8 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…
Steady inertial flow of a compressible fluid in a spatially periodic channel under large pressure drops: a multiscale semi-analytical approach
Valentina Biagioni, Bram Huygens, Giuseppe Procopio +3
Spatially-periodic channels are increasingly attracting attention as an efficient alternative to packed columns for a number of analytical and engineering processes. In incompressi…
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…
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…