163 citations · 1.1k across the 36 of their papers we have counts for
26 papers · 1 filter
An effective potential for generative modelling with active matter
Adrian Baule
Score-based diffusion models generate samples from a complex underlying data distribution by time-reversal of a diffusion process and represent the state-of-the-art in many generat…
Kinetics of random sequential adsorption of two-dimensional shapes on a one-dimensional line
Michał Cieśla, Konrad Kozubek, Piotr Kubala +1
Saturated random sequential adsorption packings built of two-dimensional ellipses, spherocylinders, rectangles, and dimers placed on a one-dimensional line are studied to check ana…
Loopy Lévy flights enhance tracer diffusion in active suspensions
Kiyoshi Kanazawa, Tomohiko G. Sano, Andrea Cairoli +1
Brownian motion is widely used as a paradigmatic model of diffusion in equilibrium media throughout the physical, chemical, and biological sciences. However, many real world system…
Optimal random deposition of interacting particles
Adrian Baule
Irreversible random sequential deposition of interacting particles is widely used to model aggregation phenomena in physical, chemical, and biophysical systems. We show that in one…
Weak Galilean invariance as a selection principle for coarse-grained diffusive models
Andrea Cairoli, Rainer Klages, Adrian Baule
Galilean invariance is a cornerstone of classical mechanics. It states that for closed systems the equations of motion of the microscopic degrees of freedom do not change under Gal…
Feynman-Kac equation for anomalous processes with space- and time-dependent forces
Andrea Cairoli, Adrian Baule
Functionals of a stochastic process Y(t) model many physical time-extensive observables, e.g. particle positions, local and occupation times or accumulated mechanical work. When Y(…