Browsing Statistical Physics by Author "Paradisi, P."
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Centreofmass like superposition of OrnsteinUhlenbeck processes: A pathway to nonautonomous stochastic differential equations and to fractional diffusion
D’Ovidio, M.; Vitali, S.; Sposini, V.; Sliusarenko, O.; Paradisi, P.; Castellani, G.; Pagnini, G. (20181025)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 centreofmass ... 
The challenge of brain complexity: A brief discussion about a fractal intermittencybased approach
Paradisi, P.; Righi, M.; Barcaro, U. (20161030)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 ... 
The emergence of selforganization in complex systemsPreface
Paradisi, P.; Kaniadakis, G.; Scarfone, A.M. (20151231)[No abstract available] 
Finiteenergy Lévytype motion through heterogeneous ensemble of Brownian particles
Sliusarenko, O.; Vitali, S.; Sposini, V.; Paradisi, P.; Chechkin, A.V.; Castellani, G.; Pagnini, G. (20190201)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 ... 
Fractional Diffusion and Medium Heterogeneity: The Case of the Continuos Time Random Walk
Sposini, V.; Vitali, S.; Paradisi, P.; Pagnini, G. (20210724)In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian random walk when the medium displays a powerlaw heterogeneity. Within the framework of the continuous time random walk, the ... 
Fractional kinetics emerging from ergodicity breaking in random media
MolinaGarcia, 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 ... 
Gaussian processes in complex media: new vistas on anomalous diffusion
Di Tullio, F.; Paradisi, P.; Spigler, R.; Pagnini, G. (201909)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 ... 
A hypothesis about parallelism vs. seriality in dreams
Barcaro, U.; Paradisi, P.; Sebastiani, L. (20191010)The current article discusses the hypothesis about parallelism vs. Seriality in dreams. The process of dream building implies the construction of a complex network of closely interrelated sources. On the other hand, the ... 
Langevin equation in complex media and anomalous diffusion
Vitali, S.; Sposini, V.; Sliusarenko, O.; Paradisi, P.; Castellani, G.; Pagnini, G. (20180730)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 ... 
A renewal model for the emergence of anomalous solute crowding in liposomes
Paradisi, P.; Allegrini, P.; Chiarugi, D. (20151231)A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the prebiotic mixture. Even though it is well known that hydrophobic forces drive ... 
Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency
Paradisi, P.; Allegrini, P. (20151231)In many complex systems the nonlinear cooperative dynamics determine the emergence of selforganized, metastable, structures that are associated with a birthdeath process of cooperation. This is found to be described by ...