Dynamical properties of an asymmetric bistable system with quantum fluctuations in the strong-friction limit

• Autorzy: Chunhua Zeng , Ailing Gong , Chongwei Xie
• Języki publikacji: EN

Abstrakty

EN

The dynamical properties of an overdamped Brownian particle moving in an asymmetric bistable system with quantum fluctuations are investigated. Within the strong-friction limit (the quantum Smoluchowski regime), the analytic expression for the relaxation time of the system is derived by means of the projection-operator method, in which the effects of the memory kernels are taken into account. Based on the relaxation time, we consider both the overdamped quantum case and its classical counterpart.In these contexts, the effects of the quantum fluctuations and the asymmetry of the potential are discussed. It is found that: (i) The quantum effects in an asymmetric bistable system on time scales of the relaxation process are more prominent for lower temperatures and smaller asymmetries of the potential. (ii) The quantum effects speed up the rate of fluctuation decay of the state-space variable for lower temperatures. (iii) The asymmetry of the potential first slows down the rate of fluctuation decay of the state-space variable and then increases it.

Słowa kluczowe

EN

quantum fluctuations; asymmetric bistable system; relaxation time

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 198-204

Daty

wydano

2011-02-01

online

2010-09-24

Twórcy

autor

Chunhua Zeng

• Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China,

autor

Ailing Gong

• Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China

autor

Chongwei Xie

• Department of Physics, Yunnan University, Kunming, 650091, China

Bibliografia

• [1] H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1996)
• [2] S. Bouzat, H.S. Wio, Phys. Rev. E 59, 5142 (1999) http://dx.doi.org/10.1103/PhysRevE.59.5142[Crossref]
• [3] H.S. Wio, S. Bouzat, Braz. J. Phys. 29, 136 (1999) http://dx.doi.org/10.1590/S0103-97331999000100012[Crossref]
• [4] A. Nikitin, N.G. Stocks, A.R. Bulsara, Phys. Rev. E 68, 016103 (2003) http://dx.doi.org/10.1103/PhysRevE.68.016103[Crossref]
• [5] A. Nikitin, N.G. Stocks, A.R. Bulsara, Phys. Lett. A 334, 12 (2005) http://dx.doi.org/10.1016/j.physleta.2004.11.013[Crossref]
• [6] A. Nikitin, N.G. Stocks, A.R. Bulsara, Phys. Rev. E 76, 041138 (2007) http://dx.doi.org/10.1103/PhysRevE.76.041138[Crossref]
• [7] Y. Jin, W. Xu, M. Xu, Chaos Soliton. Fract. 26, 1183 (2005) http://dx.doi.org/10.1016/j.chaos.2005.02.026[Crossref]
• [8] L.-J. Ning, W. Xu, M.-L. Yao, Chin. Phys. 17, 486 (2008) http://dx.doi.org/10.1088/1674-1056/17/2/024[Crossref]
• [9] G. Lindblad, Commun. Math. Phys. 48, 119 (1976) http://dx.doi.org/10.1007/BF01608499[Crossref]
• [10] R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications (Springer, Berlin, 1982)
• [11] H. Spohn, Rev. Mod. Phys. 52, 569 (1980) http://dx.doi.org/10.1103/RevModPhys.52.569[Crossref]
• [12] J. Ankerhold, P. Pechukas, H. Grabert, Phys. Rev. Lett 87, 086802 (2001) http://dx.doi.org/10.1103/PhysRevLett.87.086802[Crossref]
• [13] J. Ankerhold, H. Grabert, Phys. Rev. Lett 101, 119903 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.119903[Crossref]
• [14] J. Ankerhold, H. Grabert, Phys. Rev. Lett 101, 169902 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.169902[Crossref]
• [15] R. Dillenschneider, E. Lutz, Phys. Rev. E 80, 042101 (2009) http://dx.doi.org/10.1103/PhysRevE.80.042101[Crossref]
• [16] J. Ankerhold, Phys. Rev. E 64, 060102(R) (2001) http://dx.doi.org/10.1103/PhysRevE.64.060102[Crossref]
• [17] B.-q. Ai, H. Zheng, H.-z. Xie, L.-g. Liu, Cent. Eur. J. Phys. 4, 270 (2006) http://dx.doi.org/10.2478/s11534-006-0010-5[Crossref]
• [18] U. Weiss, Quantum Dissipative Systems, 2nd edition (World Scientific, Singapore, 1999) http://dx.doi.org/10.1142/9789812817877[Crossref]
• [19] L. Machura, M. Kostur, P. Hänggi, P. Talkner, J. Luczka, Phys. Rev. E 70, 031107 (2004) http://dx.doi.org/10.1103/PhysRevE.70.031107[Crossref]
• [20] J. Łuczka, R. Rudnicki, P. Hänggi, Physica A 351, 60 (2005) http://dx.doi.org/10.1016/j.physa.2004.12.007[Crossref]
• [21] M. Łukasz, J. Łuczka, P. Talkner, P. Hänggi, Acta Phys. Pol. B 38, 1855 (2007)
• [22] C. Zeng, A. Gong, Y. Luo, Int. J. Mod. Phys. B (in press)
• [23] L. Machura, M. Kostur, P. Talkner, J. Luczka, P. Hänggi, Phys. Rev. E 73, 031105 (2006) http://dx.doi.org/10.1103/PhysRevE.73.031105[Crossref]
• [24] J. Casademunt, R. Mannellaetal, Phys. Rev. A 35, 5183 (1987) http://dx.doi.org/10.1103/PhysRevA.35.5183[Crossref]
• [25] D.C. Mei, C.W. Xie, L. Zhang, Phys. Rev. E 68, 051102 (2003) http://dx.doi.org/10.1103/PhysRevE.68.051102[Crossref]
• [26] D.C. Mei, C.W. Xie, Y.L. Xiang, Physica A 343, 167 (2004) http://dx.doi.org/10.1016/j.physa.2004.05.057[Crossref]
• [27] F. Long, L.-C. Du, D.-C. Mei, Phys. Scripta 79, 045007 (2009) http://dx.doi.org/10.1088/0031-8949/79/04/045007[Crossref]
• [28] C. Zeng, Chin. J. Phys. 48, 57 (2010)
• [29] C. Zeng, X. Zhou, S. Tao, Cent. Eur. J. Phys. 7, 534 (2009) http://dx.doi.org/10.2478/s11534-009-0035-7[Crossref]
• [30] S.A. Maier, J. Ankerhold, Phys. Rev. E 81, 021107 (2010) http://dx.doi.org/10.1103/PhysRevE.81.021107[Crossref]
• [31] J.M. Noriega et al., Phys. Rev. A 38, 5670 (1988) http://dx.doi.org/10.1103/PhysRevA.38.5670[Crossref]
• [32] J.M. Noriega et al., Phys. Rev. A 44, 2094 (1991) http://dx.doi.org/10.1103/PhysRevA.44.2094[Crossref]
• [33] A. Hernandez-Machado, M. San Miguel, J.M. Sancho, Phys. Rev. A 29, 3388 (1984) http://dx.doi.org/10.1103/PhysRevA.29.3388[Crossref]
• [34] R.L. Stratonovich, In: R.L. Stratonovich (Ed.), Topics in the Theory of Random Noise (Gordon and Breach, New York, 1967) 223
• [35] H. Fujisaka, S. Grossmann, Z. Phys. B Con. Mat. 43, 69 (1981) http://dx.doi.org/10.1007/BF01295477[Crossref]
• [36] C.W. Xie, D.C. Mei, Phys. Lett. A 323, 421 (2004) http://dx.doi.org/10.1016/j.physleta.2004.02.034[Crossref]

Identyfikatory

DOI

10.2478/s11534-010-0041-9