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The process of work done on the system by the external force is equivalent to the process of change in system state. The thermodynamic relations of coupled bistable system based on single stochastic trajectories are established by using microcosmic dynamics and macroscopic thermodynamic methods, according to the stochastic dynamics described by Langevin equation. The transmission and conversion relations of energy are quantitatively characterized via interaction of force and work of coupled system, which reveals the coupled system exhibiting stochastic energetic resonance phenomenon. Through analyzing relationship between work done and energy, the physical nature of produced stochastic resonance is further revealed.
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Keywords:
- coupled bistable system /
- stochastic thermodynamics /
- stochastic energetic resonance /
- work
[1] Benzi R, Sutera A, Vulpiana A 1981 Phys. A 14 L453
[2] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese) [胡 岗 1994 随机力与非线性系统(上海:上海科技教育出版社)]
[4] Nozaki D, Mar D J, Grigg P, Collins J J 1999 Phys. Rev. Lett. 82 2402
[5] Qin G R, Gong D C, Hu G, Wen X D 1992 Acta Phys. Sin. 41 360 (in Chinese) [秦光戎、龚德纯、胡 岗、温孝东 1992 41 360]
[6] Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林 敏、黄咏梅 2006 55 3277]
[7] Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 952
[8] Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江、 李 蓉、 温孝东 2003 52 2404]
[9] Lin M, Mao Q M, Zheng Y J, Li D S 2007 Acta Phys. Sin. 56 5021 (in Chinese) [林 敏、毛谦敏、郑永军、李东升 2007 56 5021]
[10] Wang C J 2010 Chin. Phys. B 19 030503
[11] Lin M, Fang L M, Zheng Y J 2009 Chin. Phys. B 18 1725
[12] Dong X J 2010 Chin. Phys. B 19 010502
[13] Leng Y G, Wang T Y, Guo Y, Wang W J, Hu S G 2005 Acta Phys. Sin. 54 1118 (in Chinese) [冷永刚、王太勇、郭 焱、汪文津、胡世广 2005 54 1118]
[14] Lin M, Huang Y M 2007 Acta Phys.Sin. 56 6173 (in Chinese) [林 敏、黄咏梅 2007 56 6173]
[15] Dong X J 2009 Chin. Phys. B 18 0070
[16] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张 莉、刘 立、 曹 力 2010 59 1494]
[17] Lin L, Yan Y, Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese) [林 灵、闫 勇、梅冬成 2010 59 2240]
[18] Guo Y F, Xu W, Wang L 2010 Chin. Phys. B 19 040503
[19] Iwai T 2001 Phys. A 300 350
[20] Dan D, Jayannavar A M 2005 Phys. A 345 404
[21] Saikia S, Roy R, Jayannavar A M 2007 Phys. Lett. A 369 367
[22] Sekimoto K 2007 Phys. Rev. E 76 060103(R)
[23] Seifert U 2008 Eur. Phys. J. B 64 423
[24] Lin M, Huang Y M, Fang L M 2008 Acta Phys. Sin. 57 2048 (in Chinese) [林 敏、黄咏梅、方利民 2008 57 2048]
[25] Lin M, Fang L M, Zhu R G 2008 Acta Phys.Sin. 57 2638 (in Chinese) [林 敏、方利民、朱若谷 2008 57 2638]
-
[1] Benzi R, Sutera A, Vulpiana A 1981 Phys. A 14 L453
[2] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese) [胡 岗 1994 随机力与非线性系统(上海:上海科技教育出版社)]
[4] Nozaki D, Mar D J, Grigg P, Collins J J 1999 Phys. Rev. Lett. 82 2402
[5] Qin G R, Gong D C, Hu G, Wen X D 1992 Acta Phys. Sin. 41 360 (in Chinese) [秦光戎、龚德纯、胡 岗、温孝东 1992 41 360]
[6] Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese) [林 敏、黄咏梅 2006 55 3277]
[7] Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 952
[8] Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江、 李 蓉、 温孝东 2003 52 2404]
[9] Lin M, Mao Q M, Zheng Y J, Li D S 2007 Acta Phys. Sin. 56 5021 (in Chinese) [林 敏、毛谦敏、郑永军、李东升 2007 56 5021]
[10] Wang C J 2010 Chin. Phys. B 19 030503
[11] Lin M, Fang L M, Zheng Y J 2009 Chin. Phys. B 18 1725
[12] Dong X J 2010 Chin. Phys. B 19 010502
[13] Leng Y G, Wang T Y, Guo Y, Wang W J, Hu S G 2005 Acta Phys. Sin. 54 1118 (in Chinese) [冷永刚、王太勇、郭 焱、汪文津、胡世广 2005 54 1118]
[14] Lin M, Huang Y M 2007 Acta Phys.Sin. 56 6173 (in Chinese) [林 敏、黄咏梅 2007 56 6173]
[15] Dong X J 2009 Chin. Phys. B 18 0070
[16] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张 莉、刘 立、 曹 力 2010 59 1494]
[17] Lin L, Yan Y, Mei D C 2010 Acta Phys. Sin. 59 2240 (in Chinese) [林 灵、闫 勇、梅冬成 2010 59 2240]
[18] Guo Y F, Xu W, Wang L 2010 Chin. Phys. B 19 040503
[19] Iwai T 2001 Phys. A 300 350
[20] Dan D, Jayannavar A M 2005 Phys. A 345 404
[21] Saikia S, Roy R, Jayannavar A M 2007 Phys. Lett. A 369 367
[22] Sekimoto K 2007 Phys. Rev. E 76 060103(R)
[23] Seifert U 2008 Eur. Phys. J. B 64 423
[24] Lin M, Huang Y M, Fang L M 2008 Acta Phys. Sin. 57 2048 (in Chinese) [林 敏、黄咏梅、方利民 2008 57 2048]
[25] Lin M, Fang L M, Zhu R G 2008 Acta Phys.Sin. 57 2638 (in Chinese) [林 敏、方利民、朱若谷 2008 57 2638]
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