The viscoelastic relaxation, that we hypothesize to be a possible cause of long-term interactions, decays less rapidly than co-seismic effects with distance (see Marzocchi et al., 2003).
This is much broader than a totally random network, for which the degree distribution, for a large number of interactions, decays exponentially.
The results obtained for a wide range of impurity concentrations and interaction decay length are discussed.
An universal dependence of critical temperature on impurity concentration and interaction decay length is found for strong dilution regime.
196 Some 1D aperiodic PhCs including 1D Fibonacci quasi-crystalline PhCs demonstrate PBGs which originate from short-range interactions created by a localized resonance state which decay via a power law relation, while the long range interaction decays linearly.
This is again a key result, showing how a simple type of statistical interaction decays with multiple sources of LD, and the relationship later derived for the power to detect the interaction follows directly from it.
The model is characterized by interactions which decay quadratically with the distance d i j between the two spins, that is, J α ( i, j ) ≡ J d i j − 2. Periodic boundary conditions are imposed by arranging the spins on the unit circle, that is, with positions z k = exp [ 2 π i N k ].
Unlike them, it is not described by a power-law distribution (see figure 5), where the number of genes with k interactions should decay exponentially.
Since the nonlinearity in the integrable system which represents binary attractive interactions exponentially decays with time, solitons are also subject to decay.
A particle interaction or decay can be symmetric in several ways.
