Integro-Differential Equation for the Non-Equilibrium Thermal Response of Glass-Forming Materials: Analytical Solutions
Keyword(s):
An integro-differential equation describes the non-equilibrium thermal response of glass-forming substances with a dynamic (time-dependent) heat capacity to fast thermal perturbations. We found that this heat transfer problem could be solved analytically for a heat source with an arbitrary time dependence and different geometries. The method can be used to analyze the response to local thermal perturbations in glass-forming materials, as well as temperature fluctuations during subcritical crystal nucleation and decay. The results obtained can be useful for applications and a better understanding of the thermal properties of glass-forming materials, polymers, and nanocomposites.
1994 ◽
Vol 14
(3)
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pp. 261-271
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2000 ◽
Vol 10
(PR7)
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pp. Pr7-251-Pr7-254
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2014 ◽
Vol 17
(9)
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pp. 763-784
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2018 ◽
pp. 491
2005 ◽
Vol 08
(02)
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pp. 239-253
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