Stretched exponential relaxation in a diffusive lattice model

Stretched exponential relaxation in a diffusive lattice model.

We studied the single dimer dynamics in a lattice diffusive model as a function of particle density in the high densification regime. The mean square displacement is found to be subdiffusive both in one and two dimensions. The spatial dependence of the self-part of the van Hove correlation function displays as a function of r a single peak and signals a dramatic slow down of the system for high...

Stretched Exponential Relaxation

2 Stretched exponential relaxation in glassy systems 2 2.1 Mathematical properties of the stretched exponential . . . . . . . . . . . . . . . . 3 2.1.1 τ distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.2 Behavior near zero . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.3 Properties of G(k)/G(τ) . . . . . . . . . . . . . . . . . . . . ....

Stretched Exponential Relaxation and Independent Relaxation Modes

We discuss the origin of stretched exponential relaxation in disordered Ising spin systems by writing the master equation on the phase space, and the evolution of local and global spin autocorrelation functions, in terms of independent relaxation modes, which are eigenvectors of the time evolution operator. In this sense it is shown that when the relaxation modes are spatially delocalized, both...

Stretched Exponential Relaxation in the Biased Random Voter Model

We study the relaxation properties of the voter model with i.i.d. random bias. We prove under mild condions that the disorder-averaged relaxation of this biased random voter model is faster than a stretched exponential with exponent d/(d + α), where 0 < α ≤ 2 depends on the transition rates of the non-biased voter model. Under an additional assumption, we show that the above upper bound is opti...

Stretched exponential relaxation and ac universality in disordered dielectrics