Persistence and life time distribution in coarsening phenomena

Persistence and Life Time Distribution in Coarsening Phenomena

We investigate the life time distribution P (τ, t) in one dimensional and two dimensional coarsening processes modelled by Ising-Glauber dynamics at zero temperature. The life time τ is defined as the time that elapses between two successive flips in the time interval (0, t) or between the last flip and the observation time t. We calculate P (τ, t) averaged over all the spins in the system and ...

Coarsening, Aging and Persistence

Coarsening and persistence in the voter model.

The theory of phase separation, or domain coarsening, has undergone a significant development in the last three decades [1]. The most important finding is that well-defined ordered domains arise and grow with time in such a way that the coarsening process exhibits scaling. In other words, at the late stages of the evolution the system is characterized by a single length scale L(t) that gives a ...

Aging and its distribution in coarsening processes

We investigate the age distribution function P(t ,t) in prototypical coarsening processes. Here P(t ,t) is the probability density that in a time interval (0,t) a given site was last crossed by an interface in the coarsening process at time t . We determine P(t ,t) exactly in one dimension for the ~deterministic! two-velocity ballistic annihilation process and the ~stochastic! infinite-state Po...

Ising model with memory: coarsening and persistence properties

We consider the coarsening properties of a kinetic Ising model with a memory field. The probability of a spin-flip depends on the persistence time of the spin in a state. The more a spin has been in a given state, the less the spin-flip probability is. We numerically studied the growth and persistence properties of such a system on a two dimensional square lattice. The memory introduces energy ...