Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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
Czasopismo
Rocznik
Tom
Numer
Strony
198-204
Opis fizyczny
Daty
wydano
2011-02-01
online
2010-09-24
Twórcy
autor
- Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China, zchh2009@126.com
autor
- Faculty of Science, Kunming University of Science and Technology, Kunming, 650093, China
autor
- 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]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0041-9