
Dr Marc Pradas
Director Of Research
School of Mathematics & Statistics
Biography
Professional biography
I'm a Senior Lecturer in Applied Mathematics in the School of Mathematics and Statistics at the Open University. My research interests are in the areas of fluid mechanics and statistical physics. Previously I was a postdoctoral research associate at the Complex Multiscale Systems group at Imperial College London (2009-2014). I did my PhD in theoretical/statistical physics at the University of Barcelona (2009).
I'm currently the Director of Research of the School of Mathematics and Statistics at the OU.
Research interests
My research interests cover a wide range of topics on the interface of applied mathematics, statistical physics, and engineering science. I give particular emphasis on soft condensed matter theory and fluid dynamics, including multiphase flows, microfluidics, and hydrodynamic instabilities. I'm also interested in stochastic/chaotic processes and emergent collective phenomena in complex and biological dynamical systems.
Part of my research is funded by EPSRC. I was a co-investigator of the project 'Fluid processes in smart microengineered devices: Hydrodynamics and thermodynamics in microspace' during 2015-2019, and I was the principal investigator of the project 'Droplets with dynamic size on smooth surfaces' during 2018-2021, in which we explored the interplay between a time-dependent variation of the volume of a sessile droplet and simple smooth variations on the solid surfaces.
Projects
Droplets with dynamic size on smooth surfaces
Droplets interacting with solid surfaces are found in a wide variety of daily life experiences and natural phenomena. Their study serves as a canonical example of a wetting phenomenon which, despite its simplicity, has been shown to be a remarkably complicated problem. Many theoretical efforts over the last few years have focused their attention on understanding how the properties of the solid surface affect the dynamics of the droplet, with particular emphasis on droplet control and manipulation, which is important for a wide range of technological applications, such as liquid-repellent surfaces, micro chemical reactors and fluid transport processes, and the rapidly growing fields of Nano- and micro-fluidics. Quite often the volume of the droplets is subject to external, time-dependent variations - a situation that we refer to as droplets with dynamic size. This occurs, for example, when there is mass exchange through the droplet interface (evaporation/condensation phenomena), or when droplets sit on porous materials so that liquid is absorbed through the pores. This project will explore the fundamental interplay between a time-dependent variation of the droplet volume and simple smooth variations on solid surfaces. We aim to investigate under which conditions a droplet may naturally exhibit lateral motion as its volume changes in time, and to exploit this in applications on droplet control, such as directed motion. The ultimate goal of the proposed research is the systematic and predictive theoretical and computational analysis of the dynamics of droplets with dynamic size on surfaces that have controllable and experimentally amenable properties. As a consequence, the outputs of this project can be used to recommend new design rules, geometries, and operational protocols for improved droplet control and manipulation in technological applications that rely on cooling/heating processes and/or porous-based micro-devices.
Publications
Journal Article
Coherent structure interactions in spatially extended systems driven by excited hidden modes (2025)
Physics-informed machine learning in asymptotic homogenization of elliptic equations (2024)
Flux-conserving directed percolation (2024)
Dynamics of pivoted slider bearings (2024)
Lubrication dynamics of a settling plate (2023)
On the lifetimes of two-dimensional droplets on smooth wetting patterns (2022)
Lacunarity transition in a chaotic dynamical system (2022)
Control of droplet evaporation on smooth chemical patterns (2021)
Flooding dynamics of diffusive dispersion in a random potential (2021)
Effective elastic properties of 3D stochastic bicontinuous composites (2019)
Hydrodynamic Characterization of Phase Separation in Devices with Microfabricated Capillaries (2019)
Contact angle hysteresis in a microchannel: Statics (2019)
3D stochastic bicontinuous microstructures: Generation, topology and elasticity (2018)
Uniformity transition for ray intensities in random media (2018)
Snap evaporation of droplets on smooth topographies (2018)
Solitary waves on falling liquid films in the inertia-dominated regime (2018)
Persistent stability of a chaotic system (2018)
Chaotic versus stochastic behavior in active-dissipative nonlinear systems (2017)
Aggregation-fragmentation-diffusion model for trail dynamics (2017)
Controlling roughening processes in the stochastic Kuramoto–Sivashinsky equation (2017)
Noise-induced transitions in rugged energy landscapes (2016)
Self-similarity of solitary waves on inertia-dominated falling liquid films (2016)
Dynamics of Fattening and Thinning 2D Sessile Droplets (2016)
Data-driven coarse graining in action: Modeling and prediction of complex systems (2015)
Power-law distributions in noisy dynamical systems (2015)
Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems (2015)
Nonlinear forecasting of the generalised Kuramoto-Sivashinsky equation (2015)
Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems (2015)
A new mode reduction strategy for the generalized Kuramoto–Sivashinsky equation (2015)
Operating ranges of gas-liquid capillary microseparators: experiments and theory (2014)
Pulse dynamics in a power-law falling film (2014)
New stochastic mode reduction strategy for dissipative systems (2013)
Bound-state formation in interfacial turbulence: direct numerical simulations and theory (2013)
Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains (2012)
Additive noise effects in active nonlinear spatially extended systems (2012)
Binary interactions of solitary pulses in falling liquid films (2012)
Pinning and avalanches in hydrophobic microchannels (2011)
Activity statistics, avalanche kinetics, and velocity correlations in surface growth (2010)
Avalanche dynamics in fluid imbibition near the depinning transition (2009)
Influence of disorder strength on phase-field models of interfacial growth (2008)
Dynamical scaling of imbibition in columnar geometries (2008)
Pressure-dependent scaling scenarios in experiments of spontaneous imbibition (2007)
Time-dependent couplings and crossover length scales in nonequilibrium surface roughening (2007)
Intrinsic versus superrough anomalous scaling in spontaneous imbibition (2006)
Presentation / Conference
Nonlinear Dynamics of Gas-Liquid Separation in a Capillary Microseparator (2018)
Thesis
Interfaces in disordered media. Scaling growth, avalanche dynamics, and microfluidic fronts (2009)