85 citations · 1k across the 42 of their papers we have counts for
45 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…
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…
Intensity pseudo-localized phase in the glassy random laser
Jacopo Niedda, Luca Leuzzi, Giacomo Gradenigo
Evidence of an emergent pseudo-localized phase characterizing the low-temperature replica symmetry breaking phase of the complex disordered models for glassy light is provided in t…
Universality class of the mode-locked glassy random laser
Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi +1
By means of enhanced Monte Carlo numerical simulations parallelized on GPU's we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser,…
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…
Symplectic quantization I: dynamics of quantum fluctuations in a relativistic field theory
Giacomo Gradenigo, Roberto Livi
We propose here a new symplectic quantization scheme, where quantum fluctuations of a scalar field theory stem from two main assumptions: relativistic invariance and equiprobabilit…
Symplectic quantization II: dynamics of space-time quantum fluctuations and the cosmological constant
Giacomo Gradenigo
The symplectic quantization scheme proposed for matter scalar fields in the companion paper "Symplectic quantization I" is generalized here to the case of space-time quantum fluctu…
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…
Dynamical collective memory in fluidized granular materials
A. Plati, A. Baldassarri, A. Gnoli +2
Recent experiments with rotational diffusion of a probe in a vibrated granular media revealed a rich scenario, ranging from the dilute gas to the dense liquid with cage effects and…
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…
Response to "Comment on Static correlations functions and domain walls in glass-forming liquids: The case of a sandwich geometry" [J. Chem. Phys. 144, 227101 (2016)]
Giacomo Gradenigo, Roberto Trozzo, Andrea Cavagna +1
The point-to-set correlation function has proved to be a very valuable tool to probe structural correlations in disordered systems, but more than that, its detailed behavior has be…
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…