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Papers by Vincenzo Ciancio

Research paper thumbnail of Thermodynamical Theory of Dia-And Paramagnetic Materials

Research paper thumbnail of On heat conduction in media with isotropic microstructure

ABSTRACT In this paper we investigate the relation (dynamic equation of state) among the heat con... more ABSTRACT In this paper we investigate the relation (dynamic equation of state) among the heat conduction, deformation phenomena and the relaxation processes of an arbitrary number, say n, of scalar dynamic variables describing the main characteristic of microscopic dynamical structures developing during processes. The dynamic variables are due to chemical reactions, temperature disturbance of colloidal size or anything else. It is assumed that the irreversible processes in the medium can be described with the aid of non-equilibrium thermodynamics. We use standard procedure of non-equilibrium thermodynamics assuming also the transport of the dynamic variables.

Research paper thumbnail of A relativistic viscoanelastic model

Research paper thumbnail of Higher-dimensional black hole Geometric Thermodynamics

The pseudo-Riemannian Geometry is utilized in Mathematical Optimization, Thermodynamics or in Sta... more The pseudo-Riemannian Geometry is utilized in Mathematical Optimization, Thermodynamics or in Statistics as an important tool for recent research. Given a pseudo-Riemannian manifold (M, g) and a smooth function f : M → R, whose Hessian with respect to g is non-degenerate, one can define on M the associated pseudo-Riemannian Hessian metric h = Hess g f . In the following, we apply this methodology for describing the geometrical properties of some interesting mathematical objects like the higher dimensional Reissner-Nördstrom black holes. The paper is organized as follows. Section 1 reviews the history of pseudo-Riemannian Geometry and points out which Hessian is more convenient for physical problems. Section 2 gives the Christoffel symbols and the system of geodesics of pseudo-Riemannian manifold (M, h = Hess g f ), establishes the relation between the components of the curvature tensors field of (M, h) and (M, g), and determines the PDEs representing the coincidence between the Christoffel symbols of (M, h) and the Christoffel symbols of (M, g). The last section presents the comparison of null-length curves trajectories obtained with the two metrics for a 5-dimensional RN black hole.

Research paper thumbnail of Non-linear dissipative waves in viscoanelastic media

Physica A: Statistical Mechanics and its Applications, 1985

The propagation of non-linear dissipative waves in viscoanelastic media without memory is conside... more The propagation of non-linear dissipative waves in viscoanelastic media without memory is considered. By applying an asymptotic perturbative method the transport equation for the first perturbation term is obtained. Finally, it is shown that this equation can be reduced to an equation similar to Burger's equation.

Research paper thumbnail of Preface and front material

… , and Natural Sciences, 2009

... (39) GA Kluitenberg, L. Restuccia, ”Relativistic Theory ... Mongiovı Maria Stella : Dipartime... more ... (39) GA Kluitenberg, L. Restuccia, ”Relativistic Theory ... Mongiovı Maria Stella : Dipartimento di Metodi e Modelli Matem-atici, Universit`a degli Studi di Palermo, Palermo ... Peruzza Rosa Anna: Dipartimento di Metodi e Modelli Matematici, Universit`a degli Studi di Palermo, Palermo ...

Research paper thumbnail of The generalized burgers equation in viscoanelastic media with memory

Physica A: Statistical Mechanics and its Applications, 1987

In this paper the propagation of non-linear dissipative waves in viscoanelastic media with memory... more In this paper the propagation of non-linear dissipative waves in viscoanelastic media with memory is considered using a thermodynamic theory for mechanical relaxation phenomena proposed in some previous papers. In particular we investigate the contributions of the memory effects on the transport equation which governs the first perturbation term of the asymptotic solution of the basic equation. Finally, it is shown that the transport equation can be reduced to a generalized Burgers equation.

Research paper thumbnail of THERMODYNAMICAL THEORY OF DIA-AND PARAMAGNETIC MATERIALS

Research paper thumbnail of On connection between empirical and theoretical approach to relaxation phenomena in non-equilibrium thermodynamics

The theoretical approach to the study of relaxation phenomena in nonequilibrium thermodynamics is... more The theoretical approach to the study of relaxation phenomena in nonequilibrium thermodynamics is connected to the phenomenological and state coefficients that appear in constitutive equations of Kluitenberg-Ciancio's theory. In this paper we obtain a correlation between the coefficients aforementioned and some quantities experimentally measurable in the context linear response theory by considering a general rheological differential equation governing both mechanical and dielectric phenomena

Research paper thumbnail of F. Markus, K. Gambär A Variational Principle in Thermodynamics M. Fabrizio, A. Morro Reversible Processes in the Thermodynamics of Continuous Media

Research paper thumbnail of Plasticity as a consequence of the instability of viscoelastic flow. A thermodinamic description

Research paper thumbnail of THERMODYNAMIC WITH DYNAMIC DEGREES OF FREEDOM AND THE MECHANICS OF PARTICLES (*)

ABSTRACT Nonequilibrium thermodynamics of systems with dynamic degrees of freedom is applied to s... more ABSTRACT Nonequilibrium thermodynamics of systems with dynamic degrees of freedom is applied to some problems of particle mechanics. For a sphere moving in a fluid, the results are compared to the formulae obtained from hydrodynamics.

Research paper thumbnail of Workshop on Specific Aspects of Computational Physics and Wavelet Analysis for Modelling Suddenly-Emerging Phenomena in Nonlinear Physics, and Nonlinear Applied Mathematics (PULSES 2006)

Research paper thumbnail of Rheological Coefficients for Media with Mechanical Relaxation Phenomena

Research paper thumbnail of On evaluation of electric conductivity by mean of a thermodynamical model for dieletric relaxation phenomena. An application to liver tissue

Research paper thumbnail of How cell division regulates the size of a unicellular organism

Research paper thumbnail of On the geometric structure of thermodynamic spaces

Research paper thumbnail of Thermomechanics of Interstitial Working at Liquid Boundaries

Research paper thumbnail of Phenomenological and state coefficients for poly-isobutylene in Kluitenberg-Ciancio theory

Research paper thumbnail of Phenomenological approach to a model of viscoanelastic media

The aim of this work is to report some general properties of phenomenological and state coefficie... more The aim of this work is to report some general properties of phenomenological and state coefficients in Kluitenberg-Ciancio's theory for viscoanelastic media of order one obtained as function of frequency in a previous paper. In particular, after the specification of the low and high frequencies region, under physical considerations characterized by limiting the values of some functions connected to mechanical phenomena, the trend of the aforementioned coefficients is investigated as function of the frequency.

Research paper thumbnail of Thermodynamical Theory of Dia-And Paramagnetic Materials

Research paper thumbnail of On heat conduction in media with isotropic microstructure

ABSTRACT In this paper we investigate the relation (dynamic equation of state) among the heat con... more ABSTRACT In this paper we investigate the relation (dynamic equation of state) among the heat conduction, deformation phenomena and the relaxation processes of an arbitrary number, say n, of scalar dynamic variables describing the main characteristic of microscopic dynamical structures developing during processes. The dynamic variables are due to chemical reactions, temperature disturbance of colloidal size or anything else. It is assumed that the irreversible processes in the medium can be described with the aid of non-equilibrium thermodynamics. We use standard procedure of non-equilibrium thermodynamics assuming also the transport of the dynamic variables.

Research paper thumbnail of A relativistic viscoanelastic model

Research paper thumbnail of Higher-dimensional black hole Geometric Thermodynamics

The pseudo-Riemannian Geometry is utilized in Mathematical Optimization, Thermodynamics or in Sta... more The pseudo-Riemannian Geometry is utilized in Mathematical Optimization, Thermodynamics or in Statistics as an important tool for recent research. Given a pseudo-Riemannian manifold (M, g) and a smooth function f : M → R, whose Hessian with respect to g is non-degenerate, one can define on M the associated pseudo-Riemannian Hessian metric h = Hess g f . In the following, we apply this methodology for describing the geometrical properties of some interesting mathematical objects like the higher dimensional Reissner-Nördstrom black holes. The paper is organized as follows. Section 1 reviews the history of pseudo-Riemannian Geometry and points out which Hessian is more convenient for physical problems. Section 2 gives the Christoffel symbols and the system of geodesics of pseudo-Riemannian manifold (M, h = Hess g f ), establishes the relation between the components of the curvature tensors field of (M, h) and (M, g), and determines the PDEs representing the coincidence between the Christoffel symbols of (M, h) and the Christoffel symbols of (M, g). The last section presents the comparison of null-length curves trajectories obtained with the two metrics for a 5-dimensional RN black hole.

Research paper thumbnail of Non-linear dissipative waves in viscoanelastic media

Physica A: Statistical Mechanics and its Applications, 1985

The propagation of non-linear dissipative waves in viscoanelastic media without memory is conside... more The propagation of non-linear dissipative waves in viscoanelastic media without memory is considered. By applying an asymptotic perturbative method the transport equation for the first perturbation term is obtained. Finally, it is shown that this equation can be reduced to an equation similar to Burger's equation.

Research paper thumbnail of Preface and front material

… , and Natural Sciences, 2009

... (39) GA Kluitenberg, L. Restuccia, ”Relativistic Theory ... Mongiovı Maria Stella : Dipartime... more ... (39) GA Kluitenberg, L. Restuccia, ”Relativistic Theory ... Mongiovı Maria Stella : Dipartimento di Metodi e Modelli Matem-atici, Universit`a degli Studi di Palermo, Palermo ... Peruzza Rosa Anna: Dipartimento di Metodi e Modelli Matematici, Universit`a degli Studi di Palermo, Palermo ...

Research paper thumbnail of The generalized burgers equation in viscoanelastic media with memory

Physica A: Statistical Mechanics and its Applications, 1987

In this paper the propagation of non-linear dissipative waves in viscoanelastic media with memory... more In this paper the propagation of non-linear dissipative waves in viscoanelastic media with memory is considered using a thermodynamic theory for mechanical relaxation phenomena proposed in some previous papers. In particular we investigate the contributions of the memory effects on the transport equation which governs the first perturbation term of the asymptotic solution of the basic equation. Finally, it is shown that the transport equation can be reduced to a generalized Burgers equation.

Research paper thumbnail of THERMODYNAMICAL THEORY OF DIA-AND PARAMAGNETIC MATERIALS

Research paper thumbnail of On connection between empirical and theoretical approach to relaxation phenomena in non-equilibrium thermodynamics

The theoretical approach to the study of relaxation phenomena in nonequilibrium thermodynamics is... more The theoretical approach to the study of relaxation phenomena in nonequilibrium thermodynamics is connected to the phenomenological and state coefficients that appear in constitutive equations of Kluitenberg-Ciancio's theory. In this paper we obtain a correlation between the coefficients aforementioned and some quantities experimentally measurable in the context linear response theory by considering a general rheological differential equation governing both mechanical and dielectric phenomena

Research paper thumbnail of F. Markus, K. Gambär A Variational Principle in Thermodynamics M. Fabrizio, A. Morro Reversible Processes in the Thermodynamics of Continuous Media

Research paper thumbnail of Plasticity as a consequence of the instability of viscoelastic flow. A thermodinamic description

Research paper thumbnail of THERMODYNAMIC WITH DYNAMIC DEGREES OF FREEDOM AND THE MECHANICS OF PARTICLES (*)

ABSTRACT Nonequilibrium thermodynamics of systems with dynamic degrees of freedom is applied to s... more ABSTRACT Nonequilibrium thermodynamics of systems with dynamic degrees of freedom is applied to some problems of particle mechanics. For a sphere moving in a fluid, the results are compared to the formulae obtained from hydrodynamics.

Research paper thumbnail of Workshop on Specific Aspects of Computational Physics and Wavelet Analysis for Modelling Suddenly-Emerging Phenomena in Nonlinear Physics, and Nonlinear Applied Mathematics (PULSES 2006)

Research paper thumbnail of Rheological Coefficients for Media with Mechanical Relaxation Phenomena

Research paper thumbnail of On evaluation of electric conductivity by mean of a thermodynamical model for dieletric relaxation phenomena. An application to liver tissue

Research paper thumbnail of How cell division regulates the size of a unicellular organism

Research paper thumbnail of On the geometric structure of thermodynamic spaces

Research paper thumbnail of Thermomechanics of Interstitial Working at Liquid Boundaries

Research paper thumbnail of Phenomenological and state coefficients for poly-isobutylene in Kluitenberg-Ciancio theory

Research paper thumbnail of Phenomenological approach to a model of viscoanelastic media

The aim of this work is to report some general properties of phenomenological and state coefficie... more The aim of this work is to report some general properties of phenomenological and state coefficients in Kluitenberg-Ciancio's theory for viscoanelastic media of order one obtained as function of frequency in a previous paper. In particular, after the specification of the low and high frequencies region, under physical considerations characterized by limiting the values of some functions connected to mechanical phenomena, the trend of the aforementioned coefficients is investigated as function of the frequency.