Speaker
Mr
Marcin Majka
(The Henryk Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences)
Description
A distribution of relaxation times results in a relaxation described by formulae more complex than a single decreasing exponential function. A known example is the stretched exponential function [1] often treated as a continuous linear combination of purely exponential decays [2]. An experiment providing the relaxation function and the appropriate impulse response, i.e. the response of the system to the Dirac’s delta-like perturbation would be an evidence of a multiscale origin of the phenomenon. On the other hand, a non-exponential decay may result from a relaxation of a single anharmonic element without any recourse to different time scales. The amplitude-dependent response functions will be presented and the selected experimental data will be analyzed with both methods of description. Criteria will be proposed to distinguish the multiscale and nonlinear [3] mechanisms of non-exponential decay. A sonic effect of reverberation with continuous and discrete distribution of relaxation times will be used to demonstrate how the ordinary exponential and non-exponential regimes affect the intelligibility of speech and music.
References
[1] R. Metzler, J. Klafter , Journal of Non-Crystalline Solids 305 (2002) 81
[2] see e.g. M.N. Berberan-Santos, E.N. Bodunov, B. Valeur. Chemical Physics 315 (2005), 171
[3] P. Zieliński, Physica B Condensed Matter 316 (2002) 603
Primary author
Mr
Marcin Majka
(The Henryk Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences)
Co-authors
Mrs
Dominika Kuźma
(The H. Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences)
Mr
Paweł Sobieszczyk
(Institute of Nuclear Physics PAN)
Prof.
Piotr Zielinski
(Institute of Nuclear Physics, Polish Academy of Sciences)
