Robust determination of relaxation times spectra of long-time multirelaxation processes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F23%3A00573986" target="_blank" >RIV/61388998:_____/23:00573986 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pre/abstract/10.1103/PhysRevE.107.035302" target="_blank" >https://journals.aps.org/pre/abstract/10.1103/PhysRevE.107.035302</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.107.035302" target="_blank" >10.1103/PhysRevE.107.035302</a>
Alternative languages
Result language
angličtina
Original language name
Robust determination of relaxation times spectra of long-time multirelaxation processes
Original language description
Long-time relaxation processes occur in numerous physical systems. They are often regarded as multirelaxation processes, which are a superposition of exponential decays with a certain distribution of relaxation times. The relaxation times spectra often convey information about the underlying physics. Extracting the spectrum of relaxation times from experimental data is, however, difficult. This is partly due to the mathematical properties of the problem and partly due to experimental limitations. In this paper, we perform the inversion of time-series relaxation data into a relaxation spectrum using the singular value decomposition accompanied by the Akaike information criterion estimator.We show that this approach does not need any apriori information on the spectral shape and that it delivers a solution that consistently approximates the best one achievable for given experimental dataset. On the contrary, we show that the solution obtained imposing an optimal fit of experimental data is often far from reconstructing well the distribution of relaxation times.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20501 - Materials engineering
Result continuities
Project
<a href="/en/project/EF15_003%2F0000493" target="_blank" >EF15_003/0000493: Centre of Excellence for Nonlinear Dynamic Behaviour of Advanced Materials in Engineering</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review E
ISSN
2470-0045
e-ISSN
2470-0053
Volume of the periodical
107
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
035302
UT code for WoS article
001130477000008
EID of the result in the Scopus database
2-s2.0-85151336573