Classical dynamical density functional theory: from fundamentals to applications

M te Vrugt, H Löwen, R Wittkowski - Advances in Physics, 2020 - Taylor & Francis
Classical dynamical density functional theory (DDFT) is one of the cornerstones of modern
statistical mechanics. It is an extension of the highly successful method of classical density …

Surfactants assisted solvothermal derived titania nanoparticles: synthesis and simulation

D Dastan, N Chaure, M Kartha - Journal of Materials Science: Materials in …, 2017 - Springer
Solvothermal method was used to prepare titanium dioxide (TiO 2) nanoparticles (NP's) of
various morphologies at 180° C growth temperature. Acetic acid and oley amine were used …

Unraveling hidden interactions in complex systems with deep learning

S Ha, H Jeong - Scientific reports, 2021 - nature.com
Rich phenomena from complex systems have long intrigued researchers, and yet modeling
system micro-dynamics and inferring the forms of interaction remain challenging for …

A comparative study between two models of active cluster crystals

L Caprini, E Hernández-García, C López… - Scientific reports, 2019 - nature.com
We study a system of active particles with soft repulsive interactions that lead to an active
cluster-crystal phase in two dimensions. We use two different modelizations of the active …

Dean-Kawasaki dynamics: ill-posedness vs. triviality

V Konarovskyi, T Lehmann, MK von Renesse - 2019 - projecteuclid.org
Electron. Commun. Probab. 24 (2019), no. 8, https://doi.org/10.1214/19-ECP208 Page 1
Electron. Commun. Probab. 24 (2019), no. 8, 1–9. https://doi.org/10.1214/19-ECP208 ISSN …

On Dean–Kawasaki dynamics with smooth drift potential

V Konarovskyi, T Lehmann, M von Renesse - Journal of Statistical Physics, 2020 - Springer
On Dean–Kawasaki Dynamics with Smooth Drift Potential | SpringerLink Skip to main content
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Density fluctuations in weakly interacting particle systems via the dean-kawasaki equation

F Cornalba, J Fischer, J Ingmanns, C Raithel - arxiv preprint arxiv …, 2023 - arxiv.org
The Dean-Kawasaki equation-one of the most fundamental SPDEs of fluctuating
hydrodynamics-has been proposed as a model for density fluctuations in weakly interacting …

Theory of capillary tension and interfacial dynamics of motility-induced phases

L Langford, AK Omar - Physical Review E, 2024 - APS
The statistical mechanics of equilibrium interfaces has been well-established for over a half
century. In the past decade, a wealth of observations have made increasingly clear that a …

Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation

A Djurdjevac, H Kremp, N Perkowski - Stochastics and Partial Differential …, 2024 - Springer
We consider a nonlinear SPDE approximation of the Dean–Kawasaki equation for
independent particles. Our approximation satisfies the physical constraints of the particle …

Approximating particle-based clustering dynamics by stochastic PDEs

N Wehlitz, M Sadeghi, A Montefusco, C Schütte… - arxiv preprint arxiv …, 2024 - arxiv.org
This work proposes stochastic partial differential equations (SPDEs) as a practical tool to
replicate clustering effects of more detailed particle-based dynamics. Inspired by membrane …