On a thermodynamical model for dielectric relaxation phenomena

Ciancio, Vincenzo; Farsaci, Benedetto; Rogolino, Patrizia

doi:10.1016/j.physb.2009.08.047

Cited by 18 publications

(14 citation statements)

References 8 publications

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“…This has been possible because Prof. Kluitenberg proved that the polarization vector can be split into two parts. We have proved, in previous papers, [11][12][13][14][15] that the parameters called phenomenological and state coefficients, which appear in Kuitenberg's dielectric differential equation, depend on the perturbation and we have expressed them as a function of frequency of an harmonic perturbation by means of the relations, obtained by us, between these parameters and some frequencies depending on moduli which can be directly measured.…”

Section: Dielectric Properties Approachmentioning

confidence: 70%

“…At present, we are not able to explain this by a biological point of view, but it may be that this point will change with the variations of level of glucose. 1,0x10 13 1,5x10 13 2,0x10 13 2,5x10 13 3,0x10 13 3,5x10 13 4,0x10 1,0x10 13 1,5x10 13 2,0x10 13 2,5x10 13 3,0x10 13 3,5x10 13 4,0x10 13 entropy production ω normal diabetic Fig. 8.…”

Section: Results and Conclusionmentioning

confidence: 99%

“…In previous papers, [11][12][13][14][15] we approached the study of dielectric properties of a medium by another point of view: we investigated the behavior of phenomenological and state coefficients assuming as known harmonic perturbation and the response of the medium. This leads to the determination of the aforementioned coefficients as function of the frequency of perturbation, as aforementioned.…”

Section: Dielectric Properties Approachmentioning

confidence: 99%

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Dielectric properties of human diabetic blood: Thermodynamic characterization and new prospective for alternative diagnostic techniques

et al. 2015

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In this paper, we will show the possibility of studying physical properties and irreversible phenomena that occur in blood by applying the dielectric Kluitenberg's nonequilibrium thermodynamic theory. Namely, we shall use some recent extensions of this theory that allow to infer its main characteristic parameters from experimental measures. Applying these results to the study of normal and diabetic blood we show, by comparing them, that it is possible to determine the difference, in some details, of the amount of particular phenomena occurring inside them and give a biological meaning to these phenomena. Moreover, observing a correspondence between a particular value of the frequency for which state coefficients are equal and glucose levels we introduce an alternative diagnostic method to measure the values of the glucose in the blood by determining only this frequency value. The thermodynamic description will be completed by determining the trend of the entropy production.

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Section: Dielectric Properties Approachmentioning

confidence: 70%

Section: Results and Conclusionmentioning

confidence: 99%

Section: Dielectric Properties Approachmentioning

confidence: 99%

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Dielectric properties of human diabetic blood: Thermodynamic characterization and new prospective for alternative diagnostic techniques

et al. 2015

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“…In this paper, we follow the thermodynamic theory with internal variables of Kluitenberg [3][4][5][6][7] and we will evaluate the entropy production of a system when it is subjected to an ultrasound wave. Indeed, in previous papers, this has been done but the system was perturbed by an electric field or mechanical vibrations [8][9][10][11][12][13][14][15][16]. Moreover, we will apply the so-obtained results to biological systems such as blood.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the human blood entropy production: a new thermodynamic approach

et al. 2016

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In this paper, we follow the thermodynamic theory with internal variables of Kluitenberg evaluating the entropy production of red blood cell in saline solution and whole blood, respectively, when they are subjected to an ultrasound wave. From a thermodynamic point of view, blood is an open system; so to fully represent the entropy variation as function of frequency perturbation we employ phenomenological coefficients which allow us to qualitatively discriminate among classes of phenomena which cannot be observed in any other way. Therefore, a correlation between these coefficients and quantities experimentally measurable allows to a deeper knowledge of biological phenomena.Keywords Blood Á Entropy Á Non-equilibrium thermodynamic Á Red blood cells Á Ultrasound Sommario In questo lavoro, utilizzando la teoria termodinamica di Kluitenberg con variabili interne, viene valutata la produzione di entropia nel sangue intero e nei globuli rossi, quando questo viene perturbato con ultrasuoni in funzione della frequenza. Poiché da un punto di vista termodinamico, il sangue è un sistema aperto, determinare la variazione di entropia in funzione della frequenza è della massima importanza. A tale scopo vengono determinati i coefficienti fenomenologici da cui essa dipende, i quali, inoltre, permettono di discriminare qualitativamente classi di fenomeni che altrimenti non vengono considerate. Pertanto, una correlazione tra questi coefficienti e le quantità sperimentalmente misurabili permette di approfondire la conoscenza dei fenomeni biologici.

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“…In these models (3)-(6), the fractional nature of complex permittivity, due to the presence of the α parameter how power the time's constant τ, is evident. From the thermodynamic point of view, the dielectric relaxation phenomenon has been extensively treated [11][12][13][14]. In these works, the use of internal variables called phenomenological coefficients led to Debye's generalized equation with two constants of time:…”

Section: Introductionmentioning

confidence: 99%

A Fractional Complex Permittivity Model of Media with Dielectric Relaxation

Ciancio

Flora

2017

Fractal Fract

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Abstract:In this work, we propose a fractional complex permittivity model of dielectric media with memory. Debye's generalized equation, expressed in terms of the phenomenological coefficients, is replaced with the corresponding differential equation by applying Caputo's fractional derivative. We observe how fractional order depends on the frequency band of excitation energy in accordance with the 2nd Principle of Thermodynamics. The model obtained is validated with respect to the measurements made on the biological tissues and in particular on the human aorta.

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On a thermodynamical model for dielectric relaxation phenomena

Cited by 18 publications

References 8 publications

Dielectric properties of human diabetic blood: Thermodynamic characterization and new prospective for alternative diagnostic techniques

Dielectric properties of human diabetic blood: Thermodynamic characterization and new prospective for alternative diagnostic techniques

Evaluation of the human blood entropy production: a new thermodynamic approach

A Fractional Complex Permittivity Model of Media with Dielectric Relaxation

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