Residual entropy and structural disorder in glass: A two-level model and a review of spatial and ensemble vs. temporal sampling

Takada, Akira; Conradt, Reinhard; Richet, Pascal

doi:10.1016/j.jnoncrysol.2012.10.002

Cited by 12 publications

(8 citation statements)

References 50 publications

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“…Author Contributions: Akira Takada, Reinhard Conradt and Pascal Richet have been discussing entropy issues since they published three papers [8][9][10]. On the basis of the long-term, discussion on entropy issues, Akira Takada conceived and designed the original theoretical scheme.…”

Section: Discussionmentioning

confidence: 99%

“…In spite of their practical interest, however, such models with one order parameter have limitations that have called for more complex analyses [7]. In this respect, our new approach is to make use of the concept of spatial sampling of microstates, whose advantages over ensemble and temporal samplings have been pointed out in our previous discussions of entropy in non-equilibrium systems [8][9][10]. Rather than modifying Equation (1) or (2), we begin with the construction of an extended canonical partition function.…”

Section: Introductionmentioning

confidence: 99%

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Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model

Takada

Conradt

Richet

2018

Entropy

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Abstract:A new model of non-equilibrium thermodynamic states has been investigated on the basis of the fact that all thermodynamic variables can be derived from partition functions. We have thus attempted to define partition functions for non-equilibrium conditions by introducing the concept of pseudo-temperature distributions. These pseudo-temperatures are configurational in origin and distinct from kinetic (phonon) temperatures because they refer to the particular fragments of the system with specific energies. This definition allows thermodynamic states to be described either for equilibrium or non-equilibrium conditions. In addition; a new formulation of an extended canonical partition function; internal energy and entropy are derived from this new temperature definition. With this new model; computational experiments are performed on simple non-interacting systems to investigate cooling and two distinct relaxational effects in terms of the time profiles of the partition function; internal energy and configurational entropy.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model

Takada

Conradt

Richet

2018

Entropy

Self Cite

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“…A popular, but not rigorous ME-approach can be used in the case of physical situations for which interacting systems A and B are known and well-defined so that one constructs the corresponding ME-equation of motion for the PD [1]. A beautiful instantiation of the ME-procedure is presented by Takada, Conradt, and Richet (TCR) in [2], for example, we will follow here without further ado.…”

Section: Preliminariesmentioning

confidence: 99%

“…Inspired by [2], we wish to address here a different problem. We will tackle a quantum many-body system of interacting fermions, advanced in [3], for which the interaction is ruled by an SU2 algebra.…”

Section: Present Goalmentioning

confidence: 99%

“…We will tackle a quantum many-body system of interacting fermions, advanced in [3], for which the interaction is ruled by an SU2 algebra. The system is heated and cooled as depicted in Figure 1, and we will deal with a master coupled system of N equations (not just two as in [2]). The thermal process will compete with the fermion-fermion interaction's effects.…”

Section: Present Goalmentioning

confidence: 99%

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Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States

Plastino¹,

Ferri²,

Rocca³

et al. 2020

JMP

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We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.

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Structural and Stress Relaxation in Glass‐Forming Liquids

Fotheringham

2021

Encyclopedia of Glass Science, Technology, History, and Culture

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Residual entropy and structural disorder in glass: A two-level model and a review of spatial and ensemble vs. temporal sampling

Cited by 12 publications

References 50 publications

Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model

Partition Function and Configurational Entropy in Non-Equilibrium States: A New Theoretical Model

Information-Based Numerical Distances between Equilibrium and Non-Equilibrium States

Structural and Stress Relaxation in Glass‐Forming Liquids

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