7 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…