2002/10/22 by A.K. Jonscher, Jonscher, Andrew K., Agnieszka Jurlewicz +3
Chemical Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Thermodynamic properties of mixtures
paper · pdf · doi:10.48550/arxiv.cond-mat/0210481
openalex publication_date 2002/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Unlike the classical exponential relaxation law, the widely prevailing universal law with its fractional power-law dependence of susceptibility on frequency cannot be explained in the framework of any intuitively simple physical concept. The resulting constancy of the ratio of the imaginary to the real parts of the complex susceptibility, known as the ``energy criterion'', has a pleasing simplicity but the understanding of its origins needs a special theoretical treatment. A fresh light on the stochastic nature of the dielectric relaxation has been shed by a novel stochastic approach introduced in the last decade. Since the theoretical analysis involved is rather unfamiliar, the aim of this paper is to give some useful comments and suggestions which should help to follow in details the proposed stochastic scheme of relaxation leading to the well-known empirical responses. We justify the universality of the power-law macroscopic response as well as Jonscher's screening and energy criterion ideas, and we give a new basis to the research into the significance of relaxation processes.