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Phase transitions of quasistationary states in the Hamiltonian Mean Field model
Pierre de Buyl, Duccio Fanelli, Stefano Ruffo
The out-of-equilibrium dynamics of the Hamiltonian Mean Field (HMF) model is studied in presence of an externally imposed magnetic field h. Lynden-Bell's theory of violent relaxati…
Multispecies reaction diffusion models and the Turing instability revisited
Duccio Fanelli, Claudia Cianci, Francesca Di Patti
The Turing instability paradigm is revisited in the context of a multispecies diffusion scheme derived from a self-consistent microscopic formulation. The analysis is developed wit…
Statistical theory of quasi stationary states beyond the single water-bag case study
Mallbor Assllani, Duccio Fanelli, Alessio Turchi +2
An analytical solution for the out-of-equilibrium quasi-stationary states of the paradigmatic Hamiltonian Mean Field (HMF) model can be obtained from a maximum entropy principle. T…
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…
Non-Gaussian fluctuations in stochastic models with absorbing barriers
Claudia Cianci, Francesca Di Patti, Duccio Fanelli
The dynamics of a one-dimensional stochastic model is studied in presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the genera…
Efficiency of cyclic devices working with non-Boltzmannian fluids: challenging the second principle of thermodynamics
Duccio Fanelli, Giovanni De Ninno, Alessio Turchi
According to classical Boltzmannian thermodynamics, the efficiency of a cyclic machine is strictly lower than one. Such a result is a straightforward consequence of the second prin…