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

^*Corresponding author for this work

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

1 Citation (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.

Original language	English
Title of host publication	Proc. SPIE 5521, Organic Holographic Materials and Applications II
Editors	Klaus Meerholz
Number of pages	9
Volume	5521
Publisher	SPIE - International Society for Optical Engineering
Publication date	2004
Pages	181-189
Article number	29
DOIs	https://doi.org/10.1117/12.566075
Publication status	Published - 2004
Event	SPIE International Symposium on Optical Science and Technology: 49th SPIE Annual Meeting - Denver, CO, United States Duration: 2 Aug 2004 → 6 Aug 2004 Conference number: 49

Conference

Conference	SPIE International Symposium on Optical Science and Technology
Number	49
Country/Territory	United States
City	Denver, CO
Period	02/08/2004 → 06/08/2004

Series	Proceedings of S P I E - International Society for Optical Engineering
Volume	5521
ISSN	0277-786X

Keywords

Disordered materials
Ellipsometry
Stretched exponential

Access to Document

10.1117/12.566075

http://www.scopus.com/inward/record.url?scp=13444263591&partnerID=8YFLogxK

AUB Link

Search for the material in Aalborg University Library's search engine

Cite this

Apitz, D., Pedersen, T. G., & Johansen, P. M. (2004). Applicability of stretched exponential functions for describing dynamics in disordered solid materials. In K. Meerholz (Ed.), Proc. SPIE 5521, Organic Holographic Materials and Applications II (Vol. 5521, pp. 181-189). Article 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. editor / Klaus Meerholz. Vol. 5521 SPIE - International Society for Optical Engineering, 2004. pp. 181-189 (Proceedings of S P I E - International Society for Optical Engineering, Vol. 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. in K Meerholz (ed.), Proc. SPIE 5521, Organic Holographic Materials and Applications II. vol. 5521, 29, SPIE - International Society for Optical Engineering, Proceedings of S P I E - International Society for Optical Engineering, vol. 5521, pp. 181-189, SPIE International Symposium on Optical Science and Technology, Denver, CO, United States, 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. ed. / Klaus Meerholz. Vol. 5521 SPIE - International Society for Optical Engineering, 2004. p. 181-189 29 (Proceedings of S P I E - International Society for Optical Engineering, Vol. 5521).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › 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. In Meerholz K, editor, Proc. SPIE 5521, Organic Holographic Materials and Applications II. Vol. 5521. SPIE - International Society for Optical Engineering. 2004. p. 181-189. 29. (Proceedings of S P I E - International Society for Optical Engineering, Vol. 5521). doi: 10.1117/12.566075

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

Abstract

Conference

Keywords

Access to Document

AUB Link

Fingerprint

Cite this