Open AccessOverdamped fractional Langevin equation and its stochastic resonance
Author(s) -
Shilong Gao,
Zhong Su-Chuan,
Kun Wei,
Hong Ma
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.100502
Subject(s) - langevin equation , statistical physics , brownian dynamics , physics , stochastic resonance , kernel (algebra) , fractional calculus , order (exchange) , function (biology) , stochastic process , anomalous diffusion , mathematics , brownian motion , computer science , quantum mechanics , noise (video) , pure mathematics , knowledge management , innovation diffusion , finance , artificial intelligence , economics , image (mathematics) , statistics , evolutionary biology , biology
By choosing an appropriate damping kernel function of generalized Langevin equation, fractional Langevin equation (FLE) is derived in the case of overdamped condition. With the theory of anomalous diffusion and the memory of fractional derivatives, the physical meaning of FLE is discussed. Moreover, the internal mechanism of stochastic resonance about FLE is obtained. Finally, the numerical simulation shows that in a certain range of the order, stochastic resonance appears in FLE, and it is evident that the SNR gain in fractional Langevin equation is better than that of the integer-order situation.