242 citations · 767 across the 25 of their papers we have counts for
17 papers · 1 filter
Khinchin's ergodicity and typicality in statistical mechanics
Dario Lucente, Marco Baldovin, Giacomo Gradenigo +1
The formulation of statistical mechanics in terms of ensembles, originally proposed by Gibbs, has proved to be extremely effective in describing the equilibrium state of many-parti…
Thermalization in high-dimensional systems: the (weak) role of chaos
Marco Baldovin, Marco Cattaneo, Dario Lucente +2
In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seve…
A mean-field theory of effective normal modes in the Fermi-Pasta-Ulam-Tsingou model
Antonio Ponno, Giacomo Gradenigo, Marco Baldovin +1
We present a non-perturbative, mean-field theory for the Fermi-Pasta-Ulam-Tsingou model with quartic interaction, capturing the quasiperiodic features shown by the system at all en…
Thermal equilibrium with generalized time-reversal symmetry
Dario Lucente, Marco Baldovin, Massimiliano Viale +1
In the study of stochastic processes, identifying the parity under time-reversal is essential to verify detailed balance, and to compute the entropy production rate (which is, othe…
On the foundations of statistical mechanics
Marco Baldovin, Giacomo Gradenigo, Angelo Vulpiani +1
Although not as wide, and popular, as that of quantum mechanics, the investigation of fundamental aspects of statistical mechanics constitutes an important research field in the bu…
Conceptual and practical approaches for investigating irreversible processes
Dario Lucente, Marco Baldovin, Fabio Cecconi +5
Current research in statistical mechanics mostly concerns the investigation of out-of-equilibrium, irreversible processes, which are ubiquitous in nature and still far from being t…
Thermalization is typical in large classical and quantum harmonic systems
Marco Cattaneo, Marco Baldovin, Dario Lucente +2
We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalizati…
H-theorem at negative temperature: the random exchange model with bounds
Dario Lucente, Marco Baldovin, Andrea Puglisi +1
Random exchange kinetic models are widely employed to describe the conservative dynamics of large interacting systems. Due to their simplicity and generality, they are quite popula…
A Markovian approach to the Prandtl-Tomlinson frictional model
Dario Lucente, Alberto Petri, Angelo Vulpiani
We consider the Prandtl-Tomlinson model in the case of a constant driving force and in the presence of thermal fluctuations. We show that the system dynamics is well reproduced by…
Fluctuations in partitioning systems with few degrees of freedom
L. Cerino, G. Gradenigo, A. Sarracino +2
We study the behavior of a moving wall in contact with a particle gas and subjected to an external force. We compare the fluctuations of the system observed in the microcanonical a…
About an H-theorem for systems with non-conservative interactions
Umberto Marini Bettolo Marconi, Andrea Puglisi, Angelo Vulpiani
We exhibit some arguments in favour of an H-theorem for a generalization of the Boltzmann equation including non-conservative interactions and a linear Fokker-Planck-like thermosta…
Einstein relation in superdiffusive systems
Giacomo Gradenigo, Alessandro Sarracino, Dario Villamaina +1
We study the Einstein relation between diffusion and response to an external field in systems showing superdiffusion. In particular, we investigate a continuous time Levy walk wher…
Estimate of temperature and its uncertainty in small systems
M. Falcioni, A. Puglisi, A. Sarracino +2
The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir.…
On anomalous diffusion and the out of equilibrium response function in one-dimensional models
D Villamaina, A Sarracino, G Gradenigo +2
We study how the Einstein relation between spontaneous fluctuations and the response to an external perturbation holds in the absence of currents, for the comb model and the elasti…
Fluctuation-Dissipation relation in sub-diffusive systems: the case of granular single-file
D. Villamaina, A. Puglisi, A. Vulpiani
We study a gas of hard rods on a ring, driven by an external thermostat, with either elastic or inelastic collisions, which exhibits sub-diffusive behavior . W…
Position and velocity space diffusion of test particles in stochastic electromagnetic fields
Silvia Perri, Fabio Lepreti, Vincenzo Carbone +1
The two--dimensional diffusive dynamics of test particles in a random electromagnetic field is studied. The synthetic electromagnetic fluctuations are generated through randomly pl…
Simple stochastic models showing strong anomalous diffusion
K. H. Andersen, P. Castiglione, A. Mazzino +1
We show that {\it strong} anomalous diffusion, i.e. $\mean{|x(t)|^q} \sim t^{q ν(q)}$ where is a nonlinear function of , is a generic phenomenon within a class of gener…