7 papers
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…
Novel Kuramoto model with inhibition dynamics modeling scale-free avalanches and synchronization in neuronal cultures
Dario Lucente, Letizia Cerutti, Martina Brofiga +5
Neuronal cultures exhibit a complex activity, bursts, or avalanches, characterized by the coexistence of scale invariance and synchronization, quite stable with the percentage of i…
Entropy production and irreversibility in the linearized stochastic Amari neural model
Dario Lucente, Giacomo Gradenigo, Luca Salasnich
One among the most intriguing results coming from the application of statistical mechanics to the study of brain is the understanding that it, as a dynamical system, is inherently…
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…