27 citations · 150 across the 30 of their papers we have counts for
30 papers
The fractal dimension of Brownian dynamics in liquids
Michael C. Thumann, Jason Boynewicz, Giuseppe Procopio +2
The classical Einstein-Langevin theory of Brownian motion assumes a memoryless thermal bath, establishing a universal fractal dimension of for the velocity fluctuations…
Brownian motion: non-equilibrium states from equilibrium trajectories -- recovering hydrodynamic regimes from prepared displacement measurements
Jason Boynewicz, Michael C. Thumann, Giuseppe Procopio +1
Owing to the Chapman-Kolmogorov equation for Markovian dynamics,any equilibrium trajectory of a Brownian particle in a solvent fluid can be viewed as the superposition of an uncoun…
Long-tailed dissipationless hydromechanics: weak thermalization and ergodicity breaking
Giuseppe Procopio, Chiara Pezzotti, Massimiliano Giona
We analyze the dynamic properties of dissipationless Generalized Langevin Equations in the presence of fluid inertial kernels possessing power-law tails, . While…
A variational formulation of the governing equations of ideal quantum fluids
Roberto Mauri, Massimiliano Giona
Applying the least action principle to the motion of an ideal gas, we find Bernoulli's equation where the local velocity is expressed as the gradient of a velocity potential, while…
Fluid-particle interactions and fluctuation-dissipation relations III -- Correlated fluctuations, regularity and added mass
Massimiliano Giona, Giuseppe Procopio, Chiara Pezzotti
The fluctuation-dissipation theory is grounded on the Langevin condition expressing the local independence between the thermal force and the particle velocity history. Upon hydrody…
Fluid-particle interactions and fluctuation-dissipation relations II -- Gaussianity and Gaussianity breaking
Chiara Pezzotti, Massimiliano Giona, Giuseppe Procopio
The analysis of fluctuation-dissipation relations developed in Giona et al. (2024) for particle hydromechanics is extended to stochastic forcings alternative to Wiener processes, w…
Fluid-particle interactions and fluctuation-dissipation relations I -- General linear theory and basic fluctuational patterns
Massimiliano Giona, Giuseppe Procopio, Chiara Pezzotti
The article provides a unitary and complete solution to the fluctuation-dissipation relations for particle hydromechanics in a generic fluid, accounting for the hydrodynamic fluid-…
Generalized fluctuation-dissipation relations in confined geometries and concentrated conditions
Massimiliano Giona, Giuseppe Procopo, Chiara Pezzotti
his article extends the fluctuation-dissipation analysis to generic complex fluids in confined geometries and to all the cases the hydromechanic fluid-interaction kernels may depen…
On the ergodicity breaking in well-behaved Generalized Langevin Equations
Giuseppe Procopio, Chiara Pezzotti, Massimiliano Giona
The phenomenon of ergodicity breaking of stochastic dynamics governed by Generalized Langevin Equations (GLE) in the presence of well-behaved exponentially decaying dissipative mem…
Dynamic fluctuation-dissipation theory for Generalized Langevin Equations: constructive constraints, stability and realizability
Massimiliano Giona, Giuseppe Procopio, Chiara Pezzotti
Using the initial-value formulation, a dynamic theory for systems evolving according to a Generalized Langevin Equation is developed, providing more restrictive conditions on the e…
On the theory of body motion in confined Stokesian fluids
Giuseppe Procopio, Massimiliano Giona
We propose a theoretical method to decompose the solution of a Stokes flow past a body immersed in a confined fluid in two simpler problems, related separately to the two geometric…
On the Hinch-Kim dualism between singularity and Faxén operators in the hydromechanics of arbitrary bodies in Stokes flows
Giuseppe Procopio, Massimiliano Giona
We generalize the multipole expansion and the structure of the Faxén operator in Stokes flows obtained for bodies with no-slip to generic boundary conditions, addressing the assump…
Stochastic hydrodynamic velocity field and the representation of Langevin equations
Massimiliano Giona, Davide Cocco, Giuseppe Procopio +2
The fluctuation-dissipation theorem, in the Kubo original formulation, is based on the decomposition of the thermal agitation forces into a dissipative contribution and a stochasti…
Chemical kinetics and stochastic differential equations
Chiara Pezzotti, Massimiliano Giona
We propose a general stochastic formalism for describing the evolution of chemical reactions involving a finite number of molecules. This approach is consistent with the statistica…
Another normality is possible. Distributive transformations and emergent Gaussianity
Massimiliano Giona, Chiara Pezzotti, Giuseppe Procopio
A distributional route to Gaussianity, associated with the concept of Conservative Mixing Transformations in ensembles of random vector-valued variables, is proposed. This route is…
Particle-photon radiative interactions and thermalization
Chiara Pezzotti, Massimiliano Giona
We analyze the statistical properties of radiative transitions for a molecular system possessing discrete, equally spaced, energy levels, interacting with thermal radiation at cons…
Spectral properties of stochastic processes possessing finite propagation velocity
Massimiliano Giona, Andrea Cairoli, Davide Cocco +1
This article investigates the spectral structure of the evolution operators associated with the statistical description of stochastic processes possessing finite propagation veloci…
In the folds of the Central Limit Theorem: Lévy walks, large deviations and higher-order anomalous diffusion
Massimiliano Giona, Andrea Cairoli, Rainer Klages
This article considers the statistical properties of Lévy walks possessing a regular long-term linear scaling of the mean square displacement with time, for which the conditions of…
Extended Poisson-Kac theory: A unifying framework for stochastic processes with finite propagation velocity
Massimiliano Giona, Andrea Cairoli, Rainer Klages
Stochastic processes play a key role for modeling a huge variety of transport problems out of equilibrium, with manifold applications throughout the natural and social sciences. To…
Age representation of Levy walks: partial density waves, relaxation and first passage time statistics
M. Giona, M. D'Ovidio, D. Cocco +2
Levy walks (LWs) define a fundamental class of finite velocity stochastic processes that can be introduced as a special case of continuous time random walks. Alternatively, there i…
Homogenization Approaches to Multiphase Lattice Random Walks
Massimiliano Giona, Davide Cocco
This article analyzes several different homogenization approaches to the long-term properties of multiphase lattice random walks, recently introduced by Giona and Cocco, and charac…
Generalized Poisson-Kac processes and hydrodynamic modeling of systems of interacting particles I - Theory
Massimiliano Giona
This article analyzes the formulation of space-time continuous hyperbolic hydrodynamic models for systems of interacting particles moving on a lattice, by connecting their local st…
Multiphase Partitions of Lattice Random Walks
Massimiliano Giona, Davide Cocco
Considering the dynamics of non-interacting particles randomly moving on a lattice, the occurrence of a discontinuous transition in the values of the lattice parameters (lattice sp…
Relativistic analysis of stochastic kinematics
Massimiliano Giona
The relativistic analysis of stochastic kinematics is developed in order to determine the transformation of the effective diffusivity tensor in inertial frames. Poisson-Kac stochas…