## Search

Now showing items 1-10 of 12

#### RandomFront 2.3 A physical parametrisation of fire-spotting for operational fire spread models: Implementation in WRF-Sfire and response analysis with LSFire+

(2018-12)

Fire-spotting is often responsible for a dangerous flare up in the wildfire and causes secondary ignitions isolated from
the primary fire zone leading to perilous situations. The main aim of the present research to provide ...

#### Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments

(2018-11)

In the Fourier heat conduction equation, when the flux definition is expressed as the product of a constant diffusivity and the temperature gradient, the characteristic length scale evolves as the square root of time. ...

#### Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion

(2018-10-25)

We consider an ensemble of Ornstein–Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the ensemble. We show that the centre-of-mass ...

#### Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

(2018-10-18)

The emerging diffusive dynamics in many complex systems shows a
characteristic crossover behaviour from anomalous to normal diffusion which
is otherwise fitted by two independent power-laws. A prominent example for
a ...

#### Langevin equation in complex media and anomalous diffusion

(2018-07-30)

The problem of biological motion is a very intriguing and topical issue.
Many efforts are being focused on the development of novel modelling
approaches for the description of anomalous diffusion in biological systems,
such ...

#### The role of the environment in front propagation

(2018-07-09)

In this work we study the role of a complex environment in the propagation of a front
with curvature-dependent speed. The motion of the front is split into a drifting part and
a fluctuating part. The drifting part is ...

#### Quasi-probability Approach for Modelling Local Extinction and Counter-gradient in Turbulent Premixed Combustion

(2018-05-23)

In opposition to standard probability distributions, quasi-probability distributions
can have negative values which highlight nonclassical properties of the
corresponding system. In quantum mechanics, such negative values ...

#### Modeling of birth-death and diffusion processes in biological complex environments

(2018-04-20)

This thesis is centered on the theory of stochastic processes and their applications in biological systems characterized by a complex environment. Three case studies have been modeled by the use of the three fundamental ...

#### Effective self-similar expansion for the Gross-Pitaevskii equation

(2018-04)

We consider an effective scaling approach for the free expansion of a one-dimensional quantum wave packet, consisting in a self-similar evolution to be satisfied on average, i.e., by integrating over the coordinates. A ...

#### Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion

(2018-04)

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the ...