Passage Time Description of Dynamical Processes

M. San Miguel, E. Hernández-García, P. Colet, M.O. Cáceres, and F. De Pasquale.

in Instabilities and Nonequilibrium Structures III, Eds. E. Tirapegui and W. Zeller, Kluwer Academic Publishers (1991). p. 143-155.

The description of dynamical processes in terms of passage time distributions is generally advocated. Two specific situations are considered, transient relaxation at a pitchfork bifurcation and transport in disordered chains. The scaling description at a supercritical bifurcation is reviewed. For the subcritical case an approximation for the stochastic paths allowing the calculation of the passage time distribution is presented. In the case of disordered chains, a characterization of strong disorder is given in terms of the long tail of the passage time distribution to escape from a finite interval.

Pere Colet
e-mail: [email protected]
http://www.imedea.uib.es/~pere/