## Search

Now showing items 1-10 of 10

#### A generalized Stefan model accounting for system memory and non-locality

(International Communications in Heat and Mass Transfer, 2020-05)

The Stefan problem, involving the tracking of an evolving phase-change front, is the prototypical example of a moving boundary problem. In basic one- dimensional problems it is well known that the front advances as the ...

#### Gaussian processes in complex media: new vistas on anomalous diffusion

(Front. Phys., 2019-09)

Normal or Brownian diffusion is historically identified by the linear growth in time of the variance and by a Gaussian shape of the displacement distribution. Processes departing from the at least one of the above conditions ...

#### Single-trajectory spectral analysis of scaled Brownian motion

(New Journal of Physics, 2019-06)

A standard approach to study time-dependent stochastic processes is the power spectral density (PSD), an ensemble-averaged property defined as the Fourier transform of the autocorrelation function of the process in the ...

#### Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries

(New Journal of Physics, 2019-02)

Fractional Brownian motion (FBM) is a Gaussian stochastic process with stationary, long-time correlated increments and is frequently used to model anomalous diffusion processes. We study numerically FBM confined to a finite ...

#### Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles

(Journal of Physics A: Mathematical and Theoretical, 2019-02-01)

Complex systems are known to display anomalous diffusion, whose signature is a space/time scaling $x \sim t^\delta$ with $\delta \neq 1/2$ in the probability density function (PDF). Anomalous diffusion can emerge jointly ...

#### Stochastic processes for anomalous diffusion

(2019)

Anomalous diffusion is a diffusion process which Mean Square Displacement (MSD)
is not a linear funtion of time, what is known as normal diffusion.
When the relation is faster than linear, it is called superdiffusion and ...

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

(Fractional Calculus and Applied Analysis, 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

(New Journal of Physics, 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

(Journal of the Royal Society Interface, 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 ...

#### Fractional kinetics emerging from ergodicity breaking in random media

(Physical Review E, 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 ...