TY - JOUR
T1 - Diffusion in the Markovian limit of the spatio-temporal colored noise
AU - Monnai, T.
AU - Sugita, A.
AU - Nakamura, K.
PY - 2008/10/1
Y1 - 2008/10/1
N2 - We explore the diffusion process in the non-Markovian spatio-temporal noise. There is a non-trivial short-memory regime, i.e., the Markovian limit characterized by a scaling relation between the spatial and temporal correlation lengths. In this regime, a Fokker-Planck equation is derived by expanding the trajectory around the systematic motion and the non-Markovian nature amounts to the systematic reduction of the potential. For a system with the potential barrier, this fact leads to the renormalization of both the barrier height and collisional prefactor in the Kramers escape rate, with the resultant rate showing a maximum at some scaling limit.
AB - We explore the diffusion process in the non-Markovian spatio-temporal noise. There is a non-trivial short-memory regime, i.e., the Markovian limit characterized by a scaling relation between the spatial and temporal correlation lengths. In this regime, a Fokker-Planck equation is derived by expanding the trajectory around the systematic motion and the non-Markovian nature amounts to the systematic reduction of the potential. For a system with the potential barrier, this fact leads to the renormalization of both the barrier height and collisional prefactor in the Kramers escape rate, with the resultant rate showing a maximum at some scaling limit.
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U2 - 10.1209/0295-5075/84/20005
DO - 10.1209/0295-5075/84/20005
M3 - Article
AN - SCOPUS:79051469024
VL - 84
JO - Lettere Al Nuovo Cimento
JF - Lettere Al Nuovo Cimento
SN - 0295-5075
IS - 2
M1 - 20005
ER -