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Fractional Diffusion and Medium Heterogeneity: The Case of the Continuos Time Random Walk 

Sposini, V.; Vitali, S.Autoridad BCAM; Paradisi, P.Autoridad BCAM; Pagnini, G.Autoridad BCAM (2021-07-24)
In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian random walk when the medium displays a power-law heterogeneity. Within the framework of the continuous time random walk, the ...
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A generalized Stefan model accounting for system memory and non-locality 

Garra, R.; Falcini, F.; Voller, V.R.; Pagnini, G.Autoridad BCAM (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 ...
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Gaussian processes in complex media: new vistas on anomalous diffusion 

Di Tullio, F.; Paradisi, P.Autoridad BCAM; Spigler, R.; Pagnini, G.Autoridad BCAM (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 ...
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Single-trajectory spectral analysis of scaled Brownian motion 

Sposini, V.; Metzler, R.; Oshanin, G. (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 ...
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Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles 

Sliusarenko, O.Autoridad BCAM; Vitali, S.Autoridad BCAM; Sposini, V.; Paradisi, P.Autoridad BCAM; Chechkin, A.V.; Castellani, G.; Pagnini, G.Autoridad BCAM (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 ...
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Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries 

Guggenberger, T.; Pagnini, G.Autoridad BCAM; Vojta, T.; Metzler, R. (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 ...
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Stochastic processes for anomalous diffusion 

Molina-Garcia, D. (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 ...
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Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion 

D’Ovidio, M.; Vitali, S.Autoridad BCAM; Sposini, V.; Sliusarenko, O.Autoridad BCAM; Paradisi, P.Autoridad BCAM; Castellani, G.; Pagnini, G.Autoridad BCAM (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 ...
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Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers 

Molina-Garcia, D.; Sandev, T.; Safdari, H.; Pagnini, G.Autoridad BCAM; Chechkin, A.V.; Metzler, R. (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 ...
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Langevin equation in complex media and anomalous diffusion 

Vitali, S.Autoridad BCAM; Sposini, V.; Sliusarenko, O.Autoridad BCAM; Paradisi, P.Autoridad BCAM; Castellani, G.; Pagnini, G.Autoridad BCAM (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 ...
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AuthorPagnini, G. (9)Paradisi, P. (6)Sposini, V. (5)Vitali, S. (4)Castellani, G. (3)Metzler, R. (3)Molina-Garcia, D. (3)Sliusarenko, O. (3)Chechkin, A.V. (2)Di Tullio, F. (1)... másSubject
anomalous diffusion (11)
fractional diffusion (3)biological transport (2)fractional brownian motion (2)biophysics (1)Center of mass (1)complex medium (1)Continuos time random walk (1)continuous time random walk (1)diffusion (1)... másFecha2021 (1)2020 (1)2019 (5)2018 (3)2016 (1)

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