DOI: 10.1063/1.4775802. Dependence of the width of the glass transition interval on cooling and heating rates

Dependence of the width of the glass transition interval on cooling and heating rates

10.1063/1.4775802

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

In a preceding paper [J. W. P. Schmelzer, J. Chem. Phys. 136, 074512 (2012)10.1063/1.3685510], a general kinetic criterion of glass formation has been advanced allowing one to determine theoretically the dependence of the glass transition temperature on cooling and heating rates (or similarly on the rate of change of any appropriate control parameter determining the transition of a stable or metastable equilibrium system into a frozen-in, non-equilibrium state of the system, a glass). In the present paper, this criterion is employed in order to develop analytical expressions for the dependence of the upper and lower boundaries and of the width of the glass transition interval on the rate of change of the external control parameters. It is shown, in addition, that the width of the glass transition range is strongly correlated with the entropy production at the glass transition temperature. The analytical results are supplemented by numerical computations. Analytical results and numerical computations as well as existing experimental data are shown to be in good agreement.

Bibliography

Schmelzer, J. W. P., & Tropin, T. V. (2013). Dependence of the width of the glass transition interval on cooling and heating rates. The Journal of Chemical Physics, 138(3).

Authors 2

Jürn W. P. Schmelzer (first)
Timur V. Tropin (additional)

References 24 Referenced 24

{'volume-title': 'The Vitreous State: Thermodynamics, Structure, Rheology, and Crystallization', 'year': '1995', 'key': '2023062520500805000_c1'} / The Vitreous State: Thermodynamics, Structure, Rheology, and Crystallization (1995)
{'volume-title': 'Glasses and the Glass Transition', 'year': '2011', 'key': '2023062520500805000_c2'} / Glasses and the Glass Transition (2011)
10.1063/1.3685510 / J. Chem. Phys. (2012)
{'key': '2023062520500805000_c4a', 'first-page': '373', 'volume': '69', 'year': '1949', 'journal-title': 'Dokl. Akad. Nauk SSSR'} / Dokl. Akad. Nauk SSSR (1949)
{'key': '2023062520500805000_c4b', 'first-page': '227', 'volume': '76', 'year': '1951', 'journal-title': 'Dokl. Akad. Nauk SSSR'} / Dokl. Akad. Nauk SSSR (1951)
10.1111/j.1151-2916.1954.tb14053.x / J. Am. Ceram. Soc. (1954)
10.1063/1.2751411 / Rev. Sci. Instrum. (2007)
10.1016/j.tca.2010.03.019 / Thermochim. Acta (2010)
10.1016/j.jnoncrysol.2010.11.111 / J. Non-Cryst. Solids (2011)
10.1016/j.jnoncrysol.2010.12.005 / J. Non-Cryst. Solids (2011)
{'key': '2023062520500805000_c10', 'first-page': '368', 'article-title': 'Glass transition: An analysis in terms of a differential geometry approach', 'volume-title': 'Nucleation Theory and Applications', 'author': 'Schmelzer', 'year': '1999'} / Nucleation Theory and Applications / Glass transition: An analysis in terms of a differential geometry approach by Schmelzer (1999)
10.1063/1.481733 / J. Chem. Phys. (2000)
10.1023/A:1011384427512 / Glass Phys. Chem. (2001)
10.1016/S0022-3093(02)00997-3 / J. Non-Cryst. Solids (2002)
10.1063/1.2346673 / J. Chem. Phys. (2006)
10.1098/rspa.1934.0132 / Proc. R. Soc. London (1934)
10.1111/j.1151-2916.1946.tb11592.x / J. Am. Ceram. Soc. (1946)
10.1016/S0022-3093(98)00607-3 / J. Non-Cryst. Solids (1998)
{'volume-title': 'Vitrification', 'year': '1986', 'key': '2023062520500805000_c18'} / Vitrification (1986)
10.1134/S108765960701004X / Glass Phys. Chem. (2007)
{'volume-title': 'Thermodynamic Theory of Affinity', 'year': '1936', 'key': '2023062520500805000_c20'} / Thermodynamic Theory of Affinity (1936)
{'volume-title': 'Chemical Thermodynamics', 'year': '1954', 'key': '2023062520500805000_c21'} / Chemical Thermodynamics (1954)
{'key': '2023062520500805000_c22', 'first-page': '795', 'volume': '103', 'year': '1955', 'journal-title': 'Dokl. Akad. Nauk SSSR'} / Dokl. Akad. Nauk SSSR (1955)
{'key': '2023062520500805000_c23', 'first-page': '2204', 'volume': '26', 'year': '1956', 'journal-title': 'Zh. Tekh. Fiz.'} / Zh. Tekh. Fiz. (1956)

Dates

Type	When
Created	12 years, 7 months ago (Jan. 18, 2013, 8 p.m.)
Deposited	2 years, 2 months ago (June 25, 2023, 4:50 p.m.)
Indexed	3 weeks, 5 days ago (July 30, 2025, 7 a.m.)
Issued	12 years, 7 months ago (Jan. 18, 2013)
Published	12 years, 7 months ago (Jan. 18, 2013)
Published Online	12 years, 7 months ago (Jan. 18, 2013)
Published Print	12 years, 7 months ago (Jan. 21, 2013)

Funders 1

Deutsche Forschungsgemeinschaft 10.13039/501100001659
Region: Europe
gov (National government)
Labels3
1. German Research Association
2. German Research Foundation
3. DFG
Awards1
1. DFG: SCHM 937/16-1

BibTeX

@article{Schmelzer_2013, title={Dependence of the width of the glass transition interval on cooling and heating rates}, volume={138}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.4775802}, DOI={10.1063/1.4775802}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Schmelzer, Jürn W. P. and Tropin, Timur V.}, year={2013}, month=jan }

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