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Article
The phase diagram of the Flory-Huggins-de Gennes model of a binary polymer blend
We undertake a numerical study of the Flory-Huggins-de Gennes functional ind=3 dimensions describing a polymer blend. By discretising the functional on a three-dimensional lattice and employing the hybrid Monte C...
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Chapter and Conference Paper
Computational field theory and pattern formation
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Chapter and Conference Paper
Linear Instability Mechanisms of Noise-Induced Phase Transitions
We review the role of linear instabilities on phase transition processes induced by external spatiotemporal noise. In particular, we present a detailed linear stability analysis of a standard Ginzburg-Landau m...
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Chapter
Stochastic Effects in Physical Systems
The study of the effects of noise and fluctuations is a well established subject in several different disciplines ranging from pure mathematics (stochastic processes) to physics (fluctuations) and electrical e...
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Article
On the Nonextensivity of the Long Range X-Y Model
It will be given analytical and numerical evidence supporting that the X-Y model yields an extensive, i.e., proportional to the number of degrees of freedom N, internal energy U for any value of the interaction r...
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Chapter
Resonance Induced by Repulsive Links
In nonlinear systems, the right amount of noise can amplify the response to a weak periodic signal, by a phenomenon known as stochastic resonance [1]. It was shown that the same constructive role can be played...
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Article
The Role of Noise and Initial Conditions in the Asymptotic Solution of a Bounded Confidence, Continuous-Opinion Model
We study a model for continuous-opinion dynamics under bounded confidence. In particular, we analyze the importance of the initial distribution of opinions in determining the asymptotic configuration. Thus, we...
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Article
The noisy Hegselmann-Krause model for opinion dynamics
In the model for continuous opinion dynamics introduced by Hegselmann and Krause, each individual moves to the average opinion of all individuals within an area of confidence. In this work we study the effect...
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Article
Open AccessThe noisy voter model on complex networks
We propose a new analytical method to study stochastic, binary-state models on complex networks. Moving beyond the usual mean-field theories, this alternative approach is based on the introduction of an anneal...
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Article
Modulated class A laser: stochastic resonance in a limit-cycle potential system
We exploit the knowledge of the nonequilibrium potential in a model for the modulated class A laser. We analyse both, the deterministic and the stochastic dynamics of such a system in terms of the Lyapunov po...
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Article
Open AccessEndemic infectious states below the epidemic threshold and beyond herd immunity
The COVID-19 pandemic exhibits intertwined epidemic waves with anomalous fade-outs characterized by persistent low prevalence. These long-living epidemic states complicate epidemic control and challenge curren...
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Article
Open AccessBiased versus unbiased numerical methods for stochastic simulations
Approximate numerical methods are one of the most used strategies to extract information from many-interacting-agents systems. In particular, numerical approximations are of extended use to deal with epidemic,...
