25 citations · 115 across the 34 of their papers we have counts for
35 papers
Uncertainty Relations in Thermodynamics of Irreversible Processes on a Mesoscopic Scale
Giorgio Sonnino
Studies of mesoscopic structures have now become a leading and rapidly evolving research field ranging from physics, chemistry, and mineralogy to life sciences. The increasing mini…
Efficient Multiparty Protocols Using Generalized Parseval's Identity and the Theta Algebra
Giorgio Sonnino, Alberto Sonnino
We propose a protocol able to show publicly addition and multiplication on secretly shared values. To this aim we developed a protocol based on the use of masks and on the FMPC (Fo…
Modelling the Spread of SARS-CoV2 and its variants. Comparison with Real Data. Relations that have to be Satisfied to Achieve the Total Regression of the SARS-CoV2 Infection
Giorgio Sonnino, Philippe Peeters, Pasquale Nardone
This work provides an overview on deterministic and stochastic models that have previously been proposed by us to study the transmission dynamics of the Coronavirus Disease 2019 (C…
Turbulent Transport in Tokamak-plasmas: A Thermodynamic Approach
Giorgio Sonnino, Philippe Peeters, Pasquale Nardone +1
In previous work we provided the explicit form of the nonlinear PDEs, subjected to the appropriate boundary conditions, which have to be satisfied by transport coefficients for sys…
Thermodynamic Flux-Force Closure Relations for Systems out of the Onsager Region
Giorgio Sonnino
The objective of this work is to determine the nonlinear flux-force relations for systems out of Onsager's region that respect the existing thermodynamic theorems for systems far f…
Simple algorithm for GCD of polynomials
Pasquale Nardone, Giorgio Sonnino
Based on the Bezout approach we propose a simple algorithm to determine the {\tt gcd} of two polynomials which doesn't need division, like the Euclidean algorithm, or determinant c…
Modelling the Spreading of the SARS-CoV-2 in Presence of the Lockdown and Quarantine Measures by a "Kinetic-Type Reactions" Approach
Giorgio Sonnino, Philippe Peeters, Pasquale Nardone
We propose a realistic model for the evolution of the COVID-19 pandemic subject to the lockdown and quarantine measures, which takes into account the time-delay for recovery or dea…
A Stochastic Compartmental Model for COVID-19
Giorgio Sonnino, Fernando Mora, Pasquale Nardone
We propose two stochastic models for the Coronavirus pandemic. The statistical properties of the models, in particular the correlation functions and the probability density functio…
Dynamics of the COVID-1 -- Comparison between the Theoretical Predictions and the Real Data, and Predictions about Returning to Normal Life
Giorgio Sonnino, Pasquale Nardone
A new coronavirus disease, called COVID-19, appeared in the Chinese region of Wuhan at the end of last year; since then the virus spread to other countries, including most of Europ…
Stationary localized structures and the effect of the delayed feedback in the Brusselator model
Bilal Kostet, Mustapha Tlidi, Felix Tabbert +6
The Brusselator reaction-diffusion model is a paradigm for the understanding of dissipative structures in systems out of equilibrium. In the first part of this paper, we investigat…
Elliptic-Curves Cryptography on High-Dimensional Surfaces
Alberto Sonnino, Giorgio Sonnino
We discuss the use of elliptic curves in cryptography on high-dimensional surfaces. In particular, instead of a Diffie-Hellman key exchange protocol written in the form of a bi-dim…
Maximal entropy distribution functions from generalized Rényi entropy
György Steinbrecher, Giorgio Sonnino, Nicolae Pometescu
New class of reference distribution functions for numerical approximation of the solution of the Fokker-Planck equations associated to the charged particle dynamics in tokamak are…
Numerical Stability of Generalized Entropies
György Steinbrecher, Giorgio Sonnino
In many applications, the probability density function is subject to experimental errors. In this work the continuos dependence of a class of generalized entropies on the experimen…
Generalized Rényi Entropy and Structure Detection of Complex Dynamical Systems
György Steinbrecher, Giorgio Sonnino
We study the problem of detecting the structure of a complex dynamical system described by a set of deterministic differential equation that contains a Hamiltonian subsystem, witho…
Symmetry Group and Group Representations Associated to the Thermodynamic Covariance Principle (TCP)
Giorgio Sonnino, Jarah Evslin, Alberto Sonnino +2
We describe the Lie group and the group representations associated to the nonlinear Thermodynamic Coordinate Transformations (TCT). The TCT guarantee the validity of the Thermodyna…
Minimum Dissipation Principle in Nonlinear Transport
Giorgio Sonnino, Jarah Evslin, Alberto Sonnino
We extend Onsager's minimum dissipation principle to stationary states that are only subject to local equilibrium constraints, even when the transport coefficients depend on the th…
Category theoretic properties of the A. Rényi and C. Tsallis entropies
György Steinbrecher, Alberto Sonnino, Giorgio Sonnino
The problem of embedding the Tsallis and Rényi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category…
Analysis of the Thermonuclear Instability including Low-Power ICRH Minority Heating in IGNITOR
Alessandro Cardinali, Giorgio Sonnino
The nonlinear thermal balance equation for classical plasma in a toroidal geometry is analytically and numerically investigated including ICRH power. The determination of the equil…
Determination of the Dynamic ITER Energy Confinement Time Scalings
Giorgio Sonnino, Alberto Sonnino, Jarah Evslin +1
We derive the differential equation, which is satisfied by the ITER scalings for the dynamic energy confinement time. We show that this differential equation can also be obtained f…
Stationary distribution functions for Tokamak-plasmas in the weak-collisional transport regime by MaxEnt principle
Giorgio Sonnino, Philippe Peeters, Alberto Sonnino +2
In previous works, we derived stationary density distribution functions (DDF) where the local equilibrium is determined by imposing the maximum entropy (MaxEnt) principle, under th…
The Thermodynamic Covariance Principle
Giorgio Sonnino, Alberto Sonnino
The concept of {\it equivalent systems} from the thermodynamic point of view, originally introduced by Th. De Donder and I. Prigogine, is deeply investigated and revised. From our…
The Rényi entropy of Lévy distribution
Giorgio Sonnino, György Steinbrecher, Alberto Sonnino
The equivalence between non-extensive C. Tsallis entropy and the extensive entropy introduced by Alfréd Rényi is discussed. The Rényi entropy is studied from the perspective of the…
New Class of Generalized Extensive Entropies for Studying Dynamical Systems in Highly Anisotropic Phase Space
Giorgio Sonnino, György Steinbrecher
Starting from the geometrical interpretation of the Rényi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probabilit…
Reference Distribution Functions for Magnetically Confined Plasmas from the Minimum Entropy Production Theorem and the MaxEnt Principle, subject to the Scale-Invariant Restrictions
Giorgio Sonnino, Alessandro Cardinali, Gyorgy Steinbrecher +3
We derive the expression of the reference distribution function for magnetically confined plasmas far from the thermodynamic equilibrium. The local equilibrium state is fixed by im…