60 citations · 400 across the 30 of their papers we have counts for
32 papers
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…
Self-diffusion in a strongly coupled non-neutral plasma
Marco Baldovin, Grégoire Vallet, Gaëtan Hagel +2
We propose a joint experimental and theoretical approach to measure the self-diffusion in a laser-cooled trapped ion cloud where part of the ions are shelved in a long-lived dark s…
Ergodic observables in non-ergodic systems: the example of the harmonic chain
Marco Baldovin, Raffaele Marino, Angelo Vulpiani
In the framework of statistical mechanics the properties of macroscopic systems are deduced starting from the laws of their microscopic dynamics. One of the key assumptions in this…
Control of Active Brownian Particles: An exact solution
Marco Baldovin, David Guéry-Odelin, Emmanuel Trizac
Control of stochastic systems is a challenging open problem in statistical physics, with potential applications in a wealth of systems from biology to granulates. Unlike most cases…
Extracting causation from millennial-scale climate fluctuations in the last 800 kyr
Marco Baldovin, Fabio Cecconi, Antonello Provenzale +1
The detection of cause-effect relationships from the analysis of paleoclimatic records is a crucial step to disentangle the main mechanisms at work in the climate system. Here, we…
The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium
Marco Baldovin, Lorenzo Caprini, Andrea Puglisi +2
In this paper, we offer to the reader an essential review of the theory of Fluctuation-Dissipation Relations (FDR), from the first formulations due to Einstein and Onsager, to the…
Shortcuts To Adiabaticity for Lévy processes in harmonic traps
Marco Baldovin, David Guéry-Odelin, Emmanuel Trizac
Lévy stochastic processes, with noise distributed according to a Lévy stable distribution, are ubiquitous in science. Focusing on the case of a particle trapped in an external harm…
Statistical Features of High-Dimensional Hamiltonian Systems
Marco Baldovin, Giacomo Gradenigo, Angelo Vulpiani
In this short review we propose a critical assessment of the role of chaos for the thermalization of Hamiltonian systems with high dimensionality. We discuss this problem for both…
A handy fluctuation-dissipation relation to approach generic noisy systems and chaotic dynamics
Marco Baldovin, Lorenzo Caprini, Angelo Vulpiani
We introduce a general formulation of the fluctuation-dissipation relations (FDR) holding also in far-from-equilibrium stochastic dynamics. A great advantage of this version of the…
Response and flux of information in extended non-equilibrium dynamics
Camilla Sarra, Marco Baldovin, Angelo Vulpiani
It is well known that entropy production is a proxy to the detection of non-equilibrium, i.e. of the absence of detailed balance; however, due to the global character of this quant…
Statistical Mechanics of Systems with Negative Temperature
Marco Baldovin, Stefano Iubini, Roberto Livi +1
Do negative absolute temperatures matter physics and specifically Statistical Physics? We provide evidence that we can certainly answer positively to this vexata quaestio. The grea…
Negative-temperature Fourier transport in one-dimensional systems
Marco Baldovin, Stefano Iubini
We investigate nonequilibrium steady states in a class of one-dimensional diffusive systems that can attain negative absolute temperatures. The cases of a paramagnetic spin system,…
Using machine-learning modelling to understand macroscopic dynamics in a system of coupled maps
Francesco Borra, Marco Baldovin
Machine learning techniques not only offer efficient tools for modelling dynamical systems from data, but can also be employed as frontline investigative instruments for the underl…
Understanding causation via correlations and linear response theory
Marco Baldovin, Fabio Cecconi, Angelo Vulpiani
In spite of the (correct) common-wisdom statement correlation does not imply causation, a proper employ of time correlations and of fluctuation-response theory allows to understand…
Statistical mechanics of an integrable system
Marco Baldovin, Angelo Vulpiani, Giacomo Gradenigo
We provide here an explicit example of Khinchin's idea that the validity of equilibrium statistical mechanics in high dimensional systems does not depend on the details of the dyna…
Effective Equations in complex systems: from Langevin to machine learning
Angelo Vulpiani, Marco Baldovin
The problem of effective equations is reviewed and discussed. Starting from the classical Langevin equation, we show how it can be generalized to Hamiltonian systems with non-stand…
Effective equations for reaction coordinates in polymer transport
Marco Baldovin, Fabio Cecconi, Angelo Vulpiani
In the framework of the problem of finding proper reaction coordinates (RCs) for complex systems and their effective evolution equations, we consider the case study of a polymer ch…