Applicability of stretched exponential functions for describing dynamics in disordered solid materials

D. Apitz; Thomas Garm Pedersen; P. M. Johansen

doi:10.1117/12.566075

Applicability of stretched exponential functions for describing dynamics in disordered solid materials

D. Apitz^*, Thomas Garm Pedersen, P. M. Johansen

^*Kontaktforfatter

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

1 Citationer (Scopus)

Abstract

Investigating dynamics in a disordered solid material below, at, and well above glass transition temperature, we show that (1) to describe glass dynamics entirely it has to be regarded over a long range on logarithmic time scale, (2) a single stretched exponential function (Kohlrausch-Williams-Watts) can never describe the data, (3) stretching exponents do not cover the ranges previously suggested (from 0 to 1, e.g. as a sigmoid function). Optically recorded dynamics (measured by ellipsometry) is brought into connection with dielectric spectroscopy.

Originalsprog	Engelsk
Titel	Proc. SPIE 5521, Organic Holographic Materials and Applications II
Redaktører	Klaus Meerholz
Antal sider	9
Vol/bind	5521
Forlag	SPIE - International Society for Optical Engineering
Publikationsdato	2004
Sider	181-189
Artikelnummer	29
DOI	https://doi.org/10.1117/12.566075
Status	Udgivet - 2004
Begivenhed	SPIE International Symposium on Optical Science and Technology: 49th SPIE Annual Meeting - Denver, CO, USA Varighed: 2 aug. 2004 → 6 aug. 2004 Konferencens nummer: 49

Konference

Konference	SPIE International Symposium on Optical Science and Technology
Nummer	49
Land/Område	USA
By	Denver, CO
Periode	02/08/2004 → 06/08/2004

Navn	Proceedings of S P I E - International Society for Optical Engineering
Vol/bind	5521
ISSN	0277-786X

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10.1117/12.566075

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Citationsformater

Apitz, D., Pedersen, T. G., & Johansen, P. M. (2004). Applicability of stretched exponential functions for describing dynamics in disordered solid materials. I K. Meerholz (red.), Proc. SPIE 5521, Organic Holographic Materials and Applications II (Bind 5521, s. 181-189). Artikel 29 SPIE - International Society for Optical Engineering. https://doi.org/10.1117/12.566075

Apitz, D. ; Pedersen, Thomas Garm ; Johansen, P. M. / Applicability of stretched exponential functions for describing dynamics in disordered solid materials. Proc. SPIE 5521, Organic Holographic Materials and Applications II. red. / Klaus Meerholz. Bind 5521 SPIE - International Society for Optical Engineering, 2004. s. 181-189 (Proceedings of S P I E - International Society for Optical Engineering, Bind 5521).

@inproceedings{41d5d54ae8724148b408722be18620e4,

title = "Applicability of stretched exponential functions for describing dynamics in disordered solid materials",

abstract = "Investigating dynamics in a disordered solid material below, at, and well above glass transition temperature, we show that (1) to describe glass dynamics entirely it has to be regarded over a long range on logarithmic time scale, (2) a single stretched exponential function (Kohlrausch-Williams-Watts) can never describe the data, (3) stretching exponents do not cover the ranges previously suggested (from 0 to 1, e.g. as a sigmoid function). Optically recorded dynamics (measured by ellipsometry) is brought into connection with dielectric spectroscopy.",

keywords = "Disordered materials, Ellipsometry, Stretched exponential",

author = "D. Apitz and Pedersen, {Thomas Garm} and Johansen, {P. M.}",

year = "2004",

doi = "10.1117/12.566075",

language = "English",

volume = "5521",

series = "Proceedings of S P I E - International Society for Optical Engineering",

publisher = "SPIE - International Society for Optical Engineering",

pages = "181--189",

editor = "Klaus Meerholz",

booktitle = "Proc. SPIE 5521, Organic Holographic Materials and Applications II",

address = "United States",

note = "SPIE International Symposium on Optical Science and Technology ; Conference date: 02-08-2004 Through 06-08-2004",

}

Apitz, D, Pedersen, TG & Johansen, PM 2004, Applicability of stretched exponential functions for describing dynamics in disordered solid materials. i K Meerholz (red.), Proc. SPIE 5521, Organic Holographic Materials and Applications II. bind 5521, 29, SPIE - International Society for Optical Engineering, Proceedings of S P I E - International Society for Optical Engineering, bind 5521, s. 181-189, SPIE International Symposium on Optical Science and Technology, Denver, CO, USA, 02/08/2004. https://doi.org/10.1117/12.566075

Applicability of stretched exponential functions for describing dynamics in disordered solid materials. / Apitz, D.; Pedersen, Thomas Garm ; Johansen, P. M.
Proc. SPIE 5521, Organic Holographic Materials and Applications II. red. / Klaus Meerholz. Bind 5521 SPIE - International Society for Optical Engineering, 2004. s. 181-189 29 (Proceedings of S P I E - International Society for Optical Engineering, Bind 5521).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Applicability of stretched exponential functions for describing dynamics in disordered solid materials

AU - Apitz, D.

AU - Pedersen, Thomas Garm

AU - Johansen, P. M.

N1 - Conference code: 49

PY - 2004

Y1 - 2004

N2 - Investigating dynamics in a disordered solid material below, at, and well above glass transition temperature, we show that (1) to describe glass dynamics entirely it has to be regarded over a long range on logarithmic time scale, (2) a single stretched exponential function (Kohlrausch-Williams-Watts) can never describe the data, (3) stretching exponents do not cover the ranges previously suggested (from 0 to 1, e.g. as a sigmoid function). Optically recorded dynamics (measured by ellipsometry) is brought into connection with dielectric spectroscopy.

AB - Investigating dynamics in a disordered solid material below, at, and well above glass transition temperature, we show that (1) to describe glass dynamics entirely it has to be regarded over a long range on logarithmic time scale, (2) a single stretched exponential function (Kohlrausch-Williams-Watts) can never describe the data, (3) stretching exponents do not cover the ranges previously suggested (from 0 to 1, e.g. as a sigmoid function). Optically recorded dynamics (measured by ellipsometry) is brought into connection with dielectric spectroscopy.

KW - Disordered materials

KW - Ellipsometry

KW - Stretched exponential

U2 - 10.1117/12.566075

DO - 10.1117/12.566075

M3 - Article in proceeding

AN - SCOPUS:13444263591

VL - 5521

T3 - Proceedings of S P I E - International Society for Optical Engineering

SP - 181

EP - 189

BT - Proc. SPIE 5521, Organic Holographic Materials and Applications II

A2 - Meerholz, Klaus

PB - SPIE - International Society for Optical Engineering

T2 - SPIE International Symposium on Optical Science and Technology

Y2 - 2 August 2004 through 6 August 2004

ER -

Apitz D, Pedersen TG , Johansen PM. Applicability of stretched exponential functions for describing dynamics in disordered solid materials. I Meerholz K, red., Proc. SPIE 5521, Organic Holographic Materials and Applications II. Bind 5521. SPIE - International Society for Optical Engineering. 2004. s. 181-189. 29. (Proceedings of S P I E - International Society for Optical Engineering, Bind 5521). doi: 10.1117/12.566075

Applicability of stretched exponential functions for describing dynamics in disordered solid materials

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