摘要We consider a Langevin equation of active Brownian motion which contains a multiplicative as well as an additive noise term. We study the dependences of the effective diffusion coefficient Deff on both the additive and multiplicative noises. It is found that for fixed small additive noise intensity Deff varies non−monotonously with multiplicative noise intensity, with a minimum at a moderate value of multiplicative noise, and Deff increases monotonously, however, with the multiplicative noise intensity for relatively strong additive noise; for fixed multiplicative noise intensity Deff decreases with growing additive noise intensity until it approaches a constant. An explanation is also given of the different behavior of Deff as additive and multiplicative noises approach infinity, respectively.
Abstract：We consider a Langevin equation of active Brownian motion which contains a multiplicative as well as an additive noise term. We study the dependences of the effective diffusion coefficient Deff on both the additive and multiplicative noises. It is found that for fixed small additive noise intensity Deff varies non−monotonously with multiplicative noise intensity, with a minimum at a moderate value of multiplicative noise, and Deff increases monotonously, however, with the multiplicative noise intensity for relatively strong additive noise; for fixed multiplicative noise intensity Deff decreases with growing additive noise intensity until it approaches a constant. An explanation is also given of the different behavior of Deff as additive and multiplicative noises approach infinity, respectively.
WANG Shao-Hua;YANG Ming**;WU Da-Jin
. Diffusion of Active Particles Subject both to Additive and Multiplicative Noises[J]. 中国物理快报, 2011, 28(2): 20501-020501.
WANG Shao-Hua, YANG Ming**, WU Da-Jin
. Diffusion of Active Particles Subject both to Additive and Multiplicative Noises. Chin. Phys. Lett., 2011, 28(2): 20501-020501.
[1] Schweitzer F 2002 Brownian Agents and Active Particles (New York: Springer)
[2] Schweitzer F, Ebeling W and Tilch B 1998 Phys. Rev. Lett. 80 5044
[3] Erdmann U et al 2000 Eur. Phys. J. B 15 105
[4] Schweitzer F, Tilch B and Ebeling W 2000 Eur. Phys. J. B 14 157
[5] Mikhailov A S and Zanette D H 1999 Phys. Rev. E 60 4571
[6] Badoual M et al 2002 Proc. Natl. Acad. Sci. U. S. A. 99 6696
[7] Lindner B and Nicola E M 2008 Phys. Rev. Lett. 101 190603
[8] Jülicher F and Prost J 1995 Phys. Rev. Lett. 75 2618
[9] Erdmann U, Ebeling W and Anishchenko V S 2002 Phys. Rev. E 65 061106
[10] Schweitzer F, Ebeling W and Tilch B 2001 Phys. Rev. E 64 021110
[11] Chetverikov A P, Ebeling W and Velarde M G 2005 Eur. Phys. J. B 44 509
[12] Fiasconaro A, Ebeling W and Gudowska-Nowak E 2008 Eur. Phys. J. B 65 403
[13] Glück A, Hüffel H and Ilijić S 2009 Phys. Rev. E 79 021120
[14] Lindner B 2007 New J. Phys. 9 136
[15] Wu D J, Cao L and Ke S Z 1994 Phys. Rev. E 50 2496
[16] Reimann P 2002 Phys. Rep. 361 57
[17] Klimontovich Yu L 1990 Physica A 163 515
[18] Klimontovich Yu L 1994 Phys. Usp. 37 737
[19] Klimontovich Yu L 1995 Statistical Theory of Open Systems (Dordrecht: Kluwer)
[20] Ito K 1951 Mem. Am. Math. Soc. 4 51
[21] Stratonovich R L 1966 SLAM J. Control 4 362
[22] Mikhailov A S and Zanette D H 1999 Phys. Rev. E 60 4571
[23] Lindner B and Nicola E M 2008 Eur. Phys. J. Special Topics 157 43
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