41 citations · 161 across the 24 of their papers we have counts for
4 papers · 1 filter
A mathematical walk into the paradox of Bloch oscillations
Luigi Barletti
We describe mathematically the apparently paradoxical phenomenon that an electronic current in a semiconductor can flow because of collisions, and not despite them. A transport mod…
Linear noise approximation for stochastic oscillations of intracellular calcium
Laura Cantini, Claudia Cianci, Duccio Fanelli +2
A stochastic model of intracellular calcium oscillations is analytically studied. The governing master equation is expanded under the linear noise approximation and a closed predic…
Stochastic Turing Patterns for systems with one diffusing species
Laura Cantini, Claudia Cianci, Duccio Fanelli +2
The problem of pattern formation in a generic two species reaction--diffusion model is studied, under the hypothesis that only one species can diffuse. For such a system, the class…
Analytical study of non Gaussian fluctuations in a stochastic scheme of autocatalytic reactions
Claudia Cianci, Francesca Di Patti, Duccio Fanelli +1
A stochastic model of autocatalytic chemical reactions is studied both numerically and analytically. The van Kampen perturbative scheme is implemented, beyond the second order appr…