Macroscopic non-equilibrium thermodynamics in dynamic calorimetry

Garden, Jean‐Luc

doi:10.1016/j.tca.2006.08.017

Cited by 39 publications

(64 citation statements)

References 94 publications

(166 reference statements)

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“…This general expression has been used by one of us to derive the so-called expression of the frequency dependent complex heat capacity under linear regime assumption. 33 Following the same principle, Schmelzer and coworkers 18,24 have derived these results basing their reasoning solely on the order parameter ξ . In extending their result to the affinity they conclude that the derivative of the affinity can be neglected in the Eq.…”

Section: Configurational Specific Heatmentioning

confidence: 98%

Affinity and its derivatives in the glass transition process

Garden

Guillou

Richard

et al. 2012

The Journal of Chemical Physics

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The thermodynamic treatment of the glass transition remains an issue of intense debate. When associated with the formalism of non-equilibrium thermodynamics, the lattice-hole theory of liquids can provide new insight in this direction, as has been shown by Schmelzer and Gutzow [J. Chem. Phys. 125, 184511 (2006) (2011)]. Here, we employ a similar approach. We include pressure as an additional variable, in order to account for the freezing-in of structural degrees of freedom upon pressure increase. Second, we demonstrate that important terms concerning first order derivatives of the affinity-driving-force with respect to temperature and pressure have been previously neglected. We show that these are of crucial importance in the approach. Macroscopic non-equilibrium thermodynamics is used to enlighten these contributions in the derivation of C p ,κ T , and α p . The coefficients are calculated as a function of pressure and temperature following different theoretical protocols, revealing classical aspects of vitrification and structural recovery processes. Finally, we demonstrate that a simple minimalist model such as the lattice-hole theory of liquids, when being associated with rigorous use of macroscopic non-equilibrium thermodynamics, is able to account for the primary features of the glass transition phenomenology. Notwithstanding its simplicity and its limits, this approach can be used as a very pedagogical tool to provide a physical understanding on the underlying thermodynamics which governs the glass transition process.

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Section: Configurational Specific Heatmentioning

confidence: 98%

Affinity and its derivatives in the glass transition process

Garden

Guillou

Richard

et al. 2012

The Journal of Chemical Physics

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“…It is expected that dynamic calorimetry can provide an insight into the energy landscape dynamics; cf., for example, [89][90][91][92]. Usually, one associates the imaginary part of linear susceptibility with the absorption of energy by the sample from the applied field.…”

Section: Complex Heat Capacitymentioning

confidence: 99%

Tsallis Distribution Decorated with Log-Periodic Oscillation

Wilk

Włodarczyk

2015

Entropy

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In many situations, in all branches of physics, one encounters the power-like behavior of some variables, which is best described by a Tsallis distribution characterized by a nonextensivity parameter q and scale parameter T . However, there exist experimental results that can be described only by a Tsallis distributions, which are additionally decorated by some log-periodic oscillating factor. We argue that such a factor can originate from allowing for a complex nonextensivity parameter q. The possible information conveyed by such an approach (like the occurrence of complex heat capacity, the notion of complex probability or complex multiplicative noise) will also be discussed.

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“…For more detailed discussions and studies the reader is referred to Birge and Nagel (1985), Garden (2007aGarden ( , 2007b or Lion and Yagimli (2009). In Lion and Yagimli (2009), it has been shown that the imaginary part of the complex specific heat (4.12) can be attributed to the entropy production per temperature cycle.…”

Section: Frequency-dependence Of Specific Heat and Thermal Expansionmentioning

confidence: 99%