6 papers
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…
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…