Dynamical phase transitions in disordered systems : the study of a random walk model
We study a random walk in a N dimensional hypercube.To each site of the hypercube we associate a random value according to a Bernoulli distribution.These values together with the temperature define the law of waiting times of the walk at each site.We exhibit a transition between the high and low temperatures regime by studying the distance between two trajectories starting from different initial conditions and subjected to the same noise.
Abstract This paper presents two analytical models of special multiple-state devices with repair. The failure rates are constant and the repair rates between failure states are constant, while the repair rate times between failure state and good state are arbitrarily distributed. Laplace transform of the state probabilities and steady-state availability are derived.