On clean grain-boundaries involving growth of nonequilibrium crystalline-amorphous superconducting materials addressed by a phenomenological viewpoint

Gadomski, Adam; Kruszewska, Natalia

doi:10.1140/epjb/e2012-30897-y

Cited by 7 publications

(21 citation statements)

References 29 publications

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“…For example, in Ref. [34], a fractional anomalous-growth equation employing a Riemann-Liouville derivative has been introduced to describe nucleation-and-growth processes in superconducting materials like weakly viscoelastic cuprate systems where a relationship between the order of the fractional derivative and the fractal dimension of an anomalous random walk process was found. Another example is the use of Weyl derivatives to describe nucleation-and-growth processes in model lipid membranes [35].…”

Section: Discussionmentioning

confidence: 99%

Fractional Time Fluctuations in Viscoelasticity: A Comparative Study of Correlations and Elastic Moduli

Rodríguez

Salinas-Rodríguez

Fujioka

2018

Entropy

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Abstract:We calculate the transverse velocity fluctuations correlation function of a linear and homogeneous viscoelastic liquid by using a generalized Langevin equation (GLE) approach. We consider a long-ranged (power-law) viscoelastic memory and a noise with a long-range (power-law) auto-correlation. We first evaluate the transverse velocity fluctuations correlation function for conventional time derivativesĈ NF − → k , t and then introduce time fractional derivatives in their equations of motion and calculate the corresponding fractional correlation function. We find that the magnitude of the fractional correlationĈ F − → k , t is always lower than the non-fractional one and decays more rapidly. The relationship between the fractional loss modulusis also calculated analytically. The difference between the values of G (ω) for two specific viscoelastic fluids is quantified. Our model calculation shows that the fractional effects on this measurable quantity may be three times as large as compared with its non-fractional value. The fact that the dynamic shear modulus is related to the light scattering spectrum suggests that the measurement of this property might be used as a suitable test to assess the effects of temporal fractional derivatives on a measurable property. Finally, we summarize the main results of our approach and emphasize that the eventual validity of our model calculations can only come from experimentation.

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Section: Discussionmentioning

confidence: 99%

Fractional Time Fluctuations in Viscoelasticity: A Comparative Study of Correlations and Elastic Moduli

Rodríguez

Salinas-Rodríguez

Fujioka

2018

Entropy

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“…In the mentioned multiseeding method, the number of top-seeded layers amplifies the overall effect of squeezing out the undesired molten phase. It has also been utilized in constructing a cuprate's formation model presented by a recent study [8]. The model describes a polycrystalline cuprate's formation within a nucleation-growth phase transition.…”

Section: Introductionmentioning

confidence: 99%

“…As a consequence, it led to a microstructure's growth equation formulated in terms of fractional dynamics (FD) [9,10]. A more closer (than in [8]) look at the dynamics revealed two distinguishable time scales. In what follows, we wish to explore this observation within the context of our method by making use of an address on fractional superconducting domain-growth dynamics, possibly with a Riemann-Liouville integro-differential operator of the order of α [9,11], pointing specifically to α = 1/2, cf.…”

Section: Introductionmentioning

confidence: 99%

“…[10]. Originally, α has been designated by ω in [8], thus suggesting a crucial involvement of diffusional grain growth, at least in the asymptotic (large times') limit.…”

Section: Introductionmentioning

confidence: 99%

“…In Sec. 3, we will make clear the passage between the SD presented in terms of its grain-growth addressing solutions, and the corresponding FD, as has been applied in a preliminary way to cuprate superconductors in [8]. An analogy to the superplastic material counterparts [3] has been introduced in a qualitative way.…”

Section: Introductionmentioning

confidence: 99%

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A Method of Mechanical Control of Structure-property Relationship in Grains-containing Material Systems

Kruszewska¹,

Weber²,

Gadomski³

et al. 2013

Acta Phys. Pol. B

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Material systems can grow indefinitely large unless there appear some physical restrictions superimposed on them. At first approximation, they can be restricted in their evolution by means of an external mechanical factor such as pressure. If the material system's evolution can be described by a Smoluchowski type equation in the phase space of grain sizes, the average grain size magnitude can be suitably controlled by such mechanical factor. Both magnitude and direction of the factor can render the grain sizes either bigger or smaller than the one expected without any influence of the factor. We propose to embody the mechanical factor in the drift term of the corresponding Smoluchowski equation, in general, derivable from the entropy production principle. Such an embodiment allows one to modify controllably (over certain distinguished time scales of the process) the grain sizes, thus, the mechanically affected material properties such as superplasticity or superconductivity. A simple econophysical example, addressing investment strategies upon random-market tensions, is added to support the overall rationale of the method thus developed.

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Green finance instruments: Exploring minibonds issuance in Italy

Cerqueti

Deffains‐Crapsky

Storani

2023

Corp Soc Responsibility Env

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In the context of green finance, minibonds play a crucial role. This financial instrument was introduced in 2012 as a valid alternative to bank credit for corporate financing, aimed mainly at small and medium-sized enterprises. Minibonds also represent useful support for implementing the ecological transaction agreed upon in COP 21, held in 2015 in Paris. Indeed, as of 2017, this instrument has been expanded from

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On clean grain-boundaries involving growth of nonequilibrium crystalline-amorphous superconducting materials addressed by a phenomenological viewpoint

Cited by 7 publications

References 29 publications

Fractional Time Fluctuations in Viscoelasticity: A Comparative Study of Correlations and Elastic Moduli

Fractional Time Fluctuations in Viscoelasticity: A Comparative Study of Correlations and Elastic Moduli

A Method of Mechanical Control of Structure-property Relationship in Grains-containing Material Systems

Green finance instruments: Exploring minibonds issuance in Italy

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