摘要A system driven by correlated Gaussian noises related with disorder is investigated. The Fokker--Planck equation (FPE) for the system is derived. Using the FPE derived, some systems driven by correlated Gaussian noises related with disorder can be investigated for Brownian motors, nonequilibrium transition, resonant activation, stochastic resonance, and so on. We only give one example: i.e., using the FPE derived, we study the resonant activation for a single motor protein model with correlated noises related to disorder. Since the correlated noise related to disorder usually exists with the friction, for the temperature, and so on, our results have generic physical meanings for physics, chemistry, biology and other sciences.
Abstract：A system driven by correlated Gaussian noises related with disorder is investigated. The Fokker--Planck equation (FPE) for the system is derived. Using the FPE derived, some systems driven by correlated Gaussian noises related with disorder can be investigated for Brownian motors, nonequilibrium transition, resonant activation, stochastic resonance, and so on. We only give one example: i.e., using the FPE derived, we study the resonant activation for a single motor protein model with correlated noises related to disorder. Since the correlated noise related to disorder usually exists with the friction, for the temperature, and so on, our results have generic physical meanings for physics, chemistry, biology and other sciences.
LI Jing-Hui. System Driven by Correlated Gaussian Noises Related with Disorder[J]. 中国物理快报, 2007, 24(9): 2505-2508.
LI Jing-Hui. System Driven by Correlated Gaussian Noises Related with Disorder. Chin. Phys. Lett., 2007, 24(9): 2505-2508.
[1] Magnasco M O 1993 Phys. Rev. Lett. 71 1477 Bartussek R, H\"anggi P and Kissner J G 1994 Europhys.Lett. 28 459 Bier M and Astumian R D 1996 Phys. Rev. Lett. 76 4277 Lodahl P and Lagendijk A 2005 Phys. Rev. Lett. 94 153905 Reimann P 2002 Phys. Rep. 361 57 Li J H and Hanggi P 2001 Phys. Rev. E 64 011106 Li J H, \L uczka J and Hanggi P 2001 Phys. Rev. E 64 011113 Li J H 2003 Phys. Rev. E 67 061110 Li Jing-hui 2006 Phys. Rev. E 74 011114 [2] Van den Broeck C et al %, Parrondo J M R and Toral R1994 Phys. Rev.Lett. 73 3395 Li J H and Huang Z Q 1996 Phys. Rev. E 53 3315 [3] Li J H et al %, Huang Z Q and Xing D Y1998 Phys. Rev. E 58 2838 Li J H and Huang Z Q 1998 Phys. Rev. E 58 2760 Reimann P et al %, Van den Broeck C and Kawai R1999 Phys. Rev. E 60 6402 Stefan W et al %, Patrick H, Dieter S, Brand Helmut R and Jurgen K2005 Phys. Rev. Lett. 95 038301 [4] Doering C R and Gadoua J C 1992 Phys. Rev. Lett. 69 2318 Bier M and Astumian R D 1993 Phys. Rev. Lett. 71 1649 Reimann P 1995 Phys. Rev. Lett. 74 4576 Li J H, Xing D Y, Dong J M and Hu B 1999 Phys. Rev. E 60 1324 Klik I and Yao Y D 2005 Phys. Rev. E 71 067102 Li J H and Han Y X 2006 Phys. Lett. A 359 573 Li J H and Han Y X 2006 Phys. Rev. E 74 041118 Li J H 2007 J. Phys. A 40 621 [5] Gammaitoni L, Hanggi P, Jung P and Marchesoni F 1998 Rev.Mod. Phys. 70 223 Li J H 2002 Phys. Rev. E 66 031104 Li J H and Chen S G 2004 Phys. Rev. Lett. 93 014102 Igor G, Peter H, Jose L V and Salvador M 2005 Phys. Rev. E 71 061906 Li J H and Han Y X 2006 Phys. Rev. E 74 051115 [6] Herger R et al%5, Willmott P R, Bunk O, Schleputz C M, Patterson B D and Delley B2007 Phys. Rev. Lett. 98 076102 [7] Garriga A and Ritort F 2005 Phys. Rev. E 72 031505 [8] Peter O 2007 Phys. Rev. Lett. 98 097001 Hess C et al %, ElHaes H, Waske A, Buchner B, Sekar C, Krabbes G,%Heidrich-Meisner F and Brenig W2007 Phys. Rev. Lett. 98 027201 [9] Bak\'{o B, Groma I, Gyorgyi G andZim\'{anyi G T 2007 Phys. Rev. Lett. 98 075701 Martin R, Lasse L, Martin D and Mikko A 2007 Phys. Rev.Lett. 98 054502 [10] Hanggi P 1980 Phys. Lett. A 78 304 Sancho J M, Miguel M San, Katz S L and Gunton J D 1982 Phys.Rev. A 26 1589 Hanggi P, and Riseborough P 1983 Phys. Rev. A 27 3379 Van den Brorck C and Hanggi P 1984 Phys. Rev. A 30 2730 Kai S, Wakabayashi S and Imasaki M 1986 Phys. Rev. A 33 2612 Diaz-Guilera A and Rubi J M 1986 Phys. Rev. A 34 462 [11] Gardiner C W 1983 Handbook of Stochastic Method for Physics,Chemistry and the Natural Sciences (Berlin: Springer) [12] Li J H 2007 Physica D 226 209 [13] Novikov E A 1964 Zh. Eksp. Theor. Fiz. 47 [1965 Sov. Phys. JETP 20 1290] [14] Klyatskin V I and Tatarskii V I 1974 Sov. Phys. Usp. 16 494 [15] Li J H and Huang Z G 1998 Phys. Rev. E 57 3917 [16] Astumian R D and Bier M 1994 Phys. Rev. Lett. 72 1766
2007, Vol. 24 
