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Compressed exponential relaxation.
Attenuation is modeled with exponential relaxation functions which allow a differential formulation based on memory variables.
Furthermore, time-correlated single photon counting measurements provide evidence of three exponential relaxation channels on the nanosecond timescale.
The relaxation kinetics was well described by a stretched exponential relaxation function, Φ t)="exp[- t/τ)β].
The results show stretched exponential relaxation over a wide time interval, with a precision orders of magnitude better than in previous studies.
These measurements can be described by dynamical fingerprints, i.e., densities of relaxation timescales where each peak corresponds to an exponential relaxation process.
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However, there are also viewpoints stating that this decay can be also generated by the non-coherent superposition of various exponential relaxations with different decay rate constants.
Stretched-exponential relaxation.
This multi-exponential relaxation is rarely measured by conventional MRI imaging protocols; mono-exponential relaxation times are measured instead, thus limiting information about of the microstructure and water status in vegetal cells.
Non-exponential relaxation in a simplified lattice model of folding is studied with Monte Carlo (MC) calculation.
In terms of heterogeneity [11], the non-exponential relaxation kinetics can be described by heterogeneity factor h (which is inverse stretching factor 1/β), giving the degree of system deviation from homogeneous single-exponential relaxation function.
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