Zerrendatu Statistical Physics honen arabera: argitalpen data
72-tik 1-20 emaitza erakusten
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Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes
Pagnini, G.
; Mura, A.; Mainardi, F. (2013-12-31)
Two-particle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of self-similar stochastic processes. ... -
The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes
Pagnini, G. (2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ... -
Modelling wildland fire propagation by tracking random fronts
Pagnini, G.; Mentrelli, A. (2014-12-31)
Abstract. Wildland fire propagation is studied in the liter- ature by two alternative approaches, namely the reaction– diffusion equation and the level-set method. These two ap- proaches are considered alternatives to each ... -
Self-similar stochastic models with stationary increments for symmetric space-time fractional diffusion
Pagnini, G. (2014-12-31)
An approach to develop stochastic models for studying anomalous diffusion is proposed. In particular, in this approach the stochastic particle trajectory is based on the fractional Brownian motion but, for any realization, ... -
Short note on the emergence of fractional kinetics
Pagnini, G. (2014-12-31)
In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to ... -
Front propagation in anomalous diffusive media governed by time-fractional diffusion
Mentrelli, A.; Pagnini, G. (2014-12-31)
In this paper, a multi-dimensional model is proposed to study the propagation of random fronts in media in which anomalous diffusion takes place. The front position is obtained as the weighted mean of fronts calculated by ... -
Fractional relaxation with time-varying coefficient
Garra, R.; Giusti, A.; Mainardi, F.; Pagnini, G. (2014-12-31)
From the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of ... -
Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency
Paradisi, P.; Allegrini, P. (2015-12-31)
In many complex systems the non-linear cooperative dynamics determine the emergence of self-organized, metastable, structures that are associated with a birth-death process of cooperation. This is found to be described by ... -
Velocity and energy distributions in microcanonical ensembles of hard spheres
Scalas, E.; Gabriel, A.T.; Martin, E.; Germano, G. (2015-12-31)
In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a d-dimensional volume ... -
The emergence of self-organization in complex systems-Preface
Paradisi, P.; Kaniadakis, G.; Scarfone, A.M. (2015-12-31)
[No abstract available] -
A renewal model for the emergence of anomalous solute crowding in liposomes
Paradisi, P.; Allegrini, P.; Chiarugi, D. (2015-12-31)
A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the pre-biotic mixture. Even though it is well known that hydrophobic forces drive ... -
Fractional kinetics emerging from ergodicity breaking in random media
Molina-Garcia, D.; Minh Pham, T.; Paradisi, P.; Manzo, C.; Pagnini, G. (2016)
We present a modelling approach for diffusion in a complex medium characterized by a random lengthscale. The resulting stochastic process shows subdiffusion with a behavior in qualitative agreement with single particle ... -
Turbulence and fire-spotting effects into wild-land fire simulators
Kaur, I.; Mentrelli, A.; Bosseur, F.; Filippi, J.-B.; Pagnini, G. (2016-01-01)
This paper presents a mathematical approach to model the effects and the role of phenomena with random nature such as turbulence and fire-spotting into the existing wildfire simulators. The formulation proposes that the ... -
Modelling and simulation of wildland fire in the framework of the level set method
Mentrelli, A.; Pagnini, G. (2016-01-01)
Among the modelling approaches that have been proposed for the simulation of wildfire propagation, two have gained considerable attention in recent years: the one based on a reaction-diffusion equation, and the one based ... -
The challenge of brain complexity: A brief discussion about a fractal intermittency-based approach
Paradisi, P.; Righi, M.; Barcaro, U. (2016-10-30)
In the last years, the complexity paradigm is gaining momentum in many research fields where large multidimensional datasets are made available by the advancements in instrumental technology. A complex system is a ... -
Darrieus-Landau instabilities in the framework of the G-equation
Pagnini, G.; Trucchia, A. (2017-04)
We consider a model formulation of the flame front propagation in turbulent premixed combustion based on stochastic fluctuations imposed to the mean flame position. In particular, the mean flame motion is described by ... -
Numerical valuation of two-asset options under jump diffusion models using Gauss-Hermite quadrature
(2017-04-19)In this work a finite difference approach together with a bivariate Gauss–Hermite quadrature technique is developed for partial integro-differential equations related to option pricing problems on two underlying asset ... -
Discretizations of the spectral fractional Laplacian on general domains with Dirichlet, Neumann, and Robin boundary conditions
Cusimano, N.; Del Teso, F.; Gerardo-Giorda, L.; Pagnini, G. (2017-04-28)
In this work, we propose novel discretisations of the spectral fractional Laplacian on bounded domains based on the integral formulation of the operator via the heat-semigroup formalism. Specifically, we combine suitable ... -
Front Curvature Evolution and Hydrodynamics Instabilities
Pagnini, G.; Trucchia, A. (2017-06-07)
It is known that hydrodynamic instabilities in turbulent premixed combustion are described by the Michelson-Sivashinsky (MS) equation. A model of the flame front propagation based on the G-equation and on stochastic ... -
From G - Equation to Michelson - Sivashinsky Equation in Turbulent Premixed Combustion Modelling
Pagnini, G. (2017-06-20)
It is well known that the Michelson-Sivashinky equation describes hydrodynamic instabilities in turbulent premixed combustion. Here a formulation of the flame front propagation based on the G-equation and on stochastic ...