254 citations · 624 across the 16 of their papers we have counts for
17 papers
Multiplicity of Stable Attractors in Disordered Neural Models
Raffaele Marino, Roberto Livi, Antonio Politi
We show how large-deviation statistics allows one to obtain reliable estimates of the multiplicity of stable fixed-points in a model of neural ordinary differential equations previ…
Anomalous transport in the Fermi-Pasta-Ulam-Tsingou model: a review and open problems
Stefano Lepri, Roberto Livi, Antonio Politi
This review provides an up-to-date account of energy transport in Fermi-Pasta-Ulam-Tsingou (FPUT) chains, a key testbed for nonequilibrium statistical physics. We discuss the trans…
1953: Fermi's "little discovery" and the birth of the numerical experiment
Stefano Lepri, Roberto Livi, Stefano Ruffo
The year 1953 is pivotal for computational physics: the first application of the Monte-Carlo method is published and calculations of the so-called Fermi-Pasta-Ulam-Tsingou experime…
Coupled transport in rotor models
S. Iubini, S. Lepri, R. Livi +1
Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investiga…
Off-equilibrium Langevin dynamics of the discrete nonlinear Schroedinger chain
S. Iubini, S. Lepri, R. Livi +1
Suitable Langevin thermostats are introduced which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schrödinger oscilla…
Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
Vladislav Popkov, Roberto Livi
We consider generic interacting chain of qubits, which are coupled at the edges to baths of fixed polarizations. We can determine the nonequilibrium steady states, described by the…
DNA denaturation and wetting in the presence of disorder
Hervé Kunz, Roberto Livi
We present a precise equivalence of the Lifson-Poland-Scheraga model with wetting models. Making use of a representation of the former model in terms of random matrices, we obtain,…
Negative Temperature States in the Discrete Nonlinear Schroedinger Equation
S. Iubini, R. Franzosi, R. Livi +2
We explore the statistical behavior of the discrete nonlinear Schroedinger equation. We find a parameter region where the system evolves towards a state characterized by a finite d…
Nonequilibrium dynamics of a stochastic model of anomalous heat transport: numerical analysis
L. Delfini, S. Lepri, R. Livi +2
We study heat transport in a chain of harmonic oscillators with random elastic collisions between nearest-neighbours. The equations of motion of the covariance matrix are numerical…
Nonequilibrium dynamics of a stochastic model of anomalous heat transport
S. Lepri, C. Mejia-Monasterio, A. Politi
We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random coll…
Large Deviation Approach to the Randomly Forced Navier-Stokes Equation
R. Collina, R. Livi, A. Mazzino
The random forced Navier-Stokes equation can be obtained as a variational problem of a proper action. By virtue of incompressibility, the integration over transverse components of…
On the relationship between directed percolation and the synchronization transition in spatially extended systems
F. Ginelli, R. Livi, A. Politi +1
We study the nature of the synchronization transition in spatially extended systems by discussing a simple stochastic model. An analytic argument is put forward showing that, in th…
A mechanical model of normal and anomalous diffusion
H. Kunz, R. Livi, A. Suto
The overdamped dynamics of a charged particle driven by an uniform electric field through a random sequence of scatterers in one dimension is investigated. Analytic expressions of…
Slow energy relaxation and localization in 1D lattices
F. Piazza, S. Lepri, R. Livi
We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependen…
Transition to Stochastic Synchronization in Spatially Extended Systems
Lucia Baroni, Roberto Livi, Alessandro Torcini
Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dym…
Finite thermal conductivity in 1d lattices
C. Giardina', R. Livi, A. Politi +1
We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the abs…
Noise-driven Synchronization in Coupled Map Lattices
L. Baroni, R. Livi, A. Torcini
Synchronization is shown to occur in spatially extended systems under the effect of additive spatio-temporal noise. In analogy to low dimensional systems, synchronized states are o…