Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-04-03
Acta Phys. Pol. B 28, (1997), 1731-1746
Nonlinear Sciences
Chaotic Dynamics
Latex file, 27 pp
Scientific paper
We explore a connection of the deterministically forced Burgers equation for local velocity fields with probabilistic solutions of the Schr\"{o}dinger boundary data problem. An issue of deducing the most likely interpolating dynamics from the given initial and terminal probability density data is here investigated to give account of the perturbation by external electromagnetic fields. A suitable extension of the Hopf-Cole logarithmic transformation allows to deal with nonconservative drift fields and implies the validity of appropriately generalised heat equations, which completely determine the dynamics.
Garbaczewski Piotr
Kondrat Grzegorz
Olkiewicz Robert
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