductivity, i.e., a reversed heat flow against the temperature gradient, is found in an appropriate region of frequency of the modulation. A heat wave scheme in revealing the spatiotemporal behavior of the heat conduction is proposed to study the this phenomenon. The influence of the parameters of the Morse lattice on the directional heat current is investigated, and so this provides theoretical support for practical applications.
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Keywords:
- heat conduction /
- thermal ratchet /
- heat conductivity /
- Morse lattices
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[2] Hu B, Li B, Zhao H 1998 Phys. Rev. E 57 2992
[3] Prosen T, Campbell D K 2000 Phys. Rev. Lett. 84 2857
[4] Dhar A 2001 Phys. Rev. Lett. 86 3554
[5] Garrido P L, Hurtado P I, Nadrowski B 2001 Phys. Rev. Lett. 86 5486
[6] Grassberger P, Nadler W, Yang L 2002 Phys. Rev. Lett. 89 180601
[7] Li B, Wang L, Hu B 2002 Phys. Rev. Lett. 88 223901
[8] Lepri S, Livi R, Politi A 2003 Phys. Rep. 377 1
[9] Li B, Wang J 2003 Phys. Rev. Lett. 91 044301
[10] Wang L, Li B 2008 Phys. World 21 27
[11] Terraneo M, Peyrard M, Casati G 2002 Phys. Rev. Lett. 88 094302
[12] Li B, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[13] Hu B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[14] Wang J, Zheng Z G 2010 Phys. Rev. E 81 011114
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[17] Wang L, Li B 2007 Phys. Rev. Lett. 99 177208
[18] Wang L, Li B 2008 Phys. Rev. Lett. 101 267203
[19] Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2006 Science 314 1121
[20] Kobayaashi W, Teraoka Y, Terasaki I 2009 Appl. Phys. Lett. 95 171905
[21] Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2007 Phys. Rev. Lett. 99 045901
[22] Reimann P, Bartussek R, Hussler, Hnggi P 1996 Phys. Lett. A 215 26
[23] Astumian R D Hnggi P 2002 Phys. Today 55 (11) 33
[24] Reimann P, Hnggi P 2002 Appl. Phys. A 75 169
[25] Reimann P 2002 Phys. Rep. 57 361
[26] Hnggi P, Marchesoni F, Nori F 2005 Ann. Phys. (Leipzig) 14 51
[27] Hnggi P, Marchesoni F 2009 Rev. Mod. Phys. 81 387
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[29] Van den Broeck C, Kawai R 2006 Phys. Rev. Lett. 96 210601
[30] Segal D, Nitzan A 2006 Phys. Rev. E 73 026109
[31] Marathe R, Jayannavar A M and Dhar A 2007 Phys. Rev. E 75 030103(R)
[32] Van den Broeck M, Van den Broeck C 2008 Phys. Rev. Lett. 100 130601
[33] Segal D 2008 Phys. Rev. Lett. 101 260601
[34] Li N, Hnggi P, Li B 2008 Europhys. Lett. 84 40009
[35] Li N, Zhan F, Hnggi P, Li B 2009 Phys. Rev. E 6 011125
[36] Ren J, Li B 2010 Phys. Rev. E 81 021111
[37] Larsen P V, Christiansen P L, Bang O, Archilla J F R, Gaididei Yu B 2004 Phys. Rev. E 69 026603
[38] Kalosakas G, Ngai K L, Flach S 2005 Phys. Rev. E 71 061901
[39] Lü B B, Deng Y P, Tian Q 2010 Chin. Phys. B 19 026302
[40] Haile J M 1992 Molecular dynamics simulation: elementary methods John Wiley and Sons, Inc. New York, NY, USA
[41] Zheng Z G Hu G, Hu B 2001 Phys. Rev. Lett. 86 2273
[42] Zheng Z G Cross M C, Hu G 2002 Phys. Rev. Lett. 89 154102
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[1] Lepri S, Livi R, Politi A 1997 Phys. Rev. Lett. 78 1896
[2] Hu B, Li B, Zhao H 1998 Phys. Rev. E 57 2992
[3] Prosen T, Campbell D K 2000 Phys. Rev. Lett. 84 2857
[4] Dhar A 2001 Phys. Rev. Lett. 86 3554
[5] Garrido P L, Hurtado P I, Nadrowski B 2001 Phys. Rev. Lett. 86 5486
[6] Grassberger P, Nadler W, Yang L 2002 Phys. Rev. Lett. 89 180601
[7] Li B, Wang L, Hu B 2002 Phys. Rev. Lett. 88 223901
[8] Lepri S, Livi R, Politi A 2003 Phys. Rep. 377 1
[9] Li B, Wang J 2003 Phys. Rev. Lett. 91 044301
[10] Wang L, Li B 2008 Phys. World 21 27
[11] Terraneo M, Peyrard M, Casati G 2002 Phys. Rev. Lett. 88 094302
[12] Li B, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[13] Hu B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[14] Wang J, Zheng Z G 2010 Phys. Rev. E 81 011114
[15] Wang J, Zheng Z G 2010 Acta Phys. Sin. 59 476(in Chinese) [王 军、郑志刚 2010 59 476]
[16] Li B, Wang L, Casati G 2006 Appl. Phys. Lett. 88 143501
[17] Wang L, Li B 2007 Phys. Rev. Lett. 99 177208
[18] Wang L, Li B 2008 Phys. Rev. Lett. 101 267203
[19] Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2006 Science 314 1121
[20] Kobayaashi W, Teraoka Y, Terasaki I 2009 Appl. Phys. Lett. 95 171905
[21] Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2007 Phys. Rev. Lett. 99 045901
[22] Reimann P, Bartussek R, Hussler, Hnggi P 1996 Phys. Lett. A 215 26
[23] Astumian R D Hnggi P 2002 Phys. Today 55 (11) 33
[24] Reimann P, Hnggi P 2002 Appl. Phys. A 75 169
[25] Reimann P 2002 Phys. Rep. 57 361
[26] Hnggi P, Marchesoni F, Nori F 2005 Ann. Phys. (Leipzig) 14 51
[27] Hnggi P, Marchesoni F 2009 Rev. Mod. Phys. 81 387
[28] Segal D, Nitzan A, Hnggi P 2003 J. Chem. Phys. 119 030103(6804)
[29] Van den Broeck C, Kawai R 2006 Phys. Rev. Lett. 96 210601
[30] Segal D, Nitzan A 2006 Phys. Rev. E 73 026109
[31] Marathe R, Jayannavar A M and Dhar A 2007 Phys. Rev. E 75 030103(R)
[32] Van den Broeck M, Van den Broeck C 2008 Phys. Rev. Lett. 100 130601
[33] Segal D 2008 Phys. Rev. Lett. 101 260601
[34] Li N, Hnggi P, Li B 2008 Europhys. Lett. 84 40009
[35] Li N, Zhan F, Hnggi P, Li B 2009 Phys. Rev. E 6 011125
[36] Ren J, Li B 2010 Phys. Rev. E 81 021111
[37] Larsen P V, Christiansen P L, Bang O, Archilla J F R, Gaididei Yu B 2004 Phys. Rev. E 69 026603
[38] Kalosakas G, Ngai K L, Flach S 2005 Phys. Rev. E 71 061901
[39] Lü B B, Deng Y P, Tian Q 2010 Chin. Phys. B 19 026302
[40] Haile J M 1992 Molecular dynamics simulation: elementary methods John Wiley and Sons, Inc. New York, NY, USA
[41] Zheng Z G Hu G, Hu B 2001 Phys. Rev. Lett. 86 2273
[42] Zheng Z G Cross M C, Hu G 2002 Phys. Rev. Lett. 89 154102
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