23 citations · 39 across the 6 of their papers we have counts for
7 papers
A Finite Element Method for Fluctuating Navier--Stokes Equations
Dimitrios Gourzoulidis, Mirko Gallo, Soumaya Elkantassi +2
We introduce a finite-element framework for simulating thermal fluctuations in compressible fluids governed by the fluctuating Navier-Stokes equations. The method is designed to pr…
Orientable Surfactants on Thin Liquid Films: A Dynamic Density-Functional Theory Approach
Toby Kay, Serafim Kalliadasis
Thin liquid films are ubiquitous across many natural and engineering systems, including films which are laden with surface active molecules, i.e. surfactants. The presence of surfa…
Local Time Statistics and Permeable Barrier Crossing: from Poisson to Birth-Death Diffusion Equations
Toby Kay, Luca Giuggioli
Barrier crossing is a widespread phenomenon across natural and engineering systems. While an abundant cross-disciplinary literature on the topic has emerged over the years, the sto…
Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective
Luca Giuggioli, Seeralan Sarvaharman, Debraj Das +2
For more than a century lattice random walks have been employed ubiquitously, both as a theoretical laboratory to develop intuition about more complex stochastic processes and as a…
Extreme Value Statistics and Arcsine Laws of Brownian Motion in the Presence of a Permeable Barrier
Toby Kay, Luca Giuggioli
The Arcsine laws of Brownian motion are a collection of results describing three different statistical quantities of one-dimensional Brownian motion: the time at which the process…
Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach
Toby Kay, Luca Giuggioli
We derive, through subordination techniques, a generalized Feynman-Kac equation in the form of a time fractional Schrodinger equation. We relate such equation to a functional which…
Diffusion through permeable interfaces: Fundamental equations and their application to first-passage and local time statistics
Toby Kay, Luca Giuggioli
The diffusion equation is the primary tool to study the movement dynamics of a free Brownian particle, but when spatial heterogeneities in the form of permeable interfaces are pres…