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- W3122983145 abstract "We consider a particle diffusing in the y-direction, dy/dt=eta(t), subject to a transverse shear flow in the x-direction, dx/dt=f(y), where x ge 0 and x=0 is an absorbing boundary. We treat the class of models defined by f(y) = pm v_{pm}(pm y)^alpha where the upper (lower) sign refers to y>0 (y<0). We show that the particle survives with probability Q(t) sim t^{-theta} with theta = 1/4, independent of alpha, if v_{+}=v_{-}. If v_{+} ne v_{-}, however, we show that theta depends on both alpha and the ratio v_{+}/v_{-}, and we determine this dependence." @default.
- W3122983145 created "2021-02-01" @default.
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- W3122983145 date "2004-07-15" @default.
- W3122983145 modified "2023-09-24" @default.
- W3122983145 title "Survival of a diffusing particle in a transverse shear flow: a first-passage problem with continuously varying persistence exponent" @default.
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- W3122983145 doi "https://doi.org/10.1088/0305-4470/37/30/l01" @default.
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