Non-exponential relaxation in disordered complex systems
Ekrem Aydiner
TL;DR
This paper derives an analytical expression for the non-exponential, stretched exponential relaxation behavior observed in disordered complex systems using a multi-level jumping formalism.
Contribution
It introduces a novel analytical approach applying multi-level jumping formalism to model relaxation in disordered systems, revealing non-exponential decay patterns.
Findings
Relaxation follows a stretched exponential decay.
Analytical derivation aligns with observed non-exponential relaxation.
Method applicable to various disordered complex systems.
Abstract
We have analytically obtained the non-exponential relaxation function for disordered complex systems applying the multi-level jumping formalism to the fluctuation quantity which makes diffusive motion stochastically in the disordered complex space. It is shown that the relaxation function of disordered complex systems decays obey to stretched exponential law.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Theoretical and Computational Physics · Material Dynamics and Properties