7 papers
The real butterfly effect: from the pop culture to mathematics and physics
Victor de Jesus Valadão, Erik Aurell, Guido Boffetta +3
The "butterfly effect", introduced over half a century ago by Edward Lorenz, has shifted from a cornerstone of dynamical systems to a popular metaphor, yet its true physical manife…
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…
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…
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…
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…