6 papers
Nonequilibrium ensemble averages using nonlinear response relations
Manuel Santos-Gutierrez, Valerio Lucarini, John Moroney +1
The transient time correlation function (TTCF) method is widely used in molecular fluids to compute non-equilibrium transport quantities, providing improved signal-to-noise ratios…
Kolmogorov Modes and Linear Response of Jump-Diffusion Models
Mickaël D. Chekroun, Niccolò Zagli, Valerio Lucarini
We present a generalized linear response theory for mixed jump-diffusion models -- combining Gaussian and Lévy noise interacting with nonlinear dynamics -- by deriving comprehensi…
Phase transitions for interacting particle systems on random graphs
Benedetta Bertoli, Grigorios A. Pavliotis, Niccolò Zagli
In this paper, we study weakly interacting diffusion processes on random graphs. Our main focus is on the properties of the mean-field limit and, in particular, on the nonuniquenes…
Markov matrix perturbations to optimize dynamical and entropy functionals
Manuel Santos Gutierrez, Niccolo Zagli, Giulia Carigi
An important problem in applied dynamical systems is to compute the external forcing that provokes the largest response of a desired observable quantity. For this, we investigate t…
A General Framework for Linking Free and Forced Fluctuations via Koopmanism
Valerio Lucarini, Manuel Santos Gutierrez, John Moroney +1
The link between forced and free fluctuations for nonequilibrium systems can be described via a generalized version of the celebrated fluctuation-dissipation theorem. The use of th…
Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response
Niccolò Zagli, Matthew Colbrook, Valerio Lucarini +2
The fluctuation-dissipation theorem is a cornerstone result in statistical mechanics that can be used to translate the statistics of the free natural variability of a system into i…