191 citations · 1.8k across the 50 of their papers we have counts for
4 papers · 1 filter
Sign-time distributions for interface growth
Z. Toroczkai, T. J. Newman, S. Das Sarma
We apply the recently introduced distribution of sign-times (DST) to non-equilibrium interface growth dynamics. We are able to treat within a unified picture the persistence proper…
Diffusive persistence and the `sign-time' distribution
T. J. Newman, Z. Toroczkai
We present a new method for extracting the persistence exponent theta for the diffusion equation, based on the distribution P of `sign-times'. With the aid of a numerically verifie…
The Brownian Vacancy Driven Walk
Z. Toroczkai
We investigate the lattice walk performed by a tagged member of an infinite `sea' of particles filling a d-dimensional lattice, in the presence of a Brownian vacancy. Particle-part…
Random Walk with a Hop-Over Site: A Novel Approach to Tagged Diffusion and Its Applications
R. K. P. Zia, Z. Toroczkai
We study, on a dimensional hypercubic lattice, a random walk which is homogeneous except for one site. Instead of visiting this site, the walker hops over it with arbitrary rat…