From the 1 of 4 linked papers with an AI index.
4 papers
Data-driven analysis of metastability in a stochastic bistable system
Ankan Banerjee, Manuel Santos Gutierrez, John Moroney +1
The paper introduces a data‑driven method using the Koopman operator to identify slow inter‑well transitions and fast saddle escapes in a stochastic bistable system, validating esc…
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…
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…