85 citations · 1k across the 42 of their papers we have counts for
29 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…
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…
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…
Symplectic quantization III: Non-relativistic limit
Giacomo Gradenigo, Roberto Livi, Luca Salasnich
First of all we shortly illustrate how the symplectic quantization scheme [Gradenigo and Livi, 2021] can be applied to a relativistic field theory with self-interaction. Taking ins…
Thermalization without chaos in harmonic systems
Niccolò Cocciaglia, Angelo Vulpiani, Giacomo Gradenigo
Recent numerical results showed that thermalization of Fourier modes is achieved in short time-scales in the Toda model, despite its integrability and the absence of chaos. Here we…
First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension
Francesco Mori, Giacomo Gradenigo, Satya N. Majumdar
We consider a single run-and-tumble particle (RTP) moving in one dimension. We assume that the velocity of the particle is drawn independently at each tumbling from a zero-mean Gau…
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…
Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schrödinger Equation
Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1
The thermodynamics of the discrete nonlinear Schrödinger equation in the vicinity of infinite temperature is explicitly solved in the microcanonical ensemble by means of large-devi…
How non-equilibrium correlations in active matter reveal the topological crossover in glasses
Giacomo Gradenigo, Matteo Paoluzzi
As shown by early studies on mean-field models of the glass transition, the geometrical features of the energy landscape provide fundamental information on the dynamical transition…
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…
Solving the fully-connected spherical -spin model with the cavity method: equivalence with the replica results
Giacomo Gradenigo, Maria Chiara Angelini, Luca Leuzzi +1
The spherical -spin is a fundamental model for glassy physics, thanks to its analytic solution achievable via the replica method. Unfortunately the replica method has some drawb…
Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures
Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1
We present a detailed account of a first-order localization transition in the Discrete Nonlinear Schrödinger Equation, where the localized phase is associated to the high energy re…
Glassiness and Lack of Equipartition in Random Lasers: the common roots of Ergodicity Breaking in Disordered and Non-linear Systems
Giacomo Gradenigo, Fabrizio Antenucci, Luca Leuzzi
We present here for the first time a unifying perspective for the lack of equipartition in non-linear ordered systems and the low temperature phase-space fragmentation in disordere…
A First-Order Dynamical Transition in the displacement distribution of a Driven Run-and-Tumble Particle
Giacomo Gradenigo, Satya N. Majumdar
We study the probability distribution of the total displacement of an -step run and tumble particle on a line, in presence of a constant nonzero drive . Wh…
Participation ratio for constraint-driven condensation with superextensive mass
Giacomo Gradenigo, Eric Bertin
Broadly distributed random variables with a power-law distribution are known to generate condensation effects, in the sense that, when the exponent lies…
Generalized Edwards thermodynamics and marginal stability in a driven system with dry and viscous friction
Giacomo Gradenigo, Eric Bertin
We consider a spring-block model with both dry and viscous frictions, subjected to a periodic driving allowing mechanically stable configurations to be sampled. We show that under…
Field-induced superdiffusion and dynamical heterogeneity
Giacomo Gradenigo, Eric Bertin, Giulio Biroli
By analyzing two Kinetically Constrained Models of supercooled liquids we show that the anomalous transport of a driven tracer observed in supercooled liquids is another facet of t…
Edwards thermodynamics for a driven athermal system with dry friction
Giacomo Gradenigo, Ezequiel E. Ferrero, Eric Bertin +1
We obtain, using semi-analytical transfer operator techniques, the Edwards thermodynamics of a one-dimensional model of blocks connected by harmonic springs and subjected to dry fr…
Scaling properties of field-induced superdiffusion in Continous Time Random Walks
R. Burioni, G. Gradenigo, A. Sarracino +2
We consider a broad class of Continuous Time Random Walks with large fluctuations effects in space and time distributions: a random walk with trapping, describing subdiffusion in d…
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…
Fluctuation relations without uniform large deviations
Giacomo Gradenigo, Alessandro Sarracino, Andrea Puglisi +1
We study the fluctuations of a stochastic Maxwell-Lorentz particle model driven by an external field to determine the extent to which fluctuation relations are related to large dev…
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…
Entropy production in non-equilibrium fluctuating hydrodynamics
Giacomo Gradenigo, Andrea Puglisi, Alessandro Sarracino
Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coar…
Out-of-equilibrium generalized fluctuation-dissipation relations
Giacomo Gradenigo, Andrea Puglisi, Alessandro Sarracino +2
We discuss fluctuation-dissipation relations valid under general conditions even out of equilibrium. The response function is expressed in terms of unperperturbed correlation funct…