arXiv subjects

Stefan Karpitschka

Publications and source records attributed to Stefan Karpitschka.

At least 19 recordsLinked to original sources

arXiv2026

Evaporation-Induced Pattern Formation and Wetting in Active Microtubule-Kinesin Droplets

Active networks composed of biopolymers and motor proteins provide versatile biomimetic systems that have advanced active matter physics and deepened our understanding of cytoskeletal dynamics and self-organization under diverse stimuli. In these systems, activity arises in aqueous solutions where motor proteins cross-link biopolymers and generate active stress driving the emergent network behavior. Here, we establish the active network in the form of a sessile, multi-component droplet on a substrate and investigate how evaporation influences its dynamics. We focus on how mass loss and compositional changes in the droplet reshape the behavior of the active suspension. We show that capillary and Marangoni flows drive the self-organization of microtubules into a distinctive radial arrangement within the droplet. The cross-linking ability of motor proteins gives rise to a striking non-monotonic wetting behavior, where the extensile stresses generated by the motor proteins strongly affect the characteristic timescale of the contact-line retracting and subsequent expansion. Using a combined experimental and theoretical approach, we demonstrate the crucial role of crosslinking in evaporating microtubule networks, and explain how active stresses together with evaporation-induced flows govern the dynamics of reconstituted microtubule systems and their wetting behavior. Evaporating droplets have recently attracted significant attention in the scientific community, and the findings of the setup presented in this study can have broad implications, ranging from self-organization and mechanical pattern formation in biological systems to questions about the origin of life.

cond-mat.soft↗

arXiv2025

Creases as elastocapillary gates for autonomous droplet control

Droplets are the core functional units in microfluidic technologies that aim to integrate computation and reaction on a single platform. Achieving directed transport and control of these droplets typically demands elaborate substrate patterning, modulation of external fields, and real-time feedback. Here we reveal that an engineered pattern of creases on a soft interface autonomously gate and steer droplets through a long-range elastocapillary repulsion, allowing programmable flow of information. Acting as an energy barrier, the crease bars incoming droplets below a critical size, without making contact. We uncover the multi-scale, repulsive force-distance law describing interactions between a drop and a singular crease. Leveraging this mechanism, we demonstrate passive and active filtration based on droplet size and surface tension, and implement functionalities such as path guidance, tunable hysterons, pulse modulators, and elementary logic operations like adders. This crease-based gating approach thus demonstrates complex in-unit processing capabilities - typically accessible only through sophisticated surface and fluidic modifications - offering a multimodal, potentially rewritable strategy for droplet control in interfacial assembly and biochemical assays.

cond-mat.soft↗

arXiv2025

Non-monotonic motion of sliding droplets on strained soft solids

Soft materials are ubiquitous in technological applications that require deformability, for instance, in flexible, water-repellent coatings. However, the wetting properties of pre-strained soft materials are only beginning to be explored. Here we study the sliding dynamics of droplets on pre-strained soft silicone gels, both in tension and in compression. Intriguingly, in compression we find a non-monotonic strain dependence of the sliding speed: mild compressions decelerate the droplets, but stronger compressions lead again to faster droplet motion. Upon further compression, creases nucleate under the droplets until finally, the entire surface undergoes the creasing instability, causing a ``run-and-stop" motion. We quantitatively elucidate the speed modification for moderate pre-strains by incremental viscoelasticity, while the acceleration for larger pre-strains turns out to be linked to the solid pressure, presumably through a lubrication effect of expelled oligomers.

cond-mat.soft↗

arXiv2025

Vapor-mediated wetting and imbibition control on micropatterned surfaces

Wetting of micropatterned surfaces is ubiquitous in nature and key to many technological applications like spray cooling, inkjet printing, and semiconductor processing. Overcoming the intrinsic, chemistry- and topography-governed wetting behaviors often requires specific materials which limits applicability. Here, we show that spreading and wicking of water droplets on hydrophilic surface patterns can be controlled by the presence of the vapor of another liquid with lower surface tension. We show that delayed wicking arises from Marangoni forces due to vapor condensation, competing with the capillary wicking force of the surface topography. Thereby, macroscopic droplets can be brought into an effective apparent wetting behavior, decoupled from the surface topography, but coexisting with a wicking film, cloaking the pattern. We demonstrate how modulating the vapor concentration in space and time may guide droplets across patterns and even extract imbibed liquids, devising new strategies for coating, cleaning and drying of functional surface designs.

cond-mat.soft↗

arXiv2024

Spatial mapping of magnetization fluctuations via time-lapse Kerr microscopy

Combining wide-field magneto-optical Kerr microscopy with a time-lapse analysis scheme allows investigating magnetization fluctuations with high spatial as well as temporal resolution. We here use this technique to study magnetization fluctuations in a thin ferromagnetic film prepared into a quasi-equilibrium magnetic state via a dedicated field sweep protocol. Our experiments reveal spatially localized noise hotspots distributed across the sample surface within the magnetic domains in the quasi-equilibrium state. The spatial density of the noise hot spots is very similar at different low magnetic field strengths, as expected from the fluctuation-dissipation theorem. The measurement scheme thus opens the way for the spatially resolved investigation of quasi-equilibrium noise processes in magnetic materials.

cond-mat.mes-hall↗

arXiv2024

Collective self-caging of active filaments in virtual confinement

Motility coupled to responsive behavior is essential for many microorganisms to seek and establish appropriate habitats. One of the simplest possible responses, reversing the direction of motion, is believed to enable filamentous cyanobacteria to form stable aggregates or accumulate in suitable light conditions. Here, we demonstrate that filamentous morphology in combination with responding to light gradients by reversals has consequences far beyond simple accumulation: Entangled aggregates form at the boundaries of illuminated regions, harnessing the boundary to establish local order. We explore how the light pattern, in particular its boundary curvature, impacts aggregation. A minimal mechanistic model of active flexible filaments resembles the experimental findings, thereby revealing the emergent and generic character of these structures. This phenomenon may enable elongated microorganisms to generate adaptive colony architectures in limited habitats, or guide the assembly of biomimetic fibrous materials.

physics.bio-ph↗

arXiv2024

Wetting ridge dissipation at large deformations

Liquid drops slide more slowly over soft, deformable substrates than over rigid solids. This phenomenon can be attributed to the viscoelastic dissipation induced by the moving wetting ridge, which inhibits a rapid motion, and is called "viscoelastic braking". Experiments on soft dynamical wetting have thus far been modelled using linear theory, assuming small deformations, which captures the essential scaling laws. Quantitatively, however, some important disparities have suggested the importance of large deformations induced by the sliding drops. Here we compute the dissipation occurring below a contact line moving at constant velocity over a viscoelastic substrate, for the first time explicitly accounting for large deformations. It is found that linear theory becomes inaccurate especially for thin layers, and we discuss our findings in the light of recent experiments.

cond-mat.soft↗

arXiv2023

Quantifying gliding forces of filamentous cyanobacteria by self-buckling

Filamentous cyanobacteria are one of the oldest and today still most abundant lifeforms on earth, with manifold implications in ecology and economics. Their flexible filaments, often several hundred cells long, exhibit gliding motility in contact with solid surfaces. The underlying force generating mechanism is not yet understood. Here, we demonstrate that propulsion forces and friction coefficients are strongly coupled in the gliding motility of filamentous cyanobacteria. We directly measure their bending moduli using micropipette force sensors, and quantify propulsion and friction forces by analyzing their self-buckling behavior, complemented with analytical theory and simulations. The results indicate that slime extrusion unlikely generates the gliding forces, but support adhesion-based hypotheses, similar to the better-studied single-celled myxobacteria. The critical self-buckling lengths align well with the peaks of natural length distributions, indicating the importance of self-buckling for the organization of their collective in natural and artificial settings.

physics.bio-ph↗

arXiv2023

Pattern formation under mechanical stress in active biological networks confined inside evaporating droplets

Active networks made of biopolymers and motor proteins are valuable bioinspired systems that have been used in the last decades to study the cytoskeleton and its self-organization under mechanical stimulation. Different techniques are available to apply external mechanical cues to such structures. However, they often require setups that hardly mimic the biological environment. In our study we use an evaporating sessile multi-component droplet to confine and mechanically stimulate our active network made of microtubules and kinesin motor proteins. Due to the well-characterized flow field inside an evaporating droplet, we can fathom the coupling of the intrinsic activity of the biological material with the shear stress generated by the flow inside the droplet. We observe the emergence of a dynamic pattern due to this combination of forces that vary during the evaporation period. We delineate the role that the composition of the aqueous environment and the nature of the substrate play in pattern formation. We demonstrate that evaporating droplets may serve as bioreactors that supports cellular processes and allows investigation on the dynamics of membraneless compartments. Such a setup is an original tool for biological structures to understand the mechanisms underlying the activity of the cytoskeleton under stress and, on the other hand, to investigate the potential of such adaptive materials compared to conventional materials.

cond-mat.soft↗

arXiv2022

Reversal of Solvent Migration in Poroelastic Folds

Polymer networks and biological tissues are often swollen by a solvent, such that their properties emerge from a coupling between swelling and elastic stress. This poroelastic coupling becomes particularly intricate in wetting, adhesion, and creasing, for which sharp folds appear that can even lead to phase separation. Here we resolve the singular nature of poroelastic surface folds and determine the solvent distribution in the vicinity of the fold-tip. Surprisingly, two opposite scenarios emerge depending on the angle of the fold. In obtuse folds such as creases, it is found that the solvent is completely expelled near the crease-tip, according to a nontrivial spatial distribution. For wetting ridges with acute fold angles, the solvent migration is reversed as compared to creasing, and the degree of swelling is maximal at the fold-tip. We discuss how our poroelastic fold-analysis offers an explanation for phase separation, fracture and contact angle hysteresis.

cond-mat.soft↗

arXiv2022

How liquid-liquid phase separation induces active spreading

The interplay between phase separation and wetting of multicomponent mixtures is ubiquitous in nature and technology and recently gained significant attention across scientific disciplines, due to the discovery of biomolecular condensates. It is well understood that sessile droplets, undergoing phase separation in a static wetting configuration, exhibit microdroplet nucleation at their contact lines, forming an oil ring during later stages. However, very little is known about the dynamic counterpart, when phase separation occurs in a non-equilibrium wetting configuration, i.e., spreading droplets. Here we report that liquid-liquid phase separation strongly couples to the spreading motion of three-phase contact lines. Thus, the classical Cox-Voinov law is not applicable anymore, because phase separation adds an active spreading force beyond the capillary driving. Intriguingly, we observe that spreading starts well before any visible nucleation of microdroplets in the main droplet. Using high-speed ellipsometry, we further demonstrate that surface forces cause an even earlier nucleation in the wetting precursor film around the droplet, initiating the observed wetting transition. We expect our findings to enrich the fundamental understanding of phase separation processes that involve dynamical contact lines and/or surface forces, with implications in a wide range of applications, from oil recovery or inkjet printing to material synthesis and biomolecular condensates.

cond-mat.soft↗

arXiv2022

Taylor Dispersion in Thin Liquid Films of Volatile Mixtures: A Quantitative Model for Marangoni Contraction

The Marangoni contraction of sessile droplets occurs when a binary mixture of volatile liquids is placed on a high-energy surface. Although the surface is wetted completely by the mixture and its components, a quasi-stationary non-vanishing contact angle is observed. This seeming contradiction is caused by Marangoni flows that are driven by evaporative depletion of the volatile component near the edge of the droplet. Here we show that the composition of such droplets is governed by Taylor dispersion, a consequence of diffusion and strong internal shear flow. We demonstrate that Taylor dispersion naturally arises in a self-consistent long wave expansion for volatile liquid mixtures. Coupled to diffusion limited evaporation, this model quantitatively reproduces not only the apparent shape of Marangoni-contracted droplets, but also their internal flows.

physics.flu-dyn↗

arXiv2022

Stick-Slip Contact Line Motion on Kelvin-Voigt Model Substrates

The capillary traction of a liquid contact line causes highly localized deformations in soft solids, tremendously slowing down wetting and dewetting dynamics by viscoelastic braking. Enforcing nonetheless large velocities leads to the so-called stick-slip instability, during which the contact line periodically depins from its own wetting ridge. The mechanism of this periodic motion and, especially, the role of the dynamics in the fluid have remained elusive, partly because a theoretical description of the unsteady soft wetting problem is not available so far. Here we present the first numerical simulations of the full unsteady soft wetting problem, with a full coupling between the liquid and the solid dynamics. We observe three regimes of soft wetting dynamics: steady viscoelastic braking at slow speeds, stick-slip motion at intermediate speeds, followed by a region of viscoelastic braking where stick-slip is suppressed by liquid damping, which ultimately gives way to classical wetting dynamics, dominated by liquid dissipation.

cond-mat.soft↗

arXiv2021

Effects of direction reversals on patterns of active filaments

Active matter systems provide fascinating examples of pattern formation and collective motility without counterparts in equilibrium systems. Here, we employ Brownian dynamics simulations to study the collective motion and self-organization in systems of self-propelled semiflexible filaments, inspired by the gliding motility of \textit{filamentous Cyanobacteria}. Specifically, we investigate the influence of stochastic direction reversals on the patterns. We explore pattern formation and dynamics by modulating three relevant physical parameters, the bending stiffness, the activity, and the reversal rate. In the absence of reversals, our results show rich dynamical behavior including spiral formation and collective motion of aligned clusters of various sizes, depending on the bending stiffness and self-propulsion force. The presence of reversals diminishes spiral formation and reduces the sizes of clusters or suppresses clustering entirely. This homogenizing effect of direction reversals can be understood as reversals providing an additional mechanism to either unwind spirals or to resolve clusters.

cond-mat.soft↗

arXiv2021

Pinning-induced folding-unfolding asymmetry in adhesive creases

The compression of soft elastic matter and biological tissue can lead to creasing, an instability where a surface folds sharply into periodic self-contacts. Intriguingly, the unfolding of the surface upon releasing the strain is usually not perfect: small scars remain that serve as nuclei for creases during repeated compressions. Here we present creasing experiments with sticky polymer surfaces, using confocal microscopy, which resolve the contact line region where folding and unfolding occurs. It is found that surface tension induces a second fold, at the edge of the self-contact, which leads to a singular elastic stress and self-similar crease morphologies. However, these profiles exhibit an intrinsic folding-unfolding asymmetry that is caused by contact line pinning, in a way that resembles wetting of liquids on imperfect solids. Contact line pinning is therefore a key element of creasing: it inhibits complete unfolding and gives soft surfaces a folding memory.

cond-mat.soft↗

arXiv2020

Evaporative self-assembly of motile droplets

Self-assembly is the underlying building principle of biological systems and represents a promising approach for the future of manufacturing, but the yields are often limited by undesirable metastable states. Meanwhile, annealing methods have long been an important means to guide complex systems towards optimal states. Despite their importance, there have been few attempts to experimentally visualize the microscopic dynamics that occur during annealing. Here, we present an experimental system that enables the study of interacting many-body dynamics by exploiting the physics of multi-droplet evaporation on a prescribed lattice network. Ensembles of motile binary droplets are seeded into a hexagonal lattice template where interactions are mediated through the vapor phase and can be manipulated through the application of a global gravitational field. We show that for finite systems (61 droplets) the interacting droplets have an effective long-ranged interaction that results in the formation of frustrated, metastable states. Application of a periodic, global gravitational field can drive the system through a non-equilibrium phase transition separating phase-locked synchronization from interaction-dominated behavior. Finally, we directly visualize field-driven annealing that leads to terminal states that are less frustrated. Overall, our results represent a new platform for studying many-body physics with long-ranged interactions, enabling the design of field-based control strategies for programming the self-assembly of complex many-body systems.

cond-mat.soft↗

arXiv2020

Regimes of Soft Lubrication

Elastohydrodynamic lubrication, or simply soft lubrication, refers to the motion of deformable objects near a boundary lubricated by a fluid, and is one of the key physical mechanisms to minimise friction and wear in natural and engineered systems. Hence it is of particular interest to relate the thickness of the lubricant layer to the entrainment (sliding/rolling) velocity, the mechanical loading exerted onto the contacting elements, and properties of the elastic boundary. In this work we provide an overview of the various regimes of soft lubrication for two-dimensional cylinders in lubricated contact with compliant walls. We discuss the limits of small and large entrainment velocity, which is equivalent to large and small elastic deformations, as the cylinder moves near thick or thin elastic layers. The analysis focusses on thin elastic coatings, both compressible and incompressible, for which analytical scaling laws are not yet available in the regime of large deformations. By analysing the elastohydrodynamic boundary layers that appear at the edge of the contact, we establish the missing scaling laws - including prefactors. As such, we offer a rather complete overview of physically relevant limits of soft lubrication.

physics.flu-dyn↗

arXiv2020

Wetting of two-component drops: Marangoni contraction versus autophobing

The wetting properties of multi-component liquids are crucial to numerous industrial applications. The mechanisms that determine the contact angles for such liquids remain poorly understood, with many intricacies arising due to complex physical phenomena, for example due to the presence of surfactants. Here, we consider two-component drops that consist of mixtures of vicinal alkane diols and water. These diols behave surfactant-like in water. However, the contact angles of such mixtures on solid substrates are surprisingly large. We experimentally reveal that the contact angle is determined by two separate mechanisms of completely different nature, namely Marangoni contraction (hydrodynamic) and autophobing (molecular). It turns out that the length of the alkyl tail of the alkane diol determines which mechanism is dominant, highlighting the intricate coupling between molecular physics and the macroscopic wetting of complex fluids.

physics.flu-dyn↗