The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises...The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises with the space, the spatial asymmetry, and the coupling among the different oscillators are ingredients for the transport of particles. It is a new phenomenon that the correlation of the multiplicative noises with the space can induce the nonzero flux.展开更多
We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that...We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that the coupling among the infinite oscillators is an ingredinent for transport.This coupling of the oscillators can induce transport of particles in the absence of the correlation of the additive and multiplicative noises,even without the multiplicative noise.展开更多
In this paper,with the aid of symbolic computation,we present a uniform method for constructing soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice equation.
文摘The transport of a spatially periodic system with infinite globally coupled oscillators driven by temporalspatial noises is investigated. The probability current shows that the correlation of the multiplicative noises with the space, the spatial asymmetry, and the coupling among the different oscillators are ingredients for the transport of particles. It is a new phenomenon that the correlation of the multiplicative noises with the space can induce the nonzero flux.
文摘We consider the transport of particles for spatially periodic system with infinite locally coupled oscillators dirven by additive and multiplicative noises.A formula of the probability current derived by us shows that the coupling among the infinite oscillators is an ingredinent for transport.This coupling of the oscillators can induce transport of particles in the absence of the correlation of the additive and multiplicative noises,even without the multiplicative noise.
基金supported by Natural Science Foundation of Zhejiang Province under Grant No.Y104420
文摘In this paper,with the aid of symbolic computation,we present a uniform method for constructing soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice equation.